Contents

• NAME
• SYNOPSIS
  • F95 INTERFACE
  • C INTERFACE
• PURPOSE
• ARGUMENTS

NAME

     zhetrs - solve a system of linear equations A*X = B  with  a
     complex  Hermitian  matrix  A  using  the  factorization A =
     U*D*U**H or A = L*D*L**H computed by ZHETRF

SYNOPSIS

     SUBROUTINE ZHETRS(UPLO, N, NRHS, A, LDA, IPIVOT, B, LDB, INFO)

     CHARACTER * 1 UPLO
     DOUBLE COMPLEX A(LDA,*), B(LDB,*)
     INTEGER N, NRHS, LDA, LDB, INFO
     INTEGER IPIVOT(*)

     SUBROUTINE ZHETRS_64(UPLO, N, NRHS, A, LDA, IPIVOT, B, LDB, INFO)

     CHARACTER * 1 UPLO
     DOUBLE COMPLEX A(LDA,*), B(LDB,*)
     INTEGER*8 N, NRHS, LDA, LDB, INFO
     INTEGER*8 IPIVOT(*)

  F95 INTERFACE
     SUBROUTINE HETRS(UPLO, [N], [NRHS], A, [LDA], IPIVOT, B, [LDB], [INFO])

     CHARACTER(LEN=1) :: UPLO
     COMPLEX(8), DIMENSION(:,:) :: A, B
     INTEGER :: N, NRHS, LDA, LDB, INFO
     INTEGER, DIMENSION(:) :: IPIVOT

     SUBROUTINE HETRS_64(UPLO, [N], [NRHS], A, [LDA], IPIVOT, B, [LDB],
            [INFO])

     CHARACTER(LEN=1) :: UPLO
     COMPLEX(8), DIMENSION(:,:) :: A, B
     INTEGER(8) :: N, NRHS, LDA, LDB, INFO
     INTEGER(8), DIMENSION(:) :: IPIVOT

  C INTERFACE
     #include <sunperf.h>

     void zhetrs(char uplo, int n, int  nrhs,  doublecomplex  *a,
               int  lda,  int *ipivot, doublecomplex *b, int ldb,
               int *info);

     void zhetrs_64(char uplo, long n, long  nrhs,  doublecomplex
               *a, long lda, long *ipivot, doublecomplex *b, long
               ldb, long *info);

PURPOSE

     zhetrs solves a system of linear equations A*X =  B  with  a
     complex  Hermitian  matrix  A  using  the  factorization A =
     U*D*U**H or A = L*D*L**H computed by ZHETRF.

ARGUMENTS

     UPLO (input)
               Specifies whether the details of the factorization
               are stored as an upper or lower triangular matrix.
               = 'U':  Upper triangular, form is A = U*D*U**H;
               = 'L':  Lower triangular, form is A = L*D*L**H.

     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
               ZHETRF.

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

     IPIVOT (input)
               Details of the interchanges and the  block  struc-
               ture of D as determined by ZHETRF.

     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)
               = 0:  successful exit
               < 0:  if INFO = -i, the i-th argument had an ille-
               gal value