ztrtrs - 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, and B is an N- by-NRHS matrix
SUBROUTINE ZTRTRS(UPLO, TRANSA, DIAG, N, NRHS, A, LDA, B, LDB, INFO) CHARACTER*1 UPLO, TRANSA, DIAG DOUBLE COMPLEX A(LDA,*), B(LDB,*) INTEGER N, NRHS, LDA, LDB, INFO SUBROUTINE ZTRTRS_64(UPLO, TRANSA, DIAG, N, NRHS, A, LDA, B, LDB, INFO) CHARACTER*1 UPLO, TRANSA, DIAG DOUBLE COMPLEX A(LDA,*), B(LDB,*) INTEGER*8 N, NRHS, LDA, LDB, INFO F95 INTERFACE SUBROUTINE TRTRS(UPLO, TRANSA, DIAG, N, NRHS, A, LDA, B, LDB, INFO) CHARACTER(LEN=1) :: UPLO, TRANSA, DIAG COMPLEX(8), DIMENSION(:,:) :: A, B INTEGER :: N, NRHS, LDA, LDB, INFO SUBROUTINE TRTRS_64(UPLO, TRANSA, DIAG, N, NRHS, A, LDA, B, LDB, INFO) CHARACTER(LEN=1) :: UPLO, TRANSA, DIAG COMPLEX(8), DIMENSION(:,:) :: A, B INTEGER(8) :: N, NRHS, LDA, LDB, INFO C INTERFACE #include <sunperf.h> void ztrtrs(char uplo, char transa, char diag, int n, int nrhs, double- complex *a, int lda, doublecomplex *b, int ldb, int *info); void ztrtrs_64(char uplo, char transa, char diag, long n, long nrhs, doublecomplex *a, long lda, doublecomplex *b, long ldb, long *info);
Oracle Solaris Studio Performance Library ztrtrs(3P) NAME ztrtrs - 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, and B is an N- by-NRHS matrix SYNOPSIS SUBROUTINE ZTRTRS(UPLO, TRANSA, DIAG, N, NRHS, A, LDA, B, LDB, INFO) CHARACTER*1 UPLO, TRANSA, DIAG DOUBLE COMPLEX A(LDA,*), B(LDB,*) INTEGER N, NRHS, LDA, LDB, INFO SUBROUTINE ZTRTRS_64(UPLO, TRANSA, DIAG, N, NRHS, A, LDA, B, LDB, INFO) CHARACTER*1 UPLO, TRANSA, DIAG DOUBLE COMPLEX A(LDA,*), B(LDB,*) INTEGER*8 N, NRHS, LDA, LDB, INFO F95 INTERFACE SUBROUTINE TRTRS(UPLO, TRANSA, DIAG, N, NRHS, A, LDA, B, LDB, INFO) CHARACTER(LEN=1) :: UPLO, TRANSA, DIAG COMPLEX(8), DIMENSION(:,:) :: A, B INTEGER :: N, NRHS, LDA, LDB, INFO SUBROUTINE TRTRS_64(UPLO, TRANSA, DIAG, N, NRHS, A, LDA, B, LDB, INFO) CHARACTER(LEN=1) :: UPLO, TRANSA, DIAG COMPLEX(8), DIMENSION(:,:) :: A, B INTEGER(8) :: N, NRHS, LDA, LDB, INFO C INTERFACE #include <sunperf.h> void ztrtrs(char uplo, char transa, char diag, int n, int nrhs, double- complex *a, int lda, doublecomplex *b, int ldb, int *info); void ztrtrs_64(char uplo, char transa, char diag, long n, long nrhs, doublecomplex *a, long lda, doublecomplex *b, long ldb, long *info); PURPOSE ztrtrs 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, and B is an N-by-NRHS matrix. A check is made to verify that A is nonsingular. 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) The triangular matrix A. If UPLO = 'U', the leading N-by-N upper triangular part of the array A contains the upper tri- angular matrix, and the strictly lower triangular part of A is not referenced. If UPLO = 'L', the leading N-by-N lower triangular part of the array A contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If DIAG = 'U', the diagonal elements of A are also not referenced and are assumed to be 1. LDA (input) The leading dimension of the array A. LDA >= max(1,N). B (input/output) 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 ztrtrs(3P)