stbtrs - solve a triangular system of the form A*X = B or A**T*X = B, where A is a triangular band matrix of order N, and B is an N-by-NRHS matrix
SUBROUTINE STBTRS(UPLO, TRANSA, DIAG, N, KD, NRHS, A, LDA, B, LDB, INFO) CHARACTER*1 UPLO, TRANSA, DIAG INTEGER N, KD, NRHS, LDA, LDB, INFO REAL A(LDA,*), B(LDB,*) SUBROUTINE STBTRS_64(UPLO, TRANSA, DIAG, N, KD, NRHS, A, LDA, B, LDB, INFO) CHARACTER*1 UPLO, TRANSA, DIAG INTEGER*8 N, KD, NRHS, LDA, LDB, INFO REAL A(LDA,*), B(LDB,*) F95 INTERFACE SUBROUTINE TBTRS(UPLO, TRANSA, DIAG, N, KD, NRHS, A, LDA, B, LDB, INFO) CHARACTER(LEN=1) :: UPLO, TRANSA, DIAG INTEGER :: N, KD, NRHS, LDA, LDB, INFO REAL, DIMENSION(:,:) :: A, B SUBROUTINE TBTRS_64(UPLO, TRANSA, DIAG, N, KD, NRHS, A, LDA, B, LDB, INFO) CHARACTER(LEN=1) :: UPLO, TRANSA, DIAG INTEGER(8) :: N, KD, NRHS, LDA, LDB, INFO REAL, DIMENSION(:,:) :: A, B C INTERFACE #include <sunperf.h> void stbtrs(char uplo, char transa, char diag, int n, int kd, int nrhs, float *a, int lda, float *b, int ldb, int *info); void stbtrs_64(char uplo, char transa, char diag, long n, long kd, long nrhs, float *a, long lda, float *b, long ldb, long *info);
Oracle Solaris Studio Performance Library stbtrs(3P) NAME stbtrs - solve a triangular system of the form A*X = B or A**T*X = B, where A is a triangular band matrix of order N, and B is an N-by-NRHS matrix SYNOPSIS SUBROUTINE STBTRS(UPLO, TRANSA, DIAG, N, KD, NRHS, A, LDA, B, LDB, INFO) CHARACTER*1 UPLO, TRANSA, DIAG INTEGER N, KD, NRHS, LDA, LDB, INFO REAL A(LDA,*), B(LDB,*) SUBROUTINE STBTRS_64(UPLO, TRANSA, DIAG, N, KD, NRHS, A, LDA, B, LDB, INFO) CHARACTER*1 UPLO, TRANSA, DIAG INTEGER*8 N, KD, NRHS, LDA, LDB, INFO REAL A(LDA,*), B(LDB,*) F95 INTERFACE SUBROUTINE TBTRS(UPLO, TRANSA, DIAG, N, KD, NRHS, A, LDA, B, LDB, INFO) CHARACTER(LEN=1) :: UPLO, TRANSA, DIAG INTEGER :: N, KD, NRHS, LDA, LDB, INFO REAL, DIMENSION(:,:) :: A, B SUBROUTINE TBTRS_64(UPLO, TRANSA, DIAG, N, KD, NRHS, A, LDA, B, LDB, INFO) CHARACTER(LEN=1) :: UPLO, TRANSA, DIAG INTEGER(8) :: N, KD, NRHS, LDA, LDB, INFO REAL, DIMENSION(:,:) :: A, B C INTERFACE #include <sunperf.h> void stbtrs(char uplo, char transa, char diag, int n, int kd, int nrhs, float *a, int lda, float *b, int ldb, int *info); void stbtrs_64(char uplo, char transa, char diag, long n, long kd, long nrhs, float *a, long lda, float *b, long ldb, long *info); PURPOSE stbtrs solves a triangular system of the form A * X = B or A**T * X = B where A is a triangular band 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 the system of equations: = 'N': A * X = B (No transpose) = 'T': A**T * X = B (Transpose) = 'C': A**H * X = B (Conjugate transpose = Transpose) DIAG (input) = 'N': A is non-unit triangular; = 'U': A is unit triangular. N (input) The order of the matrix A. N >= 0. KD (input) The number of superdiagonals or subdiagonals of the triangu- lar band matrix A. KD >= 0. NRHS (input) The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0. A (input) The upper or lower triangular band matrix A, stored in the first kd+1 rows of A. The j-th column of A is stored in the j-th column of the array A as follows: if UPLO = 'U', A(kd+1+i-j,j) = A(i,j) for max(1,j-kd)<=i<=j; if UPLO = 'L', A(1+i-j,j) = A(i,j) for j<=i<=min(n,j+kd). If DIAG = 'U', the diagonal elements of A are not referenced and are assumed to be 1. LDA (input) The leading dimension of the array A. LDA >= KD+1. 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 stbtrs(3P)