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Updated: June 2017
 
 

zsptrs (3p)

Name

zsptrs - metric matrix A stored in packed format using the factorization A = U*D*U**T or A = L*D*L**T computed by ZSPTRF

Synopsis

SUBROUTINE ZSPTRS(UPLO, N, NRHS, AP, IPIVOT, B, LDB, INFO)

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

SUBROUTINE ZSPTRS_64(UPLO, N, NRHS, AP, IPIVOT, B, LDB, INFO)

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




F95 INTERFACE
SUBROUTINE SPTRS(UPLO, N, NRHS, AP, IPIVOT, B, LDB, INFO)

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

SUBROUTINE SPTRS_64(UPLO, N, NRHS, AP, IPIVOT, B, LDB, INFO)

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




C INTERFACE
#include <sunperf.h>

void zsptrs(char uplo, int n, int nrhs, doublecomplex *ap, int *ipivot,
doublecomplex *b, int ldb, int *info);

void zsptrs_64(char uplo, long n, long nrhs,  doublecomplex  *ap,  long
*ipivot, doublecomplex *b, long ldb, long *info);

Description

Oracle Solaris Studio Performance Library                           zsptrs(3P)



NAME
       zsptrs - solve a system of linear equations A*X = B with a complex sym-
       metric matrix A stored in packed format using  the  factorization  A  =
       U*D*U**T or A = L*D*L**T computed by ZSPTRF


SYNOPSIS
       SUBROUTINE ZSPTRS(UPLO, N, NRHS, AP, IPIVOT, B, LDB, INFO)

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

       SUBROUTINE ZSPTRS_64(UPLO, N, NRHS, AP, IPIVOT, B, LDB, INFO)

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




   F95 INTERFACE
       SUBROUTINE SPTRS(UPLO, N, NRHS, AP, IPIVOT, B, LDB, INFO)

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

       SUBROUTINE SPTRS_64(UPLO, N, NRHS, AP, IPIVOT, B, LDB, INFO)

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




   C INTERFACE
       #include <sunperf.h>

       void zsptrs(char uplo, int n, int nrhs, doublecomplex *ap, int *ipivot,
                 doublecomplex *b, int ldb, int *info);

       void zsptrs_64(char uplo, long n, long nrhs,  doublecomplex  *ap,  long
                 *ipivot, doublecomplex *b, long ldb, long *info);



PURPOSE
       zsptrs  solves a system of linear equations A*X = B with a complex sym-
       metric matrix A stored in packed format using  the  factorization  A  =
       U*D*U**T or A = L*D*L**T computed by ZSPTRF.


ARGUMENTS
       UPLO (input)
                 Specifies whether the details of the factorization are stored
                 as an upper or lower triangular matrix.  = 'U':  Upper trian-
                 gular, form is A = U*D*U**T;
                 = 'L':  Lower triangular, form is A = L*D*L**T.


       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.


       AP (input)
                 Double complex array, dimension (N*(N+1)/2) The block  diago-
                 nal  matrix D and the multipliers used to obtain the factor U
                 or L as computed by ZSPTRF, stored  as  a  packed  triangular
                 matrix.


       IPIVOT (input)
                 Integer  array, dimension (N) Details of the interchanges and
                 the block structure of D as determined by ZSPTRF.


       B (input/output)
                 Double complex array,  dimension  (LDB,NRHS)  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 illegal value




                                  7 Nov 2015                        zsptrs(3P)