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A2.5 Ox exported mathematics functions 57
mA[cA][cA] in: ptr to matrix to be inverted
out: contains the inverse, if successful
pdLogDet out: the logarithm of the absolute value of the deter-
minant of A
piSignDet out: the sign of the determinant of A; 0: singular;
−1, −2: negative determinant; +1, +2: positive
determinant; −2, +2: result is unreliable
Return value
0: success; 1,2,3: see ILDLdec.
Description
Computes inverse of a matrix using LU decomposition.
ILDLbandDec
int ILDLbandDec(MATRIX mA, VECTOR vD, int cB, int cA);
mA[cB][cA] in: ptr to sym. pd. band matrix to be decomposed
out: contains the L matrix (except for the 1’s on the
diagonal)
vD[cA] out: the reciprocal of D (not the square root!)
cB in: 1+bandwidth
Return value
See ILDLdec.
Description
Computes the Choleski decomposition of a symmetric positive band matrix. The
matrix is stored as in decldlband.
ILDLdec
int ILDLdec(MATRIX mA, VECTOR vD, int cA);
mA[cA][cA] in: ptr to sym. pd. matrix to be decomposed only
the lower diagonal is referenced;
out: the strict lower diagonal of A contains the L ma-
trix (except for the 1’s on the diagonal)
vD[cA] out: the reciprocal of D (not the square root!)
Return value
0 no error;
1 the matrix is negative definite;
2 the matrix is (numerically) singular;
3 NULL pointer argument
Description
Computes the Choleski decomposition of a symmetric positive definite matrix.
ILUPdec
- 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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