Guide and Reference

Linear Algebraic Equations (Message Passing)

The linear algebraic equation subroutines are described in this chapter. These subroutines include a subset of the ScaLAPACK subroutines.

Note:

The dense and banded linear algebraic equation subroutines are designed in accordance with the proposed ScaLAPACK standard. (However, PDDTTRS does not support General Tridiagonal Matrix Transpose Solve.) See references [16], [18], [27], and [28]. If these subroutines do not comply with the standard as approved, IBM will consider updating them to do so. If IBM updates these subroutines, the update could require modifications of the calling application program.

Overview of the Dense Linear Algebraic Equation Subroutines

The dense linear algebraic equation subroutines provide solutions to linear systems of equations for real and complex general matrices and their transposes, and for positive definite real symmetric and complex Hermitian matrices.

Table 54. List of Dense Linear Algebraic Equation Subroutines

Descriptive Name	Long-Precision Subroutine	Page
General Matrix Factorization	PDGETRF PZGETRF	PDGETRF and PZGETRF--General Matrix Factorization
General Matrix Solve	PDGETRS PZGETRS	PDGETRS and PZGETRS--General Matrix Solve
Positive Definite Real Symmetric or Complex Hermitian Matrix Factorization	PDPOTRF PZPOTRF	PDPOTRF and PZPOTRF--Positive Definite Real Symmetric or Complex Hermitian Matrix Factorization
Positive Definite Real Symmetric or Complex Hermitian Matrix Solve	PDPOTRS PZPOTRS	PDPOTRS and PZPOTRS--Positive Definite Real Symmetric or Complex Hermitian Matrix Solve