TSparseSystem Type

Summary

Defines the system to be solved by the TMtxSparse.Solve method.

Unit
Sparse

Declaration

TSparseSystem = (spsA = UMFPACK_A,       // Ax=b
                      spsAT = UMFPACK_At,     // A'x=b
                      spsAat = UMFPACK_Aat,   // A.'x=b
                      spsPtL = UMFPACK_Pt_L,  // P'Lx=b
                      spsL = UMFPACK_L,       //  Lx=b
                      spsLTP = UMFPACK_Lt_P,  // L'Px=b
                      spsLaTP = UMFPACK_Lat_P, // L.'Px=b
                      spsLT = UMFPACK_Lt,     // L'x=b
                      spsLaT = UMFPACK_Lat,   // L.'x=b

                      spsUQT = UMFPACK_U_Qt,  // UQ'x=b
                      spsU = UMFPACK_U,       // Ux=b
                      spsQUT = UMFPACK_Q_Ut,  // QU'x=b
                      spsQUaT = UMFPACK_Q_Uat, //QU.'x=b
                      spsUT = UMFPACK_Ut,     // U'x=b
                      spsUaT = UMFPACK_Uat);

Value	Description
spsA	Ax=b
spsAT	A'x=b
spsAat	A.'x=b
spsPtL	P'Lx=b
spsL	Lx=b
spsLTP	L'Px=b
spsLaTP	L.'Px=b
spsLT	L'x=b
spsLaT	L.'x=b
spsUQT	UQ'x=b
spsU	Ux=b
spsQUT	QU'x=b
spsQUaT	QU.'x=b
spsUT	U'x=b
spsUaT	U.'x=b

Description

Defines the system to be solved by the TMtxSparse.Solve method. In the declaration bellow L is lower triangular matrix, U is uper triangular matrix, P and Q are the permutation matrices and T denotes tranpose operation. PAQ = LU. Applies to Umfpack only.