chptrs


NAME

chptrs - solve a system of linear equations A*X = B with a complex Hermitian matrix A stored in packed format using the factorization A = U*D*U**H or A = L*D*L**H computed by CHPTRF


SYNOPSIS

  SUBROUTINE CHPTRS( UPLO, N, NRHS, A, IPIVOT, B, LDB, INFO)
  CHARACTER * 1 UPLO
  COMPLEX A(*), B(LDB,*)
  INTEGER N, NRHS, LDB, INFO
  INTEGER IPIVOT(*)
 
  SUBROUTINE CHPTRS_64( UPLO, N, NRHS, A, IPIVOT, B, LDB, INFO)
  CHARACTER * 1 UPLO
  COMPLEX A(*), B(LDB,*)
  INTEGER*8 N, NRHS, LDB, INFO
  INTEGER*8 IPIVOT(*)
 

F95 INTERFACE

  SUBROUTINE HPTRS( UPLO, [N], [NRHS], A, IPIVOT, B, [LDB], [INFO])
  CHARACTER(LEN=1) :: UPLO
  COMPLEX, DIMENSION(:) :: A
  COMPLEX, DIMENSION(:,:) :: B
  INTEGER :: N, NRHS, LDB, INFO
  INTEGER, DIMENSION(:) :: IPIVOT
 
  SUBROUTINE HPTRS_64( UPLO, [N], [NRHS], A, IPIVOT, B, [LDB], [INFO])
  CHARACTER(LEN=1) :: UPLO
  COMPLEX, DIMENSION(:) :: A
  COMPLEX, DIMENSION(:,:) :: B
  INTEGER(8) :: N, NRHS, LDB, INFO
  INTEGER(8), DIMENSION(:) :: IPIVOT
 

C INTERFACE

#include <sunperf.h>

void chptrs(char uplo, int n, int nrhs, complex *a, int *ipivot, complex *b, int ldb, int *info);

void chptrs_64(char uplo, long n, long nrhs, complex *a, long *ipivot, complex *b, long ldb, long *info);


PURPOSE

chptrs solves a system of linear equations A*X = B with a complex Hermitian matrix A stored in packed format using the factorization A = U*D*U**H or A = L*D*L**H computed by CHPTRF.


ARGUMENTS

* UPLO (input)
Specifies whether the details of the factorization are stored as an upper or lower triangular matrix.

* N (input)
The order of the matrix A. N >= 0.

* NRHS (input)
The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.

* A (input)
The block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by CHPTRF, stored as a packed triangular matrix.

* IPIVOT (input)
Details of the interchanges and the block structure of D as determined by CHPTRF.

* B (input/output)
On entry, the right hand side matrix B. On exit, the solution matrix X.

* LDB (input)
The leading dimension of the array B. LDB >= max(1,N).

* INFO (output)