sgbmv - vector operations y := alpha*A*x + beta*y or y := alpha*A'*x + beta*y
SUBROUTINE SGBMV(TRANSA, M, N, KL, KU, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) CHARACTER*1 TRANSA INTEGER M, N, KL, KU, LDA, INCX, INCY REAL ALPHA, BETA REAL A(LDA,*), X(*), Y(*) SUBROUTINE SGBMV_64(TRANSA, M, N, KL, KU, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) CHARACTER*1 TRANSA INTEGER*8 M, N, KL, KU, LDA, INCX, INCY REAL ALPHA, BETA REAL A(LDA,*), X(*), Y(*) F95 INTERFACE SUBROUTINE GBMV(TRANSA, M, N, KL, KU, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) CHARACTER(LEN=1) :: TRANSA INTEGER :: M, N, KL, KU, LDA, INCX, INCY REAL :: ALPHA, BETA REAL, DIMENSION(:) :: X, Y REAL, DIMENSION(:,:) :: A SUBROUTINE GBMV_64(TRANSA, M, N, KL, KU, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) CHARACTER(LEN=1) :: TRANSA INTEGER(8) :: M, N, KL, KU, LDA, INCX, INCY REAL :: ALPHA, BETA REAL, DIMENSION(:) :: X, Y REAL, DIMENSION(:,:) :: A C INTERFACE #include <sunperf.h> void sgbmv(char transa, int m, int n, int kl, int ku, float alpha, float *a, int lda, float *x, int incx, float beta, float *y, int incy); void sgbmv_64(char transa, long m, long n, long kl, long ku, float alpha, float *a, long lda, float *x, long incx, float beta, float *y, long incy);
Oracle Solaris Studio Performance Library sgbmv(3P) NAME sgbmv - perform one of the matrix-vector operations y := alpha*A*x + beta*y or y := alpha*A'*x + beta*y SYNOPSIS SUBROUTINE SGBMV(TRANSA, M, N, KL, KU, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) CHARACTER*1 TRANSA INTEGER M, N, KL, KU, LDA, INCX, INCY REAL ALPHA, BETA REAL A(LDA,*), X(*), Y(*) SUBROUTINE SGBMV_64(TRANSA, M, N, KL, KU, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) CHARACTER*1 TRANSA INTEGER*8 M, N, KL, KU, LDA, INCX, INCY REAL ALPHA, BETA REAL A(LDA,*), X(*), Y(*) F95 INTERFACE SUBROUTINE GBMV(TRANSA, M, N, KL, KU, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) CHARACTER(LEN=1) :: TRANSA INTEGER :: M, N, KL, KU, LDA, INCX, INCY REAL :: ALPHA, BETA REAL, DIMENSION(:) :: X, Y REAL, DIMENSION(:,:) :: A SUBROUTINE GBMV_64(TRANSA, M, N, KL, KU, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) CHARACTER(LEN=1) :: TRANSA INTEGER(8) :: M, N, KL, KU, LDA, INCX, INCY REAL :: ALPHA, BETA REAL, DIMENSION(:) :: X, Y REAL, DIMENSION(:,:) :: A C INTERFACE #include <sunperf.h> void sgbmv(char transa, int m, int n, int kl, int ku, float alpha, float *a, int lda, float *x, int incx, float beta, float *y, int incy); void sgbmv_64(char transa, long m, long n, long kl, long ku, float alpha, float *a, long lda, float *x, long incx, float beta, float *y, long incy); PURPOSE sgbmv performs one of the matrix-vector operations y := alpha*A*x + beta*y or y := alpha*A'*x + beta*y, where alpha and beta are scalars, x and y are vectors and A is an m by n band matrix, with kl sub-diagonals and ku super-diagonals. ARGUMENTS TRANSA (input) On entry, TRANSA specifies the operation to be performed as follows: TRANSA = 'N' or 'n' y := alpha*A*x + beta*y. TRANSA = 'T' or 't' y := alpha*A'*x + beta*y. TRANSA = 'C' or 'c' y := alpha*A'*x + beta*y. Unchanged on exit. M (input) On entry, M specifies the number of rows of the matrix A. M >= 0. Unchanged on exit. N (input) On entry, N specifies the number of columns of the matrix A. N >= 0. Unchanged on exit. KL (input) On entry, KL specifies the number of sub-diagonals of the matrix A. KL >= 0. Unchanged on exit. KU (input) On entry, KU specifies the number of super-diagonals of the matrix A. KU >= 0. Unchanged on exit. ALPHA (input) On entry, ALPHA specifies the scalar alpha. Unchanged on exit. A (input) Before entry, the leading ( kl + ku + 1 ) by n part of the array A must contain the matrix of coefficients, supplied column by column, with the leading diagonal of the matrix in row ( ku + 1 ) of the array, the first super-diagonal start- ing at position 2 in row ku, the first sub-diagonal starting at position 1 in row ( ku + 2 ), and so on. Elements in the array A that do not correspond to elements in the band matrix (such as the top left ku by ku triangle) are not referenced. The following program segment will transfer a band matrix from conventional full matrix storage to band storage: DO 20, J = 1, N K = KU + 1 - J DO 10, I = MAX( 1, J - KU ), MIN( M, J + KL ) A( K + I, J ) = matrix( I, J ) 10 CONTINUE 20 CONTINUE Unchanged on exit. LDA (input) On entry, LDA specifies the first dimension of A as declared in the calling (sub) program. LDA >= ( kl + ku + 1 ). Unchanged on exit. X (input) ( 1 + ( n - 1 )*abs( INCX ) ) when TRANSA = 'N' or 'n' and at least ( 1 + ( m - 1 )*abs( INCX ) ) otherwise. Before entry, the incremented array X must contain the vector x. Unchanged on exit. INCX (input) On entry, INCX specifies the increment for the elements of X. INCX <> 0. Unchanged on exit. BETA (input) On entry, BETA specifies the scalar beta. When BETA is sup- plied as zero then Y need not be set on input. Unchanged on exit. Y (input/output) ( 1 + ( m - 1 )*abs( INCY ) ) when TRANSA = 'N' or 'n' and at least ( 1 + ( n - 1 )*abs( INCY ) ) otherwise. Before entry, the incremented array Y must contain the vector y. On exit, Y is overwritten by the updated vector y. INCY (input) On entry, INCY specifies the increment for the elements of Y. INCY <> 0. Unchanged on exit. 7 Nov 2015 sgbmv(3P)