ctptrs (3p)

Name

ctptrs - solve a triangular system of the form A*X = B, A**T*X = B, or A**H*X = B, where A is a triangular matrix of order N stored in packed format, and B is an N-by-NRHS matrix

Synopsis

SUBROUTINE CTPTRS(UPLO, TRANSA, DIAG, N, NRHS, A, B, LDB, INFO)

CHARACTER*1 UPLO, TRANSA, DIAG
COMPLEX A(*), B(LDB,*)
INTEGER N, NRHS, LDB, INFO

SUBROUTINE CTPTRS_64(UPLO, TRANSA, DIAG, N, NRHS, A, B, LDB, INFO)

CHARACTER*1 UPLO, TRANSA, DIAG
COMPLEX A(*), B(LDB,*)
INTEGER*8 N, NRHS, LDB, INFO




F95 INTERFACE
SUBROUTINE TPTRS(UPLO, TRANSA, DIAG, N, NRHS, A, B, LDB, INFO)

CHARACTER(LEN=1) :: UPLO, TRANSA, DIAG
COMPLEX, DIMENSION(:) :: A
COMPLEX, DIMENSION(:,:) :: B
INTEGER :: N, NRHS, LDB, INFO

SUBROUTINE TPTRS_64(UPLO, TRANSA, DIAG, N, NRHS, A, B, LDB, INFO)

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




C INTERFACE
#include <sunperf.h>

void ctptrs(char uplo, char transa, char diag, int n, int nrhs, complex
*a, complex *b, int ldb, int *info);

void ctptrs_64(char uplo, char transa, char diag, long  n,  long  nrhs,
complex *a, complex *b, long ldb, long *info);

Description

Oracle Solaris Studio Performance Library                           ctptrs(3P)



NAME
       ctptrs  - solve a triangular system of the form A*X = B, A**T*X = B, or
       A**H*X = B, where A is a triangular matrix of order N stored in  packed
       format, and B is an N-by-NRHS matrix


SYNOPSIS
       SUBROUTINE CTPTRS(UPLO, TRANSA, DIAG, N, NRHS, A, B, LDB, INFO)

       CHARACTER*1 UPLO, TRANSA, DIAG
       COMPLEX A(*), B(LDB,*)
       INTEGER N, NRHS, LDB, INFO

       SUBROUTINE CTPTRS_64(UPLO, TRANSA, DIAG, N, NRHS, A, B, LDB, INFO)

       CHARACTER*1 UPLO, TRANSA, DIAG
       COMPLEX A(*), B(LDB,*)
       INTEGER*8 N, NRHS, LDB, INFO




   F95 INTERFACE
       SUBROUTINE TPTRS(UPLO, TRANSA, DIAG, N, NRHS, A, B, LDB, INFO)

       CHARACTER(LEN=1) :: UPLO, TRANSA, DIAG
       COMPLEX, DIMENSION(:) :: A
       COMPLEX, DIMENSION(:,:) :: B
       INTEGER :: N, NRHS, LDB, INFO

       SUBROUTINE TPTRS_64(UPLO, TRANSA, DIAG, N, NRHS, A, B, LDB, INFO)

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




   C INTERFACE
       #include <sunperf.h>

       void ctptrs(char uplo, char transa, char diag, int n, int nrhs, complex
                 *a, complex *b, int ldb, int *info);

       void ctptrs_64(char uplo, char transa, char diag, long  n,  long  nrhs,
                 complex *a, complex *b, long ldb, long *info);



PURPOSE
       ctptrs solves a triangular system of the form

       A * X = B, A**T * X = B, or A**H * X = B

       where  A is a triangular matrix of order N stored in packed format, and
       B is an N-by-NRHS matrix.  A check is made to verify that A is  nonsin-
       gular.


ARGUMENTS
       UPLO (input)
                 = 'U':  A is upper triangular;
                 = 'L':  A is lower triangular.


       TRANSA (input)
                 Specifies the form of the system of equations:
                 = 'N':  A * X = B     (No transpose)
                 = 'T':  A**T * X = B  (Transpose)
                 = 'C':  A**H * X = B  (Conjugate transpose)


       DIAG (input)
                 = 'N':  A is non-unit triangular;
                 = 'U':  A is unit triangular.


       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) COMPLEX array, dimension (N*(N+1)/2)
                 The upper or lower triangular matrix A, packed columnwise  in
                 a  linear array.  The j-th column of A is stored in the array
                 A as follows: if UPLO = 'U', A(i + (j-1)*j/2)  =  A(i,j)  for
                 1<=i<=j;  if  UPLO = 'L', A(i + (j-1)*(2*n-j)/2) = A(i,j) for
                 j<=i<=n.


       B (input/output) COMPLEX array, dimension (LDB,NRHS)
                 On entry, the right hand side matrix B.  On exit, if  INFO  =
                 0, 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
                 >  0:   if  INFO = i, the i-th diagonal element of A is zero,
                 indicating that the matrix is singular and  the  solutions  X
                 have not been computed.




                                  7 Nov 2015                        ctptrs(3P)