Matrix Elements VB-800 Instrukcja Użytkownika Strona 67
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A2.5 Ox exported mathematics functions 59
mA[cM][cN] in: cM by cN matrix of rank cN
out: unchanged
dEps in: tolerance to use
bAbsolute in: TRUE:usedEps, FALSE: dEps × norm
Return value
−1: failure: out of memory; −2: failure: couldn’t find all singular values;
≥ 0: rank of matrix.
Description
Uses IDecSVD to find the rank of an m × n matrix A.
IntMatAlloc, IntMatFree, IntVecAlloc
INTMAT IntMatAlloc(int cM, int cN);
void IntMatFree(INTMAT im, int cM, int cN);
INTVEC IntVecAlloc(int cM);
cM, cN in: required matrix dimensions
Return value
IntMatAlloc returns a pointer to the newly allocated cM × cN matrix of integers
(INTMAT corresponds to int **), or NULL if the allocation failed, or if cM was 0.
Use IntMatFree to free such a matrix.
IntVecAlloc returns a pointer to the newly allocated cM vector of integers
(INTVEC corresponds to int *), or NULL if the allocation failed, or if cM was
0. Use the standard C function free to free such a matrix.
The allocated types are a matrix or vector of integers; there is no corresponding
type in Ox, and the allocated matrix cannot be passed directly to Ox code.
INullSpace
int INullSpace(MATRIX mA, int cM, int cN, bool fAppend);
mA[cM][cM] in: cM by cN matrix of rank cN, cM > cN (allocated
size must be cM by cM)
out: null space of A is appended (fAppend==TRUE)
or mA is overwritten by null space.
Return value
−1: failure: couldn’t find all singular values, or out of memory;
≥ 0: rank of null space.
Description
Uses IDecSVD to find the orthogonal complement A
∗
, m × m − n,ofanm × n
matrix A of rank n, n<m, such that A
∗0
A
∗
= I,A
∗0
A =0.
Note that the append option requires that A has full column rank (if not the last
m − n columns of U are appended).
IOlsNorm, IOlsQR, OlsQRacc
- Ox Appendices 1
- Contents 3
- Appendix A1 9
- Extending Ox 9
- A1.2 Adding C/C 10
- A1.3 Adding C/C 14
- A1.7 Linking Fortran code 28
- Appendix A2 29
- Exported Function Summary 29
- A2.2 Ox function summary 30
- FOxLibAddFunction 31
- FOxSetDataMember 32
- IOxRunInit 32
- IOxVersion 32
- OxFreeByValue 33
- OxDeleteObject 33
- OxLibArgError 34
- OxLibArgTypeError 34
- OxLibCheckArrayMatrix 34
- OxLibCheckMatrixSize 35
- OxLibCheckSquareMatrix 35
- OxLibCheckType 35
- OxLibValArrayCalloc 35
- OxLibValMatDup 36
- OxLibValMatMalloc 36
- OxMain,OxMainCmd 36
- OxMainExit 37
- OxMainInit 37
- OxMakeByValue 37
- OxMessage 38
- OxRunAbort 38
- OxRunError 38
- OxRunErrorMessage 38
- OxRunExit 38
- OxRunMainExitCall 39
- OxRunMessage 39
- OxValColumns 39
- OxValGet 39
- OxValHasType, OxValHasFlag 40
- OxValRows 40
- OxValSet 40
- OxValType 41
- SetOxExit 42
- SetOxGets 42
- SetOxMessage 43
- SetOxPipe 43
- SetOxPuts 43
- SetOxRunMessage 43
- SOxGetTypeName 43
- SOxIntFunc 44
- OxGiveWinFinish 47
- VeccCopyMat 54
- VecrCopyMat 54
- DBessel01, DBesselNu 55
- DBetaFunc 55
- DDens 55
- DecQRtMul 56
- DDiagXSXt, DDiagXtSXtt 56
- DQuan. . 58
- DTail 59
- DTrace, DTraceAB 59
- EigVecDiv 59
- FCubicSpline 60
- FIsInf, FIsNaN 60
- FPeriodogram, FPeriodogramAcf 61
- IDecQRt 61
- IEigValPoly,IEigen 63
- IEigenSym 63
- IGenEigVecSym 64
- IInvert, IInvDet 64
- ILDLbandDec 65
- ILUPlogdet 66
- IMatRank 66
- INullSpace 67
- IOlsNorm, IOlsQR, OlsQRacc 67
- ISymInv,ISymInvDet 69
- LDLbandSolve 69
- LDLsolve 70
- LDLsolveInv 70
- LUPsolve, LUPsolveInv 70
- MatBtBVec 71
- MatAlloc, MatAllocBlock 72
- MatCopy.. 73
- MatFree, MatFreeBlock 73
- MatGenInvert 73
- MatGetAt 74
- MatRan, MatRanNormal 74
- MatReflect, MatTranspose 74
- MatSetAt 75
- MatStandardize 75
- MatVariance 75
- RanDirichlet 76
- RanGetSeed 76
- RanNewRan, RanSetRan 76
- RanSetSeed 76
- SetFastMath 77
- SetInvertEps 77
- SetInf, SetNaN 77
- ToeplitzSolve 78
- VecAlloc 78
- VecrCopyMat, VeccCopyMat 78
- VecDiscretize 79
- VecTranspose 79
- Appendix A3 80
- Modelbase and OxPack 80
- OxPackDialog 83
- { 1,1,2,0 } 84
- OxPackGetData 85
- OxPackReadProfile 86
- OxPackSetMarker 86
- OxPackStore 86
- OxPackWriteProfile 87
- Modelbase::IsCrossSection 88
- Modelbase::LoadOptions 88
- Modelbase::GetModelSettings 88
- Modelbase::ReceiveData 89
- Modelbase::ReceiveDialog 89
- Modelbase::ReceiveModel 90
- Modelbase::SaveOptions 90
- Modelbase::SendDialog 90
- Modelbase::SendFunctions 91
- Modelbase::SendMenu 91
- Modelbase::SendMethods 93
- Modelbase::SendResults 93
- Modelbase::SendSpecials 93
- Modelbase::SendVarStatus 94
- Modelbase::SetModelSettings 95
- Modelbase::Batch 95
- Modelbase::BatchMethod 96
- Modelbase::BatchVarStatus 96
- A3.4 Adding support for Help 97
- A3.5 An example 99
- A3.5 An example 93 101
- A3.5 An example 95 103
- A3.5 An example 97 105
- A3.5 An example 99 107
- Appendix A4 108
- Using OxGauss 108
- A4.4 Calling OxGauss from Ox 109
- A4.5 How does it work? 110
- A4.6 Some large projects 110
- A4.7 Known limitations 112
- Appendix A5 113
- OxGauss Function Summary 113
- Appendix A6 136
- OxGauss Language Reference 136
- A6.3 Constants 137
- A6.4 Objects 139
- A6.5 OxGauss Program 140
- A6.6 External declarations 140
- A6.7 Statements 144
- A6.8 Expressions 148
- A6.9 Preprocessing 157
- Appendix A7 160
- Comparing Gauss and Ox syntax 160
- A7.3 G2Ox 165
- Appendix A8 166
- Random Number Generators 166
- A8.3 L’Ecuyer’s generator 167
- References 169
- Subject Index 170
- SUBJECT INDEX 163 171
- 164 SUBJECT INDEX 172
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