SRC/zposv.f(3)             Library Functions Manual             SRC/zposv.f(3)

NAME
       SRC/zposv.f

SYNOPSIS
   Functions/Subroutines
       subroutine zposv (uplo, n, nrhs, a, lda, b, ldb, info)
            ZPOSV computes the solution to system of linear equations A * X =
           B for PO matrices

Function/Subroutine Documentation
   subroutine zposv (character uplo, integer n, integer nrhs, complex*16,
       dimension( lda, * ) a, integer lda, complex*16, dimension( ldb, * ) b,
       integer ldb, integer info)
        ZPOSV computes the solution to system of linear equations A * X = B
       for PO matrices

       Purpose:


           !>
           !> ZPOSV computes the solution to a complex system of linear equations
           !>    A * X = B,
           !> where A is an N-by-N Hermitian positive definite matrix and X and B
           !> are N-by-NRHS matrices.
           !>
           !> The Cholesky decomposition is used to factor A as
           !>    A = U**H* U,  if UPLO = 'U', or
           !>    A = L * L**H,  if UPLO = 'L',
           !> where U is an upper triangular matrix and  L is a lower triangular
           !> matrix.  The factored form of A is then used to solve the system of
           !> equations A * X = B.
           !>

       Parameters
           UPLO

           !>          UPLO is CHARACTER*1
           !>          = 'U':  Upper triangle of A is stored;
           !>          = 'L':  Lower triangle of A is stored.
           !>

           N

           !>          N is INTEGER
           !>          The number of linear equations, i.e., the order of the
           !>          matrix A.  N >= 0.
           !>

           NRHS

           !>          NRHS is INTEGER
           !>          The number of right hand sides, i.e., the number of columns
           !>          of the matrix B.  NRHS >= 0.
           !>

           A

           !>          A is COMPLEX*16 array, dimension (LDA,N)
           !>          On entry, the Hermitian matrix A.  If UPLO = 'U', the leading
           !>          N-by-N upper triangular part of A contains the upper
           !>          triangular part of the matrix A, and the strictly lower
           !>          triangular part of A is not referenced.  If UPLO = 'L', the
           !>          leading N-by-N lower triangular part of A contains the lower
           !>          triangular part of the matrix A, and the strictly upper
           !>          triangular part of A is not referenced.
           !>
           !>          On exit, if INFO = 0, the factor U or L from the Cholesky
           !>          factorization A = U**H *U or A = L*L**H.
           !>

           LDA

           !>          LDA is INTEGER
           !>          The leading dimension of the array A.  LDA >= max(1,N).
           !>

           B

           !>          B is COMPLEX*16 array, dimension (LDB,NRHS)
           !>          On entry, the N-by-NRHS right hand side matrix B.
           !>          On exit, if INFO = 0, the N-by-NRHS solution matrix X.
           !>

           LDB

           !>          LDB is INTEGER
           !>          The leading dimension of the array B.  LDB >= max(1,N).
           !>

           INFO

           !>          INFO is INTEGER
           !>          = 0:  successful exit
           !>          < 0:  if INFO = -i, the i-th argument had an illegal value
           !>          > 0:  if INFO = i, the leading principal minor of order i
           !>                of A is not positive, so the factorization could not
           !>                be completed, and the solution has not been computed.
           !>

       Author
           Univ. of Tennessee


           Univ. of California Berkeley


           Univ. of Colorado Denver


           NAG Ltd.

       Definition at line 129 of file zposv.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

LAPACK                          Version 3.12.0                  SRC/zposv.f(3)