RSRC
LVARLBVW Ө
ls_intro VIs ls_intro Ctrls " > > " @
J B&* " > > " `PP` `LL`44 0 < ψ Ȉ fo fo fo P \ P_ \ _ U U + +++ ++ + ++ + ++++ + + + + + + + + ++ + + + + + + + + + + + + + + + ++ + + + + + + + A x B.vi
A x Vector.viReal LU Factor.vi"Real Compact Tri-Matrix Inverse.vi Real Compact Array to Matrix.vi"Real Compact Cho Inverse Matrix.viReal LU Inverse Matrix.vi!Solve General Linear Equations.vi%Real Compact Tri-Matrix Linear Eqs.vi$Real Compact Cho Linear Equations.vi Real Matrix to Compact Array.vi Real Compact Cholesky Factor.viInverse Matrix.viSolve Linear Equations.vi ls_intro.vi InstrUse InstrUse InstrUse InstrUse InstrUse InstrUse InstrUse InstrUse InstrUse
InstrUse InstrUse InstrUse
InstrUse InstrUse InstrUse A x B.vi
A x Vector.vi Real LU Factor.vi % "Real Compact Tri-Matrix Inverse.vi " Real Compact Array to Matrix.vi % "Real Compact Cho Inverse Matrix.vi Real LU Inverse Matrix.vi $ !Solve General Linear Equations.vi ( %Real Compact Tri-Matrix Linear Eqs.vi ' $Real Compact Cho Linear Equations.vi " Real Matrix to Compact Array.vi " Real Compact Cholesky Factor.vi Inverse Matrix.vi Solve Linear Equations.vi ls_intro.vi IIz1I@I@ `٠
`ـ A ሀ A A 5 A A A ` / */ ` 陀!!A! H
J
x
J+x
J H
8 1% I A$I 1 ! D 䑪D ! %%)=)B%)@%&@ `٠
`ـ A ሀ A A͂
%%=B% @% @ `٠
`ـ A ሀ A A % ! % IIz1I@I@ `٠
`ـ ! q@ ! !? gd A5ZACAZCBA A ` / */ ` @ @ 5AACBA A ` / */ ` a8 % a$ 0 * * * * 0 u5&$A$A A ` / (*/ ` 0͙0͙0͟0͙0͙0͙>y H
J
x
J+x
J H
` faf` mEUEUEUEUEUEm ` ` fρ af` `«@BUZ@BUZ@B`« Z Z (
@error @@
A x B @@
B @@
A ^ ^ (
@error @@
A x Vector @@
Vector @@
A p p "
@@
A 8@P @@
LU @@ PivotLU Info
@sign
@error
L@P @@
Compact Array @
array type Triangular Compact Array @@P @@
Compact Array @
array type
Inverse Array
@error t t @@P @@
Compact Array @
array type
Compact Array @@
Matrix A
@error @@P @@
Compact Array @
array type
Compact Array H@P @@
Compact Array @
array type Inverse Compact Array
@error r r 8@P @@
LU @@ PivotLU Info "@@
Inverse Matrix
@error z z 8
@error @@
Solution Vector @@
Known Vector @@
Input Matrix (
@error @@
Solution Vector @@
Known Vector L@P @@
Compact Array @
array type Triangular Compact Array (
@error @@
Solution Vector @@
Known Vector @@P @@
Compact Array @
array type
Compact Array (
@error @@P @@
Compact Array @
array type
Compact Array @ matrix type @@
Matrix A @@P @@
Compact Array @
array type
Compact Array J@P @@
Compact Array @
array type Cholesky Compact Array
@error (
@error "@@
Inverse Matrix N@ GeneralPositive DefiniteLower TriangularUpper Triangular matrix type @@
Input Matrix 8
@error @@
Solution Vector N@ GeneralPositive DefiniteLower TriangularUpper Triangular matrix type @@
Known Vector @@
Input Matrix = 9Performs the matrix multiplication of two input matrices. G CPerforms the multiplication of an input matrix and an input vector. Solves a linear system of simultaneous equations, if possible. The system is solved using the method known as L-U decomposition. Finds the inverse matrix of the input matrix if it exists. If the input matrix is nonsingular, then the inverse matrix can be found by solving the linear system
A B = I
where
A is the Input Matrix
B is the Inverse Matrix
I is the identity matirx.
Finds the inverse matix of the input matrix if it exists. If the input matrix is nonsingular, then the inverse matirx can be found by solving the linear system
A B = I
where
A is the Input Matrix
B is the Inverse Matrix
I is the identity matirx. Solves a real linear system AX=Y using svd algorithm.
If A is full rank, the vi finds the solution. In the case of multiple solutions, it finds the minimum 2-norm solution.
If A is rank deficit, the vi finds the least square solution.
Input Matrix is a square or rectangular, real matrix.
Known Vector. The number of elements in the Known Vector must be equal to the rows of the Input Matrix. If the number of elements in the Known Vector does not match the rows of the Input Matrix, the VI sets the Solution Vector to an empty array and returns an error.
Solution Vector is the solution X to AX = Y.
Let A be an m-by-n matrix that represents the Input Matrix, Y be the set of m coefficients in Known Vector, and X be the set of n elements in Solution Vector that solves the system AX = Y. Solves a linear system of simultaneous equations, if possible. The system is solved using the method known as L-U decomposition. Solves a linear system of simultaneous equations, if possible. The system is solved using the method known as L-U decomposition. Performs the cross multiplication of two input matrices. If A represents the first input matrix, B the second input, and C the resulting output matrix, the elements of C are determined according to the following equation
C[i,j] = Sum{ A[i,l] B[l,j] } for l = 0, 1, 2, ...k-1
where
k is the number of columns in A and the number of rows in
B
j ranges from 0 to (number of columns in B - 1)
i ranges from 0 to (number of rows in A - 1). N JFinds the Inverse Matrix, if it exists, of the Input Matrix. % !Solves a real linear system AX=Y. PTH0 gmath.chm PTH0 gmath.chm PTH0 gmath.chm PTH0 gmath.chm
A_x_B.html A_x_Vector.html Inverse_Matrix.html Solve_Linear_Equations.html . P Z:*몪j+jj
*:(Ȍ Ȅ ̌ Ȍ B 3Ȯڿۿ=* ?L $08@@.D@@VIDSA x B.viXFunlvanlys.*:MatrixMul_head:E$@P @aHandle @bHandle @cHandle @dsperrMatrixMul_headPTH0M ProgramfilerNational Instruments LabVIEW 6.1resource lvanlys.dllli3867 ~codeEwD~E\EPPUEd$=ti=Ð)Ӏ} tJELXC4C,C$C } uE$E E ƅƅ48tQRUd$ZYɍƅt hhUEP gmath.chm
A_x_B.html` ` fρ af``«@BUZ@BUZ@B`«\DTHPD88T[~
@@
A @@
B
@error$@@
A x BZJ@P @aHandle @bHandle @cHandle @dsperrMatrixMul_head| @XX@X |||| MDPIaRPJaRAH&g1xDg2xDNRRc[RSc[ H+jT{jU{H)z1Dz2DMDHQIQBHp /B0BH+/B0BNPYQY HR~S~QDSdSdA x BH}}ݎשּׁH'j{j{שּׁNUfUf H'm~$m~$QDؿerrorH 'QD$7O7OA x BHDiDzMiEzMHD|FOGOHD8)||HD HDoxpxFPHPA x B.vi @FPHP tL8 HRO'4
FX OHbSLK@P rX B 4f)yEA4
r
f0yE(G0 ] f0yE@ 2 Af)o0ppl@ 2 o)y0ook0 WX d'G0 sX gJ~0 UX dG,0X |@PXgJ~$4
J QQd\4
2
iS|lL@ 2 AgJrQppl@ 2 rJ~Qook0 gQ~@P2X B 4y)E(A4
r,
y0ED@ 2, Ay)0ppl@ 2, )0ook0 ], y0EHR %<<4
FP GRTK@PrP B 4'CA4
r
.CQ@ 2 A'.ppl@ 2 '.ook0 ] .C@PrP B 4'C A4
r
.CD@ 2 A'.ppl@ 2 '.ook0 ] .C0 WP %E0 sP Hԁ0 UP Eׄ,@ PPHԁ ( P4
J OZQ4
2
Q@ 2 AHOppl@ 2 HOook0 Oԁ0
,
P |H RRґ* HP
4
F
H ReG@ P2
H B 4|ԏ A4
r
|ۏ@
2
A|ԅppl@
2
ԏook0
]
|ۏ@
P2
H B 4i| A4
r
i|(@ 2 Airppl@ 2 r|ook0 ] i|0 W
H gґ0 s
H j'0 U
H g*,@P
Hj'
4
J
Tg0P4
2
l%h@ :
Ajuppl@ :
uook0
j'0$
H |h@P @r4
F@ 4
2@
M@ :@ Appl@ :@ ook0 @ 0@$ |, ,< 4
6PhL,H
<\ XL*~P7B is the second matrix. If the number of rows in B does not match the number of columns in A, the VI sets A x B to an empty array and returns an error.L : pS|Y00/.-p[A x B is the matrix containing the result of the matrix multiplication A x B.L : QW00/.-L :
s00/.-L :@ 00/.-T@error returns any error or warning condition from the VI.The number of columns in A must match the number of rows in B and must be greater than zero: k>0. If the number of columns in A does not match the number of rows in B, the VI sets A x B to an empty array and returns an error.The number of columns in A must match the number of rows in B and must be greater than zero: k>0. If the number of columns in A does not match the number of rows in B, the VI sets A x B to an empty array and returns an error.B is the second matrix. If the number of rows in B does not match the number of columns in A, the VI sets A x B to an empty array and returns an error.p[A x B is the matrix containing the result of the matrix multiplication A x B.8hXB,xH,,(X`8hB,l T8h,B,H|8hB,DtH,0d8hPB8hB, @8hB, L 8h
HB8hB, ( \ t8h
B, 8 x ,
<
l H8h B,
D <8h@B,(Xh 8h
B~p!'^F< D PTH0 lvanlys.*BDHPA x B.viXFunlvanlys.*:MatrixMul_head:E$@P @aHandle @bHandle @cHandle @dsperrMatrixMul_headPTH0M ProgramfilerNational Instruments LabVIEW 6.1resource lvanlys.dlll
p@
BDHP t%8
h
h
o,
H0 D 0@p{CcS4
BhC{NvxG0@p DdT44
BEPv0@p@~ʎ4
Bh{vLC0@p\Pˡ4
B v,pD4D | P, 0 LDTj@Dm8 ( d d p0kHy} 0P |4D0k, |,|Tp T T 0k @<
d(0P0k8 Hp0 \pP0k4D D
(4D$
4Dt
(
h @pH0 04
2
nyP@P0mz @0 3 mz L : io00/.-Hs\۬@pmTmS,h,h,H\@8hB,T t~Da\t%'
O32[< (A(
/
6
=
?w[TahomaTahomaTahoma00RSRC
LVINLBVWK0Y K@
4PRSIDHLVSR\BDPWpLIviCPTMDSTMDFDSLIdsVICDversDLDRFPTD$CPMp8VITSLSTRG`HLPPtHLPTICONDTHPTRecLIfpFPHPDLLPLIbdBDHPHISTFTAB$P t l"H(1 ,
p\(ܐl+@"'"l< X*l8 ؙX+x *
D<' <
< &Ԁ (| t̐ p xTH" ;$ ;4@%<(IIpA x B.vi + K U:*몪j+j뻯ﾾﾾ뻪럢
*:(Ȍ Ȅ ̌ Ȍ B 3Ȯڿۿ ?~?wx gmath.chmA_x_Vector.html ` faf` mEUEUEUEUEUEmPDTHPD88HO~
@@
A
@error&@@
Vector*@@
A x VectorVF@P @aHandle @xHandle @yHandle @dsperr AxVect_headl 88\\ \8 VD$Cx[Cy[
A x VectorMDn>Gn?GAHH&':(:NqHQqIQ HJvKvRDAjBjVectorH&9'9NGPHP H+IuJuHp ':(:VDp/p/
A x VectorH)Ԙ第Nrr Hl% QDerrorHHD'?H@HHD8) I!IHD|HD&ܶݶHDxV_W_ FPHP
A x Vector.viT@FPHPlL8LLS H4
Bw\hLHRm |$4
F m=HM@P r B 4 ;A4
r$
&;0 ]$ &;@ 2$ A &ppl@ 2$ &ook0 W =0 s @y0 U =|,0 |@P@y$4
J$ pGRh4
2$
Iw0P@ 2$ A@Gppl@ 2$ @Gook0 $ GyHR { <4
F| @k(@Pr| B 4 :A4
r
%:@ 2 A %ppl@ 2 %ook0 ] %:0 W| <0 s| ?x0 U| <{,@P|?xx P4
J FQG4
2
Hv@
2 A?Fppl@
2 ?Fook0
Fx0
4 |
|@
Pr B 4 ;A4
rP
&;Q@ 2P A &ppl@ 2P &ook0 ]P &;H R oʡ0T
|4
F t o0D@ Pr t B 4̙A4
r
әQ@
2 Ȁppl@
2 ̙ook0
] ә0
W t ʛ0
s t 0
U t ",@
P t x` 4
J qTK4
2
D@ : Appl@ : ook0 0
, t |h, t@Pd
@V4
F
t lL4
2
t
@ :
t Appl@ :
t ook0
t 0
t$r |, \ XL
HD'~78"Vector is the input vector.8"Vector is the input vector.|eA x Vector is the output vector containing the result of A multiplied by Vector.,dL :$ IO00/.-L : HN00/.-8hBL : 00/.-L :
t 00/.-T@error returns any error or warning condition from the VI.,P$Hx, DLP9A The number of columns: k in A must match the number of elements in X and must be greater than zero. For example, k must be greater than zero. If the number of columns in A does not match the number of elements in Vector, the VI sets A x Vector to an empty array and returns an error.|eA x Vector is the output vector containing the result of A multiplied by Vector.8h$B8h$B8hPB, L|,8l,d L8h|B8hB, TH@8hB, D t@8h B8h tB, L 48h
tB,
\,
0
d
8h B~!Xٜ'O uG< DP9A The number of columns: k in A must match the number of elements in X and must be greater than zero. For example, k must be greater than zero. If the number of columns in A does not match the number of elements in Vector, the VI sets A x Vector to an empty array and returns an error. PTH0 lvanlys.*BDHP
A x Vector.viXFunlvanlys.*:AxVect_head:EX"@P @aHandle @xHandle @yHandle @dsperr AxVect_headPTH0M ProgramfilerNational Instruments LabVIEW 6.1resource lvanlys.dll.
@
BDHP x
8
,
0 0 D 0@pؠKk[4
B>Iv(G0@pKk[44
B JvLK0@pL 蓻ۛ4
BhvP0@pۯ4
B۷v X4D
h4D
84D 0 xt h\Tj@Dt,H8 ( |,pd4D XL pX0kX XL| t Xx4D0
X X x @px4
24
U`LC0 34 Ta 0kX,LD X X0kX XD XLD<
|(Xxt0kXH Xt X0kX 4D
@PTa L@L :4 PV00/.-pp[p{Z{\Lˬ[,xXh,hx,L8h4B,t ~D!<տ
'O: F< (A(
/
6
=
?w[TahomaTahomaTahoma00RSRC
LVINLBVWF6 F`
4(RSIDHLVSR\BDPWpLIviCPTMDSTMDFDSLIdsVICDversDLDRFPTD$CPMp8VITSLSTRG`HLPPtHLPTICONDTHPTRecLIfphFPHP|DLLPLIbdBDHPHISTFTAB P| t8 &
tH t<<'x`*+ؙ萙lX* <p"'@"\+ܐ
T
Hp,(14l"$$p dT t 6̜67ԔD Et
A x Vector.vi 5 _ Zϫj着jj꿪뻪睊j+:Ȍ Ȍ <0 Ȍ +33+3;;;m?* XrCODE"D%6.1Oldest compatible LabVIEW. (+Xf DpzPPfP@@
A
@error8@P@@
LU@@PivotLU Info
@sign
0͙0͙0͟0͙0͙0͙>yH
J
x
J+x
J H
DTHPD '88~p
@@
A @@Pivot
@error&@@
LUD8@P@@
LU@@PivotLU Info
@sign>.P@@
A@@PivotN>@P@A
@pivot
@sign
@errorLU_head! @PhPP @ P $@P MDY=jFY>jFAH%p':p(:N[HlQ[IlQ H&sJvsKvHt%':(:QD֨רPivotH+N$ $ H| I INDssLUH+Hl%ttN_p#_p# Hw Hw HQDerrorHl*ZD$0H0HReal LU FactorSDXiXiLU InfoPDsignHHD_JpS_KpSHDDHDHD`iaiHDp%u 6u
6QDFfGfPivotHD /B0BHD "JRKRQDKjLjerror FPHPReal LU Factor.vi @FPHPL8 HRX |h4
FX X 0. If the number of columns in A does not match the number of rows in B, the VI sets AxB to an empty array and returns an error.
L : yIO00/.-L :
00/.-P;You can wire this output to the Find First Error VI to produce an error cluster. This cluster can then be wired to the Simple Error Handler VI or the General Error Handler VI for an immediate report on any errors. You can also look up error codes in the Error Codes Appendix in the LabVIEW Cross Reference Manual.
dOA x B is the matrix containing the result of the matrix multiplication A x B.
dOA x B is the matrix containing the result of the matrix multiplication A x B.
L : , }!00/.-L : "00/.-L : 00/.-~X"Жh% ''9XF< D,xH\8hXB,,(X8h,B8hB,l $,H|d8hB8hB8h
B,
H\8hB, T
x ,(X$,
, l 8h TB8h
xB8h ,B, l
T ,
H |8hB, @ |8hB8hPB, P 8hB, @t |,(h` PTH0 lvanlys.*BDHPReal LU Factor.viXFunlvanlys.*:LU_head:E @P@A
@pivot
@sign
@errorLU_headPTH0M ProgramfilerNational Instruments LabVIEW 6.1resource lvanlys.dll @
BDHPܜ8,
0 D 0@p
qIiyY4
B^IqTv0@p$Ќ44
BvE0@ph î4
Bhv0U@P ^k@4D4D L05@ ф 84D\x4DP4
2
_jJ 0@p 49L> Real Compact Array to MatrixQDerrorH|YDb!sb"s
Compact ArrayYD|F|G
Compact ArrayHl%/A0AN}OX}PX HQ}R}VD3t4t
array typeHl*˜˜H)2ˈ3LjHD)xuxuHD rMr MHDp 88HDÅԎÆԎ7lower triangularupper triangularsymmetric matrix.FPHP Real Compact Array to Matrix.vi@FPHPL8XL&~70X
4|HRhcҢ((4
F cvh@Pv B 4zԍA4
v\
zۍ0P@ 2\ Azԃppl@ 6\ ԍook0 ]\ zۍ0 W xҢ0 s {%0 U x(,@P{%<4
J ex(4
2
}#@ : A{ppl@ : ook0 {%0Xd| hx@P2 B 4ԠlA4
r
۠G@ 2 AԖppl@ 2 Ԡook0 ] ۠4
X37M?@Pxl@4
F Q4
2
D0 @ : @ppl@ : ook0 X |, xhL h x < S`a Ҫ
4
F 4 a tQ0
7 4 {%ͥ0
4 v Ҫ
<4
4
0. If the number of columns in A does not match the number of rows in B, the VI sets AxB to an empty array and returns an error.
L : 00/.-~XD"v蔗+#n%D< D, p 8h 4B,
<@8h
l >, Real Compact Array to Matrix.vi 1 Ss *몪絛絛껪jꪪꊪ:(Ȍ 00 00 @ H ̌ 33#jg
? ?~?{2LVIN"Real Compact Cho Inverse Matrix.vi @@P @@
Compact Array@
array type
Compact ArrayH@P @@
Compact Array@
array typeInverse Compact Array
@errorzzP
c8 P+
cP"@P@flg@oRt@eofudf@PP @@
Compact Array@
array type
Compact Array xP@
dfd PP@
txd PP@
old PP@
ext
c P"@P@flg@oRt@eofudfHPP @@
Compact Array@
array typeInverse Compact Array xP@
dfd PP@
txd PP@
old PP@
ext P
cRP"@P@flg@oRt@eofudf
PerrorxdfdPtxdPoldPext4P@@@(
P
4P@@@(
P
P" P@@ P" P@@(
c462P @@
Compact Array@
array type @@
Compact Array@
array typeD@@P @@
Compact Array@
array type
Compact Array @@
Compact Array@
array type
c
c
ch PvP vP vP
c
c@8x`p(Z=fDHPTl4@P\`l@l$p@t@d<`@8\@VIDS"Real Compact Cho Inverse Matrix.viXFun#lvanlys.*:Cholesky_InvMatrix_head:E@P@aH @dsperrCholesky_InvMatrix_headPTH0M ProgramfilerNational Instruments LabVIEW 6.1resource lvanlys.dllxi386`r~codep*dEwr~E\EPPUEd$=tY=Ð)Ӏ} t:ELXC lC$\C,`} uE$E E ƅ48tQRUSd$ZYɍHHƅ|t hhUEPiVD _ _
array typeHt'zΈ{ΈH t taDgx^gx^Inverse Compact ArrayYDSS
Compact ArrayH'ݨިשּׁN H'$$VDع
array typeH5C6CH //HDl%} j}
jHD8)rփer׃e HDHDqzrz7lower triangularupper triangularsymmetric matrix7lower triangularupper triangularsymmetric matrix2FPHP"Real Compact Cho Inverse Matrix.vi@FPHPL8
4
8 R6P0
| |0$ `4 |@P
(<Lx@h4
F@ ,LK4
2@
&:(G@ :@ A
ppl@ :@ (
ook0 @
(<0@ |h,tXLT'~h7,L @ : @ppl@ : ook0 2<S`d ՖdLh4
F| d wl0 7| ~Б0 | y Ֆ HR|~44
F ~1lL@Pr B 4.dA4
r
.D@ 2 Appl@ 2 ook0 ] .0 W 00 s 3l0 U 0o,@P3l04
J :ETK4
2
.4
B| kvxG0@pԕ44
BqՄfv0@p <֫4
BhvLC4D
` 4D l4D
, P
$ pd\
X86DQ8>:>:>IA(
/
6
=
?w[TahomaTahomaTahoma00RSRC
LVINLBVWN g M
4DRSIDy|><ϟc< x ?9Oç qøg} ?x< ÿ? 1 ?? 1 c&"" xx 33333333333_ zߙ ? z m HČDĠ D H Ġ 8H D D H Ġ 8H D H D H į H Ȭ 0 ƈ ̈( ,,,8 ( ,..̂ Ìb,..̂Ό̂ (̈,,,,, Ȍ ( @ Ƞ ʁʡ ̈,̢̂ ̀Ā̀ b 輪 ( ,..̂Σ ,,,,,,h 8̈,,,,H ̈,Σ ,,,,,,h (Ĉ,,,,̢.̢.̢.,8
̈, , , , , ̌ ̀̈( , , ̈, ̌ ̌?
? Ȭ ̎ B ̪ʈ,̬B H 3333 ȌȈ̈
̈ȌȈ̈̌ Ƞ* ̀Ό ( ̈ ̌ČL (̈Ā̌ H
Ḧ( ̈ ̌
h ( ,̂̈̈ ̀ ⪏.
*(* (
* (
*
*
H ʆˆˆ˕ Ȑ@ RSRC
LVINLBVWK
KD
< kgM z1D ُ B~{4WȤ(LVINReal LU Inverse Matrix.virr 8@P@@
LU@@PivotLU Info"@@
Inverse Matrix
@errorP
c8 P+
cP"@P@flg@oRt@eofudf8PP@@
LU@@PivotLU Info*xP@
@dfd*PP@
@txd*PP@
@old*PP@
@ext4P@@@(
P
cP"@P@flg@oRt@eofudf"P@
Inverse Matrixx@
dfdP@
txdP@
oldP@
ext P
cRP"@P@flg@oRt@eofudf
PerrorxdfdPtxdPoldPext4P@@@(
P
4P@@@( P
herror
c4@@
LU
@error<8@P@@
LU@@PivotLU Info@@Pivot@@
LU
c
c
ch PvP vP vP
c
c8Xj<lZ $,0htLGd$pxD HL@ T@TP@<D@H@VIDSReal LU Inverse Matrix.viXFun lvanlys.*:LUInvMatrix_head:Eh @P@A
@pivot
@errorLUInvMatrix_headPTH0M ProgramfilerNational Instruments LabVIEW 6.1resource lvanlys.dllF $i386d`"r~code`!Ew"r~E\EPPUEd$=tY=Ð)Ӏ} t:ELXC LC$DC,H} uE$E E ƅ48tQRUSd$ZYɍ`Hƅ\t hhUEP?@P@aH@bH@xH @dsperrGenLinEqs_headlDDllDD XDðñ Known VectorHٕٖꨬNĶտķտ H&ܸܹ䬬QD<[=[errorH =i>ijD$9Q9Q Solve General Linear Equations[D{[{\Solution VectorH&BUCUN|\e|]e H&^_XD{{ Input MatrixH+HDN}} H㔺㬬HD JKHD`,55HD(PPHDЦЧHDRS0FPHP!Solve General Linear Equations.vi@FPHPL8HR 4
FX ¯@P 2X B 4؍A4
r
ؔlL0 ] ؔ@ 2 A؍ppl@ 2 ook0 WX 0 sX ٮ0 UX ֫,0\
X |@PXٮ$4
J õD4
2
۷TK@ 2 Aٮppl@ 2 ook0 ٵ@P:l@<4
F, ;\Q4
2,
<jD@ :, A3:ppl@ :, 3:ook0 , :l0\,d |, ( l4
\8RQ,TXXL @/~7HR (z8h
4
F zZ@ P r B 4:V A4
r
AVG@
2 A:Appl@
2 :Aook0
] AV0
W 8X0
s [0
U X,@
P[ @4
J {[f4
2
](@ : AT[ppl@ : T[ook0 [0 \ X\ |0 \ |l ( l H R lz\p4
F z0P@
P2 B 4A4
r
𣕶h@ 2 Appl@ 2 ook0 ] 𣕶@P 2 B 4A4
r
𐕣@ 2
Appl@ 2
ook0 ]
𐕣0 W 0 s 0 U ,@P 4
Jp |M4
2p
hL@ 2p Appl@ 2p ook0 p 𑶨, l ( Known Vector. The number of elements in the Known Vector must be equal to the rows of the Input Matrix. If the number of elements in the Known Vector does not match the rows of the Input Matrix, the VI sets the Solution Vector to an empty array and returns an error.
L : 00/.-L :, <B00/.-P;You can wire this output to the Find First Error VI to produce an error cluster. This cluster can then be wired to the Simple Error Handler VI or the General Error Handler VI for an immediate report on any errors. You can also look up error codes in the Error Codes Appendix in the LabVIEW Cross Reference Manual.
t_Solution Vector is the solution X to AX = Y, where
A is the Input Matrix
Y is the Known Vector
L : ]c00/.-L :p 00/.-A. The number of columns in A must match the number of rows in B and must be greater than zero: k > 0. If the number of columns in A does not match the number of rows in B, the VI sets AxB to an empty array and returns an error.
~\0=T'S(*x< D,xHh8hXB,(X8hB8hB,H|0,l`T08hB8h,B, @ p ,\ ,
D
x
p
8h B8h B, d
@$8h B8h
B,
0p8h B8hpB,X\,
L
$ PTH0 lvanlys.*BDHP!Solve General Linear Equations.viXFunlvanlys.*:GenLinEqs_head:ET @P@aH@bH@xH @dsperrGenLinEqs_headPTH0M ProgramfilerNational Instruments LabVIEW 6.1resource lvanlys.dll
@BDHP p 8
,
40 Dh0@peՅu4
BIvLC0@pt44
B6v,4D H
0@p ((4
BQvP4D
@p\ x $,p00 @PΤ
<@4
20
ϥLK0 30 Τ t0@p lfv 4
BQv(GTj@D襶 @8 Tt4D
TP pT0kTƵ TP T,T4D D $t < T T T,\0kTƽ,PD T x TDx0kT8ž TD<
Tt<x$t T\$0kT\ɶ; Tt0kT Ѷվ4D
L :0 Ҡަ00/.-\վتؾžĕľu͕;v~Dڔp 'PW1< ,p
h8h0B (.dUUAn
dA(
/
6
=
?w[TahomaTahomaTahoma00RSRC
LVINLBVWJ
J
4RSID0LVSRDBDPWXLIvilCPTMDSTMDFDSLIdsVICDversDLDRFPTD CPMp STRG4ICONHDTHP\TRecpLIfpFPHP(DLLPd$ZYɍƅdt hhUEPȅ~PUȅ~P(lȅ~iPȅ~Opȅ~p @'PUEd$=uÐPȅ~PɅ~^_^ZY[]ÐQRud$ZY%Ul$SQRVW}#uQRURād$ZY_^ZY[]ÐUl$SQRVWt$$|$(~SQRVWPEEXPE EXQRhhuhPED$Xh\zǁd$ZY=t%EEPERUQ
YZX_^ZY[ÐuP$P$nd$ _^ZY[]ÐUl$SQRVWuaɅ~Fą~F@@ʅ~FDQRhUN@ād$ZY_^ZY[]ÐXNN>`ą~%00(CODE !DF%6.1Oldest compatible LabVIEW. D x!bİpPPP @@
Known Vector @@
Solution Vector
@errorL@P @@
Compact Array@
array typeTriangular Compact Array
Solves a linear system of simultaneous equations, if possible. The system is solved using the method known as L-U decomposition.%%=B%@%@`٠
`ـAሀAA%!%DTHPD+88ǜ~`
( @@
Compact Array
@error( @@
Known Vector. @@
Solution Vector @
array typeXL@P @@
Compact Array@
array typeTriangular Compact ArrayJ:@P @aClust@xH @dsperrTriLinEqs_headl(@@hh(@ nD$9$Q^9%Q^""Real Compact Tri-Matrix Linear EqsYDtNtO
Compact ArrayH8J9JNvXavYa HZ[dDZ*kZ+kTriangular Compact ArrayXDKL Known VectorNss H 1D2DNR[S[ H&TU[DrOrOSolution VectorHיؙꬬH QDԿտerrorH VD:{;{
array typeH ȡȡHx;ȍ<čHD(UUHD%>>HDTHD&"#HDktlt&lower triangularupper triangular4FPHP%Real Compact Tri-Matrix Linear Eqs.vi ,@FPHPL8 $ $ + 4
8#R_hLHR0s.<44
F sMM@P r B 40KA4
r$
7K0 ]$ 7K@ 2$ A07ppl@ 2$ 07ook0 W .M0 s P0 U M,@PP 4
J uWbh4
2
Y0P@ 2 APWppl@ 2 PWook0 W<S`XY)<4
F0 Y)l(0 70 s.ʭ|HR p'd 4
F J0 W ͜0 s "0 U %,@P "$<4
J rG@ P r B 4)EA4
rd
0E@
2d A)0ppl@
2d )0ook0
]d 0E0
W 'G0
s J0
U G,@
PJ<N4
J Q\Q4
2
SD@ 2 AJQppl@ 2 JQook0 Q0
dj |H R @q͢P 4
F qPQ@
P r B 4ϚA4
r
8
֚TK@ 2
8 Aϐppl@ 2
8 Ϛook0 ]
8 ֚4
2
D@ : Appl@ : ook0 "0 p 4 |,X @ pt@P@4
F lL4
2
@ : Appl@ : ook0 0@
|h, p @XXL\ (.~7\ @ p X0 0 n)ϲ00:4
F 9|(G4
J
ɢLK<
2 :ɎP 0 8ʐ@ 2 @18ppl@ 2 18ook PW01ʐ@H T0 Known Vector. The number of elements in Known Vector must match the dimension size of the input Matrix. If the number of elements in Known Vector does not match the size of Matrix, the VI sets Known Vector to an empty array and returns an error.
L : 00/.-L : SY00/.-D.Solution Vector is the solution X to AX = Y.
L : 00/.-P;You can wire this output to the Find First Error VI to produce an error cluster. This cluster can then be wired to the Simple Error Handler VI or the General Error Handler VI for an immediate report on any errors. You can also look up error codes in the Error Codes Appendix in the LabVIEW Cross Reference Manual.
L : Y_00/.-Matrix must be nonsingular and must be square. If Matrix is singular or is not square, the VI sets Solution Vector to an empty array and returns an error.
~ !X&+'>{FI< D,XH8hB,,d8hB8hdB,X @,
8`8h B8hB8h
8B,
x
,H8h B,
,
`
p
,0 \ L ,l(8hB8h0B8h$B,d,$Hxh8hB,\,h8hB,L PTH0 lvanlys.*BDHP%Real Compact Tri-Matrix Linear Eqs.viXFunlvanlys.*:TriLinEqs_head:E( @P @aClust@xH @dsperrTriLinEqs_headPTH0M ProgramfilerNational Instruments LabVIEW 6.1resource lvanlys.dllx @
BDHP x8 ,
`0 D40@p pVvf4
BVv0@p8 @۰44
B?vLC0@pļ4
Bhv4D
x
, h4Dl
0
L<h
h
,L0@pXğUue4
B!vxGTj@D<39 84D ( p(0k(| (8 t ( ( ,L,40k(X ( (8 0k( (4 (4<8t,L0k(l,p\RT4D,84D8 $P t @pdT4
2
jú@Pdiv l@0 3 iv T,hT,T(hL : ek00/.-܊oo̴H8|f|e~D !ap x'OT }O< ,t 8hB (A(
/
6
=
?w[TahomaTahomaTahoma00RSRC
LVINLBVWKJ J
4$RSID0LVSRDBDPWXLIvilCPTMDSTMDFDSLIdsVICDversDLDRFPTD CPMp STRG4ICONHDTHP\TRecpCPSTPLIfpdFPHPxDLLPLIbdBDHPHISTFTAB<'*PtxؙP+? cbbfffffffff 꺯X ?躯誝?L̈̀ H 8H Ġ 8H Do H D H H H Ġ 8H Ġ ? į H HH į Ϗ ʀ h(Ā̀ b ,,, 8̈$ ,,,(((h 8̈,,,,h, Ȁ̀b < ( ,..̂N$$$, ̈ (̈,,,, ( < Ȍb ,,̀ H ̈,Σ ,,,,,,h 8L,,,,,b,..̂ ̢.̢.L.,8
, , ̈, , ̌ ̈, , ̀ @ ̈, ̌ Ȯ?* Ϗ H Ȉ(̬B ̪ʈ,̬B ̀
433̈̌ ̈̈,ᏈȌȈ̈
Ȉ̌ ,Ƞ* ̀
( ̈ ̌
h ( ̈
̈(̈̀̌̌ H
̀
̀⪏.
*
* *(* *
<
H ʆˆˆ˕ Ȱ RSRC
LVINLBVWNI N`D
< o.tEu ُ B~hvx@ l*4LVIN$Real Compact Cho Linear Equations.vi(
@error @@
Solution Vector @@
Known Vector@@P @@
Compact Array@
array type
Compact ArrayP
c8 P+
cP"@P@flg@oRt@eofudf@PP @@
Compact Array@
array type
Compact Array pP@
dfd PP@
txd PP@
old PP@
ext4P@@@(
P
P
cP"@P@flg@oRt@eofudf P@
Known Vectorx@
dfdP@
txdP@
oldP@
ext4P@@@(
c P"@P@flg@oRt@eofudf P@
Solution Vectorx@
dfdP@
txdP@
oldP@
ext P
cRP"@P@flg@oRt@eofudf
PerrorxdfdPtxdPoldPext4P@@@(
P
P" P@@(
c< @@
Known VectorD@@P @@
Compact Array@
array type
Compact Array @@
Compact Array
c
c
c PvP vP vP vP
c(
c8xhJ^ z@@XdF@@X@xVIDS$Real Compact Cho Linear Equations.viXFun lvanlys.*:CholeskyLinEqs_head:E @P@aH@xH @dsperrCholeskyLinEqs_headPTH0M ProgramfilerNational Instruments LabVIEW 6.1resource lvanlys.dll 5i386uۅ~codeh" Ew܅~E\EPPUEd$==Ð)Ӏ} t~ELXC4C,{0t3QRhhhgǁd$ZY==C } XE$E E ƅƅ48tQRU'd$ZYɍHƅt hhUEP? Known VectorNm~#m~# H #6$6NDMEM H%FrGr[Dj{wj{wSolution VectorH`,H H HQD2Q3QerrorH( H HYDYjyY jy
Compact ArrayYDsAsB
Compact ArrayH&);*;NtIRtJR H+KwLwVD,m-m
array typeH+ààH ,Ì-HD&١7ڡ7HD UUHD&]]HD HDȜȜ7lower triangularupper triangularsymmetric matrix4FPHP$Real Compact Cho Linear Equations.vi 4@FPHPL8 , , 3 t4
2>L~P0
8 |HR |h((4
F =LK0 W 0 s K0 U N,@PK|<4
J l$(G@Pr B 47A4
rt
"7@ 2t A"ppl@ 2t "ook0 ]t "70 W 90 s < u0 U 9 x,@P< uDT4
J( CNlL4
2(
EsD@ 2( A0 s
@ Az0 U
@ >},@P
@Az84
Jp sHS0P4
2p
Jxh@ 2p AAHppl@ 2p AHook0 p Hz4
F +n4
J
ġM<
2 +čhLp @ 2 @")ppl@ 2 ")ook0 )ŏPW 8"ŏP@P\$Matrix must be nonsingular and must be square. If Matrix is singular or is not square, the VI sets Solution Vector to an empty array and returns an error.
L :p JP00/.- Known Vector. The number of elements in Known Vector must match the dimension size of the input Matrix. If the number of elements in Known Vector does not match the size of Matrix, the VI sets Known Vector to an empty array and returns an error.
L :( EK00/.-D.Solution Vector is the solution X to AX = Y.
L : !00/.-L : !00/.-P;You can wire this output to the Find First Error VI to produce an error cluster. This cluster can then be wired to the Simple Error Handler VI or the General Error Handler VI for an immediate report on any errors. You can also look up error codes in the Error Codes Appendix in the LabVIEW Cross Reference Manual.
~
h"XD"xH&'4KI
< D, t 8h 8B,
@8h
@B8h
B,
0pP,X 8h B8hpB,0l,<t,(hp8hB8h(B,htP 8htB8hB,Hp8hHB8hB,@l D8hB, < p P ,< PTH0 lvanlys.*BDHP$Real Compact Cho Linear Equations.viXFun lvanlys.*:CholeskyLinEqs_head:E @P@aH@xH @dsperrCholeskyLinEqs_headPTH0M ProgramfilerNational Instruments LabVIEW 6.1resource lvanlys.dllr@
BDHP8,
0 D0@p8BbR4
Bآ8v́0@p
4Vvf44
BVvxG0@p0Pڭ4
Bh^v0@p
,ٿ4
B vLC4Dd (
h ,4D |<,L,p8xdFL @pL L86Df P p4
2x
ɝ07l<v~P @l P07lv~ @lp07lfvn @l8Ԡ4Dl
P 0 3x ʞ Tj@D L -8 D D L 0k( ,pl HP,H 0k @P ʞ8@,hL HP ,Llh4Dd
4 0 ,0k L ,<D ,0k4D
,L0
4 8 P4D
h
L :x œ00/.-L0Ԭ
4fp ~8nRn~Dh" x'OTO< ,
d8hxB (A(
/
6
=
?w[TahomaTahomaTahoma00RSRC
LVINLBVWNI N`P
4$RSID0LVSRDBDPWXLIvilCPTMDSTMDFDSLIdsVICDversDLDRFPTD CPMp STRG4ICONHDTHP\TRecpCPSTPLIfpdFPHPxDLLPLIbdBDHPHISTFTABܤPthTD8,
4 '(dh$l"0!(1,,p ,ܐ
x+ @" '
h"< ( t X* + pؙ T 8 x * <'<0(G<
2 *LK @ : @ƺppl@ : ook0 ,<
2< xP @ 2< @ ppl@ 2<
ook0 <
z0XP<N|P, \ PW P,
@$0PW
z@8DMatrix must be nonsingular and must be square. If Matrix is singular or is not square, the VI sets Solution Vector to an empty array and returns an error.
L :
00/.-L : 00/.-A. The number of columns in A must match the number of rows in B and must be greater than zero: k > 0. If the number of columns in A does not match the number of rows in B, the VI sets AxB to an empty array and returns an error.
L :x BH00/.-~X@! +#3M] < D, 8h PB,
( XH8h
XB8h
B, H ,
0
p
H8hB8h B,
H,0H,8x8hHB8h0B,p$<8hB8hxB, `8hB8hI@ P=J< @ 8|0 3 =J h h, 8hXl, p \P @p 4
F \ `vJH R`T.@ Pv \ B 4<A@ 6 @hhh4
v
0U0 _ 0 W \ @ 6 ggg t 0 w \ 0 U \ . h t0 kh
|brj 8 h < h P, ph0 kh0brj h
< h
<
, h
<
lX 0 kh
brj0 kh brj h
l
h
l
<
t 8|
8 hXX hhX80 kh brj, P L : 9?00/.-L : 00/.- 8}} yzzz Xj]jC] lj\jw=w\ jW
W hzL <<jUU ~D@!x i
a o< , Lh8 hB, (
D8 h \B8 h B,
$
X8 hB, 8h ( A(
/
6
=
?w[TahomaTahomaTahoma00RSRC
LVINLBVWTHt T(
4TRSID$LVSR8BDPWLLIvi`CPTMtDSTMDFDSLIdsVICDversDLDRFPTDCPMpICON(DTHPL@P@ VIDS Real Compact Cholesky Factor.viXFunlvanlys.*:Cholesky_head:E|@P@aH @dsperr
Cholesky_headPTH0M ProgramfilerNational Instruments LabVIEW 6.1resource lvanlys.dllxi386~code0!dEw䧈~E\EPPUEd$=tY=Ð)Ӏ} t:ELXC,LC \C$P} uE$E E ƅT48tQRU[d$ZYɍpHHƅlTt hhUEPu ād$ ZY@SQRVWmQRLT|d$ZYfh,$_^ZY[Ð~QRhPUP6́d$ ZY=ƅt}$u ƅhhUEP8d$ fxƅxPQRhhP$Th˙ād$ZY=PXGXƅx}$u ƅ hhUEP8d$ =ifxn48tQRUuYd$ZY} t} uH} v}+uvQRPE@$G၍d$ZY==t p h搐ÐEw I~E\EPPUEd$=t=t=t=tEw EwppVLFX@'PUEd$=uÐP1~P1Dث~P1靖~P1~iP1 ~OpM~p @'PUEd$=uÐP 1k~P1~^P1ܬ~$P1~_^ZY[]ÐQRu~d$ZY%Ul$SQRVW}#uQRUnd$ZY_^ZY[]ÐUl$SQRVWt$$|$(~SQRVWPEEXPE EXQRhhuhPED$XhNād$ZY=t%EEPERUQ
YZX_^ZY[ÐuP$P$nd$ _^ZY[]ÐUl$SQRVWuo~F~F@N~FDQRhU@\d$ZY_^ZY[]ÐTxN5'W.~M%')@WqCODE0!DMd%6.1Oldest compatible LabVIEW. !h'f'XpPPP
@error@@P @@
Compact Array@
array type
Compact ArrayJ@P @@
Compact Array@
array typeCholesky Compact ArrayPerforms the cross multiplication of two input matrices. If A represents the first input matrix, B the second input, and C the resulting output matrix, the elements of C are determined according to the following equation
C[i,j] = Sum{ A[i,l] B[l,j] } for l = 0, 1, 2, ...k-1
where
k is the number of columns in A and the number of rows in
B
j ranges from 0 to (number of columns in B - 1)
i ranges from 0 to (number of rows in A - 1). 陀!!A!H
J
x
J+x
J H
8 1% I A$I1DTHPD"88~
@errorL@@P @@
Compact Array@
array type
Compact Array( @@
Compact Array
@
array typeZJ@P @@
Compact Array@
array typeCholesky Compact ArrayB2P @@
Compact Array@
array type8,@P@aH @dsperr
Cholesky_head|Dl|Dl|DDDP QDwxerrorHvwhD$3K3K Real Compact Cholseky FactorYDVg Vg
Compact ArrayYDpӁ1pԁ1
Compact ArrayHHˆˬNqقqڂ⬬ H8)ۚܚVD
array typeHp %3&3H& bD[vl[wl Cholesky Compact ArrayYDuu
Compact ArrayH%Nvv HˎˬVD
array typeHxH 巁峳HDޘߘHD']nt]ntHD ctctHDYbZb7lower triangularupper triangularsymmetric matrix7lower triangularupper triangularsymmetric matrix.FPHP Real Compact Cholesky Factor.vi@FPHPL8@Psp@4
FX vP4
2X
uLK@ :X Alsppl@ :X lsook0 X s0X |,
@,@
T4
2L(G tL
@ XL(-~H7<S`
U7T 4
F4 Uh
0 74 o20 4 j7 < {yy><8|<qy y~8{>? < {y y> {yy><8|<<<<<?<<<<<<<~<<3O<^
Q |H & @f@@v@V@fxn@f D
hr ptlxh@ft4~4@f * VIDSInverse Matrix.viVIDS Real Matrix to Compact Array.viPTH0VIDSReal LU Inverse Matrix.viPTH0VIDSReal LU Factor.vi|PTH0VIDS"Real Compact Tri-Matrix Inverse.viPTH0VIDS Real Compact Cholesky Factor.viPTH0VIDS"Real Compact Cho Inverse Matrix.viPTH0VIDS Real Compact Array to Matrix.viPTH0"o!i386!r~code "Ew$r~E\EPPUEd$==
Ð)Ӏ} ELXC4{8t3QRhhh衉ځd$ZY=u
C$C C,{0tVW_^} 4E$E E ƅƅ48tQRUGId$ZYɍ,ƅ(t hhUEPK ƅdpttƅdfxBK ƅhETr~E\EP.UR@␐}vt}vƅhfxF/ ƅlttPxhXPphXƅlfxJ EhxPRhZXQRhhlhځd$ZY= rɍtHHH HHHƅpƅpPdXfxN ƅt\(ETr~E\EP.UR@␐}vt}v`ƅtfxR ƅxtƅxfxV ƅ|ETer~E\EP.UR@␐}vt}vƅ|fxZs ƅtPXPXƅfx^d ƅtƅfxbd ƅET>r~E\EP.UR@␐}vt}vƅfxfH ƅtPXPXƅfxj9 Ehx2PRZXQRhhhPځd$ZY=ɍHHH HHHƅƅP Xfxn
ƅ|HETr~E\EP.UR@␐}vt}vƅfxr
ƅtƅfxv
ƅET r~E\EP.UR@␐}vt}vƅfxz
ƅtP XPXƅfx~}
ƅtƅfz
ƅETr~E\EP.UR@␐}vt}v=ƅf[
ƅtPXPXƅfI
EhxPRZXQRhhh}ځd$ZY=ƅ,}$u ƅhhUEP8d$ }$u ƅ hhUEP8d$ =fx
48tQRU!=d$ZY} t} uH} v}+uvQRPE@$A+d$ZY==t p h搐ÐEw r~E\EPPUEd$=t=t=t=tEw EwppVLFX@'PUEd$=uÐPE
(r~PE
(,r~PE
2Cr~PE
2Zr~iPE
2tr~OPE
2r~5PE
r~r~Ðx&mr~Ðx& Wr~Ðx&A r~Ðx&g+p-r~p @'PUEd$=uÐPE
Kr~PE
r~^PE
r~$PE
r~PE
0r~P_E
jr~vP E
Pr~Inverse Matrix, if it exists, of the Input Matrix. PTH0 gmath.chmInverse_Matrix.html5AAA` / */ `
pDTHPD&88
h
o~h
@error, @@
Input Matrix2"@@
Inverse Matrix^N@GeneralPositive DefiniteLower TriangularUpper Triangular matrix type( @@
Matrix AL@@P @@
Compact Array@
array type
Compact Arrayt @@P @@
Compact Array@
array type
Compact Array @@
Matrix A
@errorZJ@P @@
Compact Array@
array typeCholesky Compact Array @@P @@
Compact Array@
array type
Compact ArrayJ@P @@
Compact Array@
array typeCholesky Compact Array
@error @ matrix type(
@error@@P @@
Compact Array@
array type
Compact Array@ matrix type @@
Matrix ATH@P @@
Compact Array@
array typeInverse Compact Array @@P @@
Compact Array@
array type
Compact ArrayH@P @@
Compact Array@
array typeInverse Compact Array
@errorL@@P @@
Compact Array@
array type
Inverse ArrayXL@P @@
Compact Array@
array typeTriangular Compact Array
L@P @@
Compact Array@
array typeTriangular Compact Array@@P @@
Compact Array@
array type
Inverse Array
@error
@signD8@P@@
LU@@PivotLU Info @@
A|p"
@@
A8@P@@
LU@@PivotLU Info
@sign
@errorr 8@P@@
LU@@PivotLU Info"@@
Inverse Matrix
@error! |DDtttDDDDT,0T0<\DDTDXDXXDXXDXXDXXDXXDXXXDXDX ZD$@iX@jXInverse MatrixXDr=r> Input MatrixH`,&9'9NuGPuHP HIuJuH &9'9ZDs߄6s6Inverse MatrixHp ʯݞ˯ݬHh%ʜ˜ݬNvv H!QDerrorH
WD'o(o matrix typeHځڂ돳H '{({HDՑHD(pՁ,pց, HDHHD'TeTe YE^o^ k
.."General" HD"HDl"HD ]DpnpmReal LU Factor.vieDq1q3Real LU Inverse Matrix.vikDs\!s^ Real Compact Array to Matrix.vinDs8s:"Real Compact Cho Inverse Matrix.vikDrr Real Matrix to Compact Array.vikDss Real Compact Cholesky Factor.vikDnLnN Real Compact Array to Matrix.vikDm~m~ Real Matrix to Compact Array.vinDn#n%"Real Compact Tri-Matrix Inverse.vikDqSqU Real Compact Array to Matrix.vikDl}l} Real Matrix to Compact Array.vinDo)o+"Real Compact Tri-Matrix Inverse.vi@GeneralPositive DefiniteLower TriangularUpper Triangular FPHPInverse Matrix.vi|@FPHPL8tt{ 4
h?hYhLHRq L$4
F q<M@P r B 4 : A4
r$
%:0 ]$ %:@ 2$ A %ppl@ 2$ %ook0 W <0 s ?x0 U <{,0 h |@P?x`L$4
J$ tFQh4
2$
Hv0P@ 2$ A?Fppl@ 2$ ?Fook0 $ Fx@Pr B 4 : A4
r|
%:(@ 2| A %ppl@ 2| %ook0 ]| %:HR
Lr7pT
<4
F rޅ7@Pr B 4°A4
r
ɰG@ 2 A¦ppl@ 2 °ook0 ] ɰ@ Pr B 4(A4
r@
ɝ@
2@ Appl@
2@ ook0
]@ ɝ0
W 0
s 0
U ,@
P xP4
J uQ4
2
D@ : Aܖppl@ : ܢook0 0 h
| |@ P ÿ@4
F
Q4
2
TK@ :
Aظppl@ :
ook0
ؿ0 h
|h,
LtXL
< ~ 70 h
|@,
L
\
L
4
F &pD4
J
ـlL<
2 &|h@ 2 @ $ppl@ 2 $ook0 $~PW
~
@8"matrix type is the type of Input Matrix. Knowing the type of Input Matrix can speed up the computation of the determinant and can help you to avoid unnecessary computation, which could introduce numerical inaccuracy. matrix type has four possible options.\GInverse Matrix is the inverse matrix of the Input Matrix.L :
00/.-L :$ HN00/.-8hBL : 00/.-T@error returns any error or warning condition from the VI.,d,|$HxH\GInverse Matrix is the inverse matrix of the Input Matrix.8h$B,0p88h|B, @d8h@BInput Matrix must be nonsingular and must have as many rows as columns. If Input Matrix is singular or is not square, the VI sets Inverse Matrix to an empty array and returns an error.~ h X &' ]*U< DInput Matrix must be nonsingular and must have as many rows as columns. If Input Matrix is singular or is not square, the VI sets Inverse Matrix to an empty array and returns an error.8h$B,d L(8hB,\T8hB,48h B,
@ H8hB,x \, 4 h
8h
B BDHPInverse Matrix.viLVINReal LU Inverse Matrix.viXPTH0LVIN Real Compact Cholesky Factor.viaPTH0LVIN Real Matrix to Compact Array.vi^f,mPTH0LVIN"Real Compact Cho Inverse Matrix.vi\PTH0LVIN Real Compact Array to Matrix.viZtcjPTH0LVIN"Real Compact Tri-Matrix Inverse.vihp|PTH0LVINReal LU Factor.viUPTH0s, @BDHPr8s$s$s+,
0 D0@plؠ~4
Bv(G0@p
L Ւ44
BoԂ-vLK0@p չ4
BhvP,h@,2@h $0@p
@hxpp4
B@Sfv́4D R4 .14dWS
<$12P 4]p
,
2W\W00 d,,
2^h[00 x0.2
|gsm B @ B @ @@2 @0-2 l B B @@2l (*X4\d<
0-2 K4dY40
Bt ,L B.LX,lX @@2, ,t22(4DP
0-2
L,l 4dY|64
BP BXP @@2 P ,P4fA\&4@' ,
2ehe, 0
0 B D, L
B , X
$ B P ,
D ,
\ L \ B @,Ll
\
4jB"4hhGP 4hG 4hFl
@P j@4
2 x
J0 3 x , H x \ @ \,
2ll$0 |
d,d | B B H
$ B 4P
D,
4
$
D B @4 |oN,P+ !`"4 |m0MP- @ xT4, 4@PTrL@4
2
0U0 3 4 |r0I .4DP0
4DO @ h4dWT8P4^L>P4e?X
4 |p`Q
(4 |mHp24 ||J$3 "
$4cx= )*X*4a\@P )t-) 4^94d4 1 4/ &+ @ 4 |mlL(
14^>P ,4eEP!4kdDh
% .L@ 40tq -& p24/ 5Y$ D$40M%0*4 |p$N)@PPZHD@4
2
xG0 3 ,|E @P4a;
$ Tf40LN% 4/6V ` 40`OFSL ` T^ %@ , /ko 40 `[N[T % nd40 \@NG t # @40 0]@NG 8 dq40 ^@NG D4/ | [{Y !` $\! 40 !L_kvp %@! 40 !`akf!`4/ |!x " ""#T !H"<" 40!"pa" !%@" 40!"bz" !$\# 40!#@cz" !#tl40!#dz#T4 |K|!,4/$$%Y$<%t #+($$<4 |$J!0 "L H8%%@$\#4
x40#%,e $<4 |
L/ #-,%_40#%f %t &d' ''4 |oIx*4/%ܺ&F &0,H&&d40&0' g6C<40r /p+x,&d &0-,'@_40&0'th(6/' &0+('$<40&0'i(6/' &0(c$40&0(Dj(6/'4/(CcY() (X+((40(X(kS^X( (X,H),&d40(X)`lISN) 4/̿`40)t)mp}v )t,H*&d40)t*Dnbpi) )t+*x(40)t*obpi*X )t@*^,40)t+pbpi*4+\ %m%n0nd4%3mn=~%n %m
nn4%3mo <%o4 %mxno44%3mo*~%o %moT %nd t %p@qpq %np@%p@ %4o4 %p|
pn %
oD%1 |op(H;!4%
Kp|n(4&3p|p:(804&3p|q\98H@&qp &p|q(n4&3p|q88H@&q &p|8qq8&hB &q D,&3q &kl0l&~D 'T- 6< (A(
/
6
=
?w[TahomaTahomaTahoma00RSRC
LVINLBVWf 挾
4TRSIDHLVSR\BDPWpLIviCPTMDSTMDFDSLIdsVICDversDLDRFPTD$CPMp8VITSLSTRG`HLPPtHLPTICONDTHPTRec#CPSTLIfpFPHPLIbdBDHPHISTFTAB TPp ttȤ ( 0ȓ<Ԛ<@h<`T= =0=|!=D=ܐ>h>xIIhI J Jd"JJT K\
K K LH
LtLtM8M M$N,<NxNĴ O
O\8O4PPTxP Qp Qp Q RT0 RĘ !S4 "S#T$T%T&Uh)U܀V VD opq\ L%DInverse Matrix.vi ry Z Z ?kv ]纯 E=ڕ*몪j+뻯ﾾ뻯ﾾjꪯꫪ**꺯+꺯+꺯*૪:,Ȍ H 00 Ľ Č Ȟ Ȍ ̈ ;;;;;;;33;;333333333;3;3;3333;3;3;2333;3# #3 ! < {~<9<|x8<=x??qx {y y~8{>?y y>?ql < {yy>||{y y.q)
R^ c
H dpx\ @,@@@ @,@,@ @,@h|2<@D @,8@,d@lv@,b@,l@RL\j@,HVIDSSolve Linear Equations.viVIDS!Solve General Linear Equations.viPTH0VIDS Real Matrix to Compact Array.viPTH0VIDS%Real Compact Tri-Matrix Linear Eqs.viPTH0VIDS Real Compact Cholesky Factor.viPTH0VIDS$Real Compact Cho Linear Equations.viPTH0|Ii386 ֈ~code*hEwDֈ~E\EPPUEd$== Ð)Ӏ} ELXC4{8t3QRhhhmād$ZY= C C<C,{0tVW_^} 4E$E E ƅƅƅ48tQRU -d$ZYɍlƅht hhUEPƅET܈~E\EP.UR@␐}vt}vƅfxBƅtPXPXƅfxFEhxPRZXɍHHH ƅƅPlXfxJƅXET݈~E\EP.UR@␐}vt}vƅfxNaƅtƅfxRaƅ<ETcވ~E\EP.UR@␐}vt}vƅfxV9ƅtPXPXƅfxZ*Ehx!PRZXƅl}$u ƅdhhUEP8d$ }$u ƅ hhUEP8d$ =ifx
48tQRU$d$ZY} t} uH} v}+uvQRPE@$၍d$ZY==t p h搐ÐEw ߈~E\EPPUEd$=t=t=t=tEw EwppVLFX@'PUEd$=uÐPW xG~PW x^~PW u~PW $~iPW ~O~Ðx&~Ðx&~Ðx&6u ~Ðx&_p+~p @'PUEd$=uÐPW I~P'W ~^PW ~$P8W
~PW
.~PW h~vP*W ~ W ~_^ZY[]Ð=t,PEP$PP~$$@ $Ðd$=t,PEP$PP~$$@ $Ðd$=t,PEP$PP~$$@ $Ðd$=t,PEP$PP*~$$@ $Ðd$=t,PEP$PPc~$$@ $Ðd$=t,PEP$PP~$$@ $Ðd$=t,PEP$PP~$$@ $Ðd$=t,PEP$PP~$$@ $Ðd$.Ul$SQRVWT$ QRPE@$R၍d$ZY=_^ZY[]ÐDž$t@ $<Dž@ DDžHDžXDž`Dž,Dž0Dž4PTAB( Džt@ DžDžDžDžDžDžDžPTABDžt@ DžDžDžDžDžDžPTABDžLt@ LDdDžhDžx|DžDžTDžX Dž\PTABPHDžt@ Dž Dž 4$Dž(Dž0DžDžDž PTABDžt@ DžDžDžDžDžDžPTABDž\t@ \tDžxL|DžDžDžDždDžhDžlPTAB`XDžt@ ,Dž0Dž@LDDžHDž Dž Dž$PTABQRu贡d$ZY(Ul$SQRVW}#uQRU.d$ZY_^ZY[]ÐUl$SQRVWu~F 9~Fwֈ~F@i~FDQRhU d$ZY_^ZY[]ÐX M }
2 ֈ~7Z
Iky '
a
? 1W_go%PUx& 8
O
f
}
C|'`CODE*DpDh%6.1Oldest compatible LabVIEW. 0 lf pPPP @@
Known Vector
@error @@
Solution Vector @@
Input MatrixN@GeneralPositive DefiniteLower TriangularUpper Triangular matrix type NOldTag<<@0file name stringSolve Linear Equations%!Solves a real linear system AX=Y. PTH0 gmath.chm Solve_Linear_Equations.htmlIIz1I@I@ `٠
`ـAሀAADTHPD'88~|
@error, @@
Input Matrix( @@
Known Vector. @@
Solution Vector^N@GeneralPositive DefiniteLower TriangularUpper Triangular matrix type( @@
Matrix A @ matrix typeL@@P @@
Compact Array@
array type
Compact ArrayXL@P @@
Compact Array@
array typeTriangular Compact Array(
@error @@
Solution Vector @@
Known VectorL@P @@
Compact Array@
array typeTriangular Compact ArrayZJ@P @@
Compact Array@
array typeCholesky Compact Array @@P @@
Compact Array@
array type
Compact ArrayJ@P @@
Compact Array@
array typeCholesky Compact Array
@error(
@error@@P @@
Compact Array@
array type
Compact Array@ matrix type @@
Matrix Az8
@error @@
Solution Vector @@
Known Vector @@
Input Matrix(
@error @@
Solution Vector @@
Known Vector@@P @@
Compact Array@
array type
Compact Array!\DDlll 88DHDDlH HDl88HD4lD H88ll8ll8ll8ll8l XDqȤr Known VectorHYlZlNz{ H|Ϩ}ϨQDerrorH((bD$2Ji2JiSolve Linear Equations[D\ m}\ m}Solution VectorHt'ttN_ p)_!p) Hw"Nw#NWDVW matrix typeH HVWXDWqhWrh Input MatrixH&Zm[mHnZmn[mNZVk_ZWk_ H,q}q~HD '~(~HD&NmOmaEk| kx "Positive Definite" HD ППHD+)*HD|i;ziSolution Vector is the solution X to AX=Y where A is the Input Matrix and Y is the Known Vector.uSolution Vector is the solution X to AX=Y where A is the Input Matrix and Y is the Known Vector.L : {Ё00/.-L :,
00/.-T@error returns any error or warning condition from the VI.8hXB,xH@,(XL : }!'00/.-L : w|00/.-8"matrix type is the type of Input Matrix. Knowing the type of Input Matrix can speed up the computation of the determinant and can help you to avoid unnecessary computation, which could introduce numerical inaccuracy. matrix type has four possible options.8hB,H|8hB8h,BXAInput Matrix is a square or rectangular, real matrix. The number of columns in A must match the number of rows in B and must be greater than zero: k > 0. If the number of columns in A does not match the number or rows in B, the VI sets AxB to an empty array and returns an error.XAInput Matrix is a square or rectangular, real matrix. The number of columns in A must match the number of rows in B and must be greater than zero: k > 0. If the number of columns in A does not match the number or rows in B, the VI sets AxB to an empty array and returns an error.H3Known Vector The number of elements in the Known Vector must be equal to the rows of the Input Matrix. If the number of elements in the Known Vector does not match the rows of the Input Matrix, the VI sets the Solution Vector to an empty array and returns an error., @ p ,\ ,,l@T8hB8h B,
D
x
p
8h B,
0Tx 8hTB8h
B,p$ 8hB,H|0 ,,H 8h0B, `
D
8hB~\*0p)'';O_E< DH3Known Vector The number of elements in the Known Vector must be equal to the rows of the Input Matrix. If the number of elements in the Known Vector does not match the rows of the Input Matrix, the VI sets the Solution Vector to an empty array and returns an error. BDHPSolve Linear Equations.viLVIN Real Compact Cholesky Factor.viIPTH0LVIN Real Matrix to Compact Array.viF8MSPTH0LVIN$Real Compact Cho Linear Equations.viCPTH0LVIN%Real Compact Tri-Matrix Linear Eqs.viKPPTH0LVIN!Solve General Linear Equations.vi?PTH0WH@BDHPV 8W@W@WG,
<
(
0 Dh0@pBbR4
B& v0@p*J:44
BMnv,
( @ <$1$P 4j}
,
$AA 0 ,
$E8F 0 L 0.$ ~ B ( Bx ( @@$ (4C($
0-$ d4D0>
B Pl Bxl @@$l 0-$ B 8L
BxPL
,| B h,
4LH-
4U6L4LE1<
4D>0-$ 4B'x
B BxH @@$ 4LE/8
4LEt(4P5
4Md3
4M42
@PҡP@4
2
ѠX0 3 ҡ , d,
$LL"|
0 l B l, Dx B
D , B (, $ p$40 ,L @@$ 4 h0@p 4 ((H8
4
B
(v0@p ({:ZJ X4
B (h:{vE,l hL4D ;h (,
LP84D
0=l
0-$
B
L h Bx h, ,
4B&
@@$L
, 40@p l
IiY4
B
1~v B LL
, D L , |L
4 D
<
4 LF /P l`4 L|), 4 /Y !\ P4 LH.P@ PC\1@4
28
؋LC0 38 , x28h @xh , (
$4 LH, 4 / Y l!4 M4P,
$SR$0 BHl BHD BH| h BH4L
, x$x BH (4 6( @Hhx, H@l x@ PҡVhA@4
2
Ѡ0 3 ҡ 4 Sp:`
' "H4 S9
4 S9P$4 V<
"4 U; !4 S48&4 B`& |p4 /LT Y l @l4 0 E l E4 0 (F 4 /Lp ` < @4 0<G Έ < E4 0<LH < @l4 0<I ` < tJ4 0< J 4 /LdY | 0 |4 00K | 0 @4 008L 4 /L p LH4 0LM L @(4 0L\N L |4 0LO p LB4 0L ,P 4 L,-4!4 LJ)L
H t @ @hP 4 LHx*
4 0 Q
! M 4 L+0!4 0 R
H 4 L t+ 4 /
D H R\T4 0 S ! hM4 0 T !\ 4 0 U $K4 0 XV $$ l l4 L2 4 0 \ $t!(S4 0![ 4 !4H! ! "H"#T#4 O14 / !
"D""H "H<
D !!\L4 0""hZ "$t# S4 0"#@Y
" "$$# l #T4 0"#tX "#Q4 0"$W #4 $X8!% l#T4 V7T#< D$t$$|4hX ,D$j p
xpL :8 ۆ00/.-L : ͖00/.-L : ͖00/.-
LϬ Pʝɿʿ 8\ H tȬ
Ǣ @ ֬ hǒǐ @ P
D ! Ϳ\ ֬ !\ ֬ L\ ǯǚͯ D $tͿ
$$\ լ լ |\ hǯǚͯ J YY 4 48** : R @ $ @ @AAXAD 1??칷: 4
K?vxG ?@T@ @4 3??p9 ?
L@@4 3?A7ηӿ4 3?@@84 3?AD6ķɿ AX ?PA A A ?@A ?8B,
? ? B4 3?AxǾ @ BCDF| @ CD B AX C |A8 h8B, x%<C$ CDTD 1LB|CDHh"4
KCݶv0U4 3CBC4 3CBB4 3CD D CD4 3CE$ F|< IF8CL0< B EGGHX C E D F8 G E J,F|D 1LEFدϪ+@! CDJ,< xF8 I<0CL4
KF8OvJ4!3F8E*ϪǢ4!3F8Gt)!G !F8G@G4!3F8G(Ϛǒ!G !F8hGG4!3F8HD'!HX !F8PH
!E !IJ,J !GI!I ! G !HXD!1LHI\&0!4!
KI|v4"3IH% "IIG4"3IJ$з"J, "IIJ,4"3IJ#"J "I tJLJ4"
KKζv́ #JD#1KHJ" ! #KLPPL4#3KK!#K #K KhK4#3KL #L #KK4#3KLl #L #KL8N,# MK ,#MK #K #MNOO #L#M # DPP #M!N4M #NLD#1MN5@!4#
KMlvP4$3MMP4ŷͿ4$3MN3ǽ$N $MNhN4$3MOŧշͯ$O $MNO4$3MOlŷ$O $MLO8
$M H 8$hB$Q$PP4$3KP $KP $QQRTR $LO,$D%xOD$1 PpQ 0 !4$
KPͶvLK4%3PO/ %PQPQ4%3PQ.%Q %P|Q4%3PR@-%RT %PR 4%3PR,ݾ%R %PRtT,%HSP",%SP"x %Q# %STUTU %Q%S %xRT %S$tTpS %TRD%1 SPT<?X@!4%
KSlv(G4&3SS>ŷͿ4&3ST=ǽ&T &STT4&3SU@<ŧշͯ&UT &ShU UT4&3SU;ŷ&U &S4Ut
&O &xUT &U8&hB,&%LV0 &S!"&~D* Tߐ 'B$`< (3A(
/
6
=
?w[TahomaTahomaTahoma00RSRC
LVINLBVWn ̾p
4TRSIDHLVSR\BDPWpLIviCPTMDSTMDFDSLIdsVICDversDLDRFPTD$CPMp8VITSLSTRG`HLPPtHLPTICONDTHPTRec#CPSTLIfpFPHPLIbdBDHPHISTFTAB P0tp` p //x/040
1(81T 1x1<2 :(:t:t;$;p; < <|T
< =(" =|
= >$>px>h?ܐ?dD?!@@Ph@Ԛ@ȓAP( AA褗 B4 Bt Bp C CT!D̎"Dp`#D($EX%%EH &F@ FF G Th\t(j XtSolve Linear Equations.vi Lab Title: First order system
This lab is a part of SYSLAB (Dynamic Systems Virtual Lab), which consists of a number of virtual labs implemented in LabView. The labs in SYSLAB can be downloaded from http://www-pors.hit.no/~finnh/syslab/, and can be used freely.
--------------------------------------------------------------------------------
2000, Finn Haugen, Telemark University College, Norway
Finn.Haugen@hit.no, http://www-pors.hit.no/~finnh < s͢3#a## ##p# adir LVIN svιsvqA x B.vi LVIN svιsvq
A x Vector.vi LVIN sv̹svqReal LU Factor.vi LVIN sv̹svq"Real Compact Tri-Matrix Inverse.vi LVIN sv̹svq Real Compact Array to Matrix.vi LVIN svιsvq"Real Compact Cho Inverse Matrix.vi LVIN svιsvqReal LU Inverse Matrix.vi LVIN svιsvq!Solve General Linear Equations.vi LVIN svιsvq%Real Compact Tri-Matrix Linear Eqs.vi
LVIN svιsvq$Real Compact Cho Linear Equations.vi LVIN svιsvq Real Matrix to Compact Array.vi LVIN svιsvq Real Compact Cholesky Factor.vi
LVIN svιsvqInverse Matrix.vi LVIN svιsvqSolve Linear Equations.vi LVIN svsd ls_intro.vi o ؿ ] Z?? V?k *睊jﾾ뻪ꪩj*ﾾ뻪睊j*뻯ﾾꪪ뻯ﾾ+*꿺+***
:ꨢ*ꨢ*ꨢȌȌ 00 80000 00 00 :pF\f`gFdf QffF eF`f Qf$fF eFbf Qf$fF ٙٙ< # < ?2 8? ? 1?b 3DD@1 LDD 3 DDD 3 1LDD ?3 DD@D3 @ ?3 @ D3 @ 3'?}'?O^<_ ?y xy xyy'yӟgxyO | |yy?><<<<p?? ? 𨪪? 888888h888 (xz O 8 < 9OECHHHHEH9O +>胀 ??] ZZ: Z HLLĽ H H x d H ? ` H ` H 8 ` H 8H @ H H 8 ` `xH ?? Ϗ Ƞ ( b,̂/""" <
, Ì ̈b , ,b. ̃. .H< Ȫ̈ H"̈ ,< ( , . ̃ , ,, H< , , <̀ ,< ( , 8̈ ̌Nb $ $Lb. @ ̃ $ $ ̌ ̈,< ( , <, . b. ̢Ȉ, , @<,̌b , Ì. ., , , <<, <, ,, , , <,,, Ì. ̂ ̃b. ̃Ϋ ,̂. b. ̌ ̃ , b ,Σ . , , , 0,
,, ,̂ Ìb. , ,̈< ̈03, ,Σ , , <. ̢̢ , Ì̈̂ ̃, ,̂ ̃̃Ȉ̌. . < ?2 < ! Ϗ H ̌(<ȈH ̈ȞČ̈h ( ,Ꮘ̂̌ ̌̌Ȅ̌`̌Ȉh Ȍ H ̈ Ȉh Ȉ̀̌
̀
ȀČ̈ƀ ̂b,Ꮘ⻏..
, ̼B 13 733
+
Ȉ̿ψ,
̿ψ,B̰ H Ȍ̌
̻̀H ̈,̈̌̌ H ̈HL ̌Č̌Ȉ̌̌Č Ȉ̈ ̌Ȍ ψ,
r 0333333 B *(/ ( ̌̌ 131 1 ̼+ȈḦ BHĈ (*ʀ̌,̌̌̌ḦȞȈ̻,̌̌ ̌ČḦH ȈẍH Ȉ̀H ̈ ȈȈḦȈH ̈HȈḦHȈ,B̈H ̈̌̌̌Č̌Č
̌
̀
̀
]
]
13pp 1 pp 31 31 1 ]
*pp 1 pxp
*
*𨂏
*𨠏 ̌ +
H 33 Ϫlll\\ l ll lό RSRC
LVINLBVW$ D`
< °~EYm ُ B~*:ɗ/(fLVIN ls_intro.viLVINSolve Linear Equations.via8
@error @@
Solution VectorN@GeneralPositive DefiniteLower TriangularUpper Triangular matrix type @@
Known Vector @@
Input MatrixPTH0 Solve Linear Equations.viLVIN
A x Vector.vi.(
@error@@
A x Vector@@
Vector@@
APTH0
A x Vector.viILVINA x B.vi,(
@error@@
A x B@@
B@@
APTH0A x B.viLVINInverse Matrix.viT(
@error"@@
Inverse MatrixN@GeneralPositive DefiniteLower TriangularUpper Triangular matrix type @@
Input MatrixPTH0Inverse Matrix.viw
0
0P[
c8 P+
c RP"@P@flg@oRt@eofudf
P!stopx!dfdP!txdP!oldP!ext P
cNP"@P@flg@oRt@eofudfP
hp
dfdP
txdP
oldP
ext< P@@@ @
Numeric< P@@@ @
Numeric
cP"@P@flg@oRt@eofudfP@ @
Numericyp@
dfdP@
txdP@
oldP@
ext P
< P@@@ @
Numeric P
c P"@P@flg@oRt@eofudf.P@ @
Numerictheta_est_Solve_Lin_Eqp@
dfdP@
txdP@
oldP@
ext P
cP"@P@flg@oRt@eofudf P@ @
NumericPhip@
dfdP@
txdP@
oldP@
ext4 P@@@
P
cP"@P@flg@oRt@eofudf P@
theta_est_hiqx@
dfdP@
txdP@
oldP@
ext4 P@@@
P
cP"@P@flg@oRt@eofudf P@
theta_est_linalgx@
dfdP@
txdP@
oldP@
ext `n
c
c$
c
c
@!stop@
c
@error @@
A x Vector
cO @
Numeric @@
Known Vector
@error
c@millisecond multiple
c
@error@@
A
c@@
A x Vector
@error
cN@GeneralPositive DefiniteLower TriangularUpper Triangular matrix type"@@
Inverse Matrix
@error@@
A x B
cN@GeneralPositive DefiniteLower TriangularUpper Triangular matrix type
c @@
A
c @
h" @@ @
NumericPhi6@P @!status
@code@0sourceerror IO
c
@
h @@ @
Numericy
c
c<
c
c<
c
c<
c
c<
c
cD
c4
c
cD
c%
c
c
c
c
c
c
c @ PvP vP vP vP vP vP vP
cp
c
n
4
t.P$Z r48 x?6 C-?zG{?*0?陙@@??@?@?SRTB0$ DlT~|`~ ~theta_est_hiq= inv(Phi'*Phi)*Phi'*y;theta_est_hiqyPhiH~4:@Px
| dpxh $08 L $08d DH@Fx@h@|@`xL@T@8 d@z8VIDS ls_intro.viVIDSSolve Linear Equations.vi4PTH0VIDSInverse Matrix.vi@PTH0SFTB
hiqscript.dll
PTH0VIDS
A x Vector.viD8PTH0VIDSA x B.viFNV^%BS?
z
'8 GCODE D<%6.1Oldest compatible LabVIEW. , *'pPPP
@!stop@
h@@ @
Numericy @@ @
NumericPhi.@@ @
Numerictheta_est_Solve_Lin_Eq @@
theta_est_hiq @@
theta_est_linalgLab Title: First order system
This lab is a part of SYSLAB (Dynamic Systems Virtual Lab), which consists of a number of virtual labs implemented in LabView. The labs in SYSLAB can be downloaded from http://www-pors.hit.no/~finnh/syslab/, and can be used freely.
--------------------------------------------------------------------------------
2000, Finn Haugen, Telemark University College, Norway
Finn.Haugen@hit.no, http://www-pors.hit.no/~finnh
HiQ-Script
hiqscript.dll < s͢3#a## ##p#DTHPD88~"@
@
@!stop@
h@n!*@millisecond multiple( @millisecond timer value
$@@ @
Numericy @
Numeric. @@ @
NumericPhi>.@@ @
Numerictheta_est_Solve_Lin_Eq
@error. @@
Solution Vector^N@GeneralPositive DefiniteLower TriangularUpper Triangular matrix type( @@
Known Vector, @@
Input MatrixЃ8
@error @@
Solution VectorN@GeneralPositive DefiniteLower TriangularUpper Triangular matrix type @@
Known Vector @@
Input Matrix F6@P @!status
@code@0sourceerror IO( @@
theta_est_hiq, @@
theta_est_linalg*O @
Numeric*@@
A x Vector&@@
Vector @@
An^(
@error@@
A x Vector@@
Vector@@
A$@@
A x B @@
BjZ(
@error@@
A x B@@
B@@
A2"@@
Inverse Matrix(
@error"@@
Inverse MatrixN@GeneralPositive DefiniteLower TriangularUpper Triangular matrix type @@
Input Matrix,G 4HH4\l\\|\4((TT0XTdTd($Lp p@X$LpPD-I.IstopH$0"3"^4"^d H F MINSTE KVADRATERS METODEkD' 3' 3 Finn Haugen, TechTeach, juli-02MD]e^ehHacM?Q?QyH Yj YjOAnSAoSPhiH+[Vlh[XlgS K KNumericH8"N$MbGAYGBYtheta_est_Solve_Lin_EqH)a)r;a+r:SQE_rQF_rNumericHp%eIvueKvtSNumericH!©ĩHlyVhyXgYCD
theta_est_hiqH!+=-(.9=\D"E"theta_est_linalgH@!,L=x,N=wNH&QI&Q HD HD -
-MD>L">L"nHDDO`!O`!HD!t t
HD XOa>YOaySTOPPSTOPSTOPPSTOPFPHP ls_intro.vi+XFPHPȉ8+P+P+WXL*8+ .~ۜ7, 4O,5e0D4
O,J<
r2#_`! ,5e,5e,5e,5e,5e4
D!I 4
D&
4(I(Stops the program.~D $|Qf+)UpiAMO< 8hB,,``@P
hQ, ||,l t|4
F \f,M0 \d4
2
`8Ip 6 0Q
]cQ
]cQ
]c8hBXR p 2
Q]b
Q]b
Q]bL : `f0u0/.-0D4: | |HR@m hHR >W|||,
<, H
( H4
F >R4
r H
Xk
@
Pz B 4QoA0
w H Tod
|p
2 H _mb_mb_mb8
h HB l
tTi
|p
2 H 0Q_cQ_cQ_c0
_ Qq0
s XS
|
|
|
|0
D
|
,
<,0
U TWd8
hB X Th,
p P
|
|,
\X
|
|4
F @mT4
r
ZUmi@ Pz B 4SDqm A0 w
VQqmd@ PS | | | |, T4
J LO0
Sd4
2
!Op 2 0 c c c8hBh|R |p 2 b b bL : !'0u0/.-|||||||,`,T|||HRPF@ |4
F F@Z4
rp
`(s<N@Pz B 4Yw@ A8hpB` tTi0 wp \$w@d|p 2p gu%bgu%bgu%bp 2p 0Yg%cYg%cYg%c0 _ YyC|(0 U \@~d8hB
@
Th0 s `Dz,Hx,4
J| PD`sL4
2|
dHwvQ@P`D{z p :| k9wEbk9wEbk9wEbL :| dHwN0u0/.-p :| 0_9kEc_9kEc_9kEc0 | `D{zd8h|BT0R 0D $8h
B Tip 2
aDoRbaDoRbaDoRb0 _ SBpp 2
0SDaRcSDaRcSDaRc0 U Vmd8hB Th0 s Zq4
J ,L4
2
TOL : 0u0/.-@PВXDp 2 bbb0 d8hBDR p 2 0ccc0D<d@Pz B 4qDm 4A||, ` 4 4
r
xUiP0 w tQmdp 2 DRbDRbDRbp 2 0qDRcqDRcqDRc|,
(
(08hB TiHR#B ,!T, L |4
F B4
r
*>@Pz B 4B d)Ap 2 'b'b'b8h BTh, !(!X p 2 0'c'c'c0 w &Bd8h BTi0 _ E0 s F|0 U Bd4
J! FQ 0 ! F|d@PC F|#+p :! 0;Gc;Gc;Gc8h!BR 4
2!
Jx,p :! ;Gb;Gb;GbL :! JP0u0/.-,!"",##x!"0D * HR)Ca$1'0| $444
r%,
'+:?dN,$%,&&($(T4
F$ C#@Pz$ B 4 >C%l0A,$&<' %%0 w%, #'>Cd||8h%,B$h%%Ti|p 2%, .<(b.<(b.<(b0 _$ @F0 s$ 'G]}|p 2%, 0 .(c .(c .(c|@PC$ 'GB}'/d,)X((*d*))|0 U$ #Cad8h$ B&('' Th4
2'
+K>yҀp :' 0&<2Hc&<2Hc&<2Hc | |4
J' G'R0 ' 'GB}d8 h'B()D)0R 0 D*$.$ $ |,, h P#)p :' 2<>Hb2<>Hb2<>HbL :' +K>Q0u0/.-< )#P hh4 8BDHP ls_intro.viLVINSolve Linear Equations.viPTH0SFTB
hiqscript.dllPTH0LVIN
A x Vector.vi PTH0LVINA x B.vi ,PTH0LVINInverse Matrix.vi PTH00BDHP 8"8*H 0, #
L h0 D0 @4
Bv | \ , "
l. P|0 \66 @0 $
l4 @(0 %
lH
<, X D@ Pl
/
@ @4
2
.<0 3
/ @ l<4 /\0P i | \l|4 0\@KEi \ 4<4 0\h6@;i \| |4 0\6@;i 04 /\Vv/ P4 0fvn 04 0
Vf^ l4 \P <4 \/h
4 \! , 0dH D @D@ PMb# @0 3d Mb# 4
Jd =M#v4
2d
Na"āL! : 00/.-4!\
L! :d Q]00/.-!~D \ 8"ed,pN< 8!hdB,! 8!hB,!<
`!!D
'!
( ! !0!@h ( 44!
B sv "p";-- @%5B, 0v- @%4
" ;1; 1 "p
l""0"@4
N^V
4"
B
;Nv4#\h
0#@( 0(X4#
B(
v0$@
P:sJB4$
B's:
v`%\$fEnM 4(
h&ENIh4)
|(\4*\%*
4* -S +44+\( ,
+ +@P +@D+1\\("B4$ +4+
C!h$,, ,
<4,3 2B: ,4,3!7B<4,3p "2*,4,3"-72, ,T(,, ,4 ,@ 44,3#"-'4,ERK0- -@4
4-PE\P,.4d.d .@(.X .40.@ #44.
Bv(4/\
/X / ,/0/@% ) 0@8L/ , l$8$#34X5,6L7;< /4/
B, 0v 0
BA[A**[ 0
l<0 <D (
,m%4 3- +0'%4% 0L0
% 4$$l$8#
l H0 40/\/n0 0#xX400P2/ 40
Bv 1(410h3/ \1% 6s681 41
\&v2 p 2 !PD21\P.[N{D842
C [.( 3 p 3 D31\" !!A8GH3"@ 3 % < 433 5.k>{6s 3 $ "433 6>[NkFc 3 $l L 3 433 D4>kN{FsD31\ pm<='43
C ,Yl 4 , 4 , 443 , 9}4 4 ,$8 ,443 7.[>k6c 4 , (443 , ;}4 4 ,# 443 , <| .&4 4 $l 443 ?l |.t&4 4 ! 443 !<@| 4 4 $8!p ,443 !Al| t4!P44
C!J45
C Xkw 6"@""#d 6"`"@463 C1A9 6$""463"D!1)6" 64#
463#PE1A96" 6###d463#FH!1)6#d46\$(
6X#d 6 ,!P46\$ *,
46\$.
6 46\$,$
6" p46\d4
& Dx*& ed,pN< &,6(d (&I>&I>&I>
#=>?> ";PLESa8
?
F
M
O
QS Y_TahomaTahomaTahoma010ArialArial0RSRC
LVINLBVW$ ` 4RSIDHLVSR\BDPWpLIviCPTMDSTMDFDSLIdsVICDversDLDRFPTD$CPMp8STRGLICONicl4icl8DTHPTRec2CPSTLIfpFPHPLIbdBDHP$HIST8PRT LFTAB`ȒPt D((\ !X(111 2̄"2'4P (4)4X5Ph 7T ;XD < D`'DxE E E F$
Fx\ F(" G
Gd0GP$H\!HplH,!I8 I`lI8J"JP'J J KPp"KK & LH' L" L+ M4`" M|!MԠ*"N #Nl$NX %O&OP!)O(*PX%+Pl,P4(-Q8L.Q/Q40R,1Rx2Rܰ 3S0 4S0 5S"6TH 7T UU +U@ę'<) ls_intro.vi RSRC
LVARLBVW Ө 4 `
ADir PALM STR PLM2 CPST 8ICON `icl4 icl8 STR# CPTM DSTRG pHLPP `HLPT CPRF a 0 $ 8 < @ H
` H T R 8 < 0 ( ( .
Z
: B `| P ` T ( X l \ N \xę x 4 L x ! C
i @ l
% @ ` _ x K < T 4
z p
L T Z \d . ! n !` ! n "4 #L $d z '
( (
^ *p * f Z+ 7 * | +
p +8 +\ @ + +
+ + I + Z * \ T ` @l n
5 1
cH ( r d'ctlMenuctlMenuctlMenuctlMenuctlMenuctlMenu paletteMenu paletteMenu paletteMenu paletteMenu paletteMenu paletteMenuA x B.vi
A x Vector.viReal LU Factor.vi"Real Compact Tri-Matrix Inverse.vi Real Compact Array to Matrix.vi"Real Compact Cho Inverse Matrix.viReal LU Inverse Matrix.vi!Solve General Linear Equations.vi%Real Compact Tri-Matrix Linear Eqs.vi$Real Compact Cho Linear Equations.vi Real Matrix to Compact Array.vi Real Compact Cholesky Factor.viInverse Matrix.viSolve Linear Equations.vi ls_intro.viReal LU Factor.viReal LU Factor.viReal LU Factor.vi"Real Compact Tri-Matrix Inverse.vi"Real Compact Tri-Matrix Inverse.vi"Real Compact Tri-Matrix Inverse.vi"Real Compact Tri-Matrix Inverse.vi Real Compact Array to Matrix.vi Real Compact Array to Matrix.vi Real Compact Array to Matrix.vi"Real Compact Cho Inverse Matrix.vi"Real Compact Cho Inverse Matrix.vi"Real Compact Cho Inverse Matrix.vi"Real Compact Cho Inverse Matrix.viReal LU Inverse Matrix.viReal LU Inverse Matrix.viReal LU Inverse Matrix.viReal LU Inverse Matrix.viA x B.viA x B.viA x B.viA x B.viA x B.viA x B.vi
A x Vector.vi
A x Vector.vi
A x Vector.vi
A x Vector.vi
A x Vector.vi
A x Vector.vi!Solve General Linear Equations.vi!Solve General Linear Equations.vi!Solve General Linear Equations.vi!Solve General Linear Equations.vi%Real Compact Tri-Matrix Linear Eqs.vi%Real Compact Tri-Matrix Linear Eqs.vi%Real Compact Tri-Matrix Linear Eqs.vi%Real Compact Tri-Matrix Linear Eqs.vi$Real Compact Cho Linear Equations.vi$Real Compact Cho Linear Equations.vi$Real Compact Cho Linear Equations.vi$Real Compact Cho Linear Equations.vi Real Matrix to Compact Array.vi Real Matrix to Compact Array.vi Real Matrix to Compact Array.vi Real Compact Cholesky Factor.vi Real Compact Cholesky Factor.vi Real Compact Cholesky Factor.vi Real Compact Cholesky Factor.viInverse Matrix.viInverse Matrix.viInverse Matrix.viInverse Matrix.viInverse Matrix.viInverse Matrix.viSolve Linear Equations.viSolve Linear Equations.viSolve Linear Equations.viSolve Linear Equations.viSolve Linear Equations.viSolve Linear Equations.vi ls_intro.vi ls_intro.vi ls_intro.vi ls_intro.vi ls_intro.vi