cgbmv - vector operations y:=alpha*A*x + beta*y, or y:=alpha*A'*x + beta*y, or y:=alpha*conjg(A')*x + beta*y
SUBROUTINE CGBMV(TRANSA, M, N, KL, KU, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) CHARACTER*1 TRANSA COMPLEX ALPHA, BETA COMPLEX A(LDA,*), X(*), Y(*) INTEGER M, N, KL, KU, LDA, INCX, INCY SUBROUTINE CGBMV_64(TRANSA, M, N, KL, KU, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) CHARACTER*1 TRANSA COMPLEX ALPHA, BETA COMPLEX A(LDA,*), X(*), Y(*) INTEGER*8 M, N, KL, KU, LDA, INCX, INCY F95 INTERFACE SUBROUTINE GBMV(TRANSA, M, N, KL, KU, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) CHARACTER(LEN=1) :: TRANSA COMPLEX :: ALPHA, BETA COMPLEX, DIMENSION(:) :: X, Y COMPLEX, DIMENSION(:,:) :: A INTEGER :: M, N, KL, KU, LDA, INCX, INCY SUBROUTINE GBMV_64(TRANSA, M, N, KL, KU, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) CHARACTER(LEN=1) :: TRANSA COMPLEX :: ALPHA, BETA COMPLEX, DIMENSION(:) :: X, Y COMPLEX, DIMENSION(:,:) :: A INTEGER(8) :: M, N, KL, KU, LDA, INCX, INCY C INTERFACE #include <sunperf.h> void cgbmv(char transa, int m, int n, int kl, int ku, complex *alpha, complex *a, int lda, complex *x, int incx, complex *beta, complex *y, int incy); void cgbmv_64(char transa, long m, long n, long kl, long ku, complex *alpha, complex *a, long lda, complex *x, long incx, complex *beta, complex *y, long incy);
Oracle Solaris Studio Performance Library cgbmv(3P) NAME cgbmv - perform one of the matrix-vector operations y:=alpha*A*x + beta*y, or y:=alpha*A'*x + beta*y, or y:=alpha*conjg(A')*x + beta*y SYNOPSIS SUBROUTINE CGBMV(TRANSA, M, N, KL, KU, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) CHARACTER*1 TRANSA COMPLEX ALPHA, BETA COMPLEX A(LDA,*), X(*), Y(*) INTEGER M, N, KL, KU, LDA, INCX, INCY SUBROUTINE CGBMV_64(TRANSA, M, N, KL, KU, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) CHARACTER*1 TRANSA COMPLEX ALPHA, BETA COMPLEX A(LDA,*), X(*), Y(*) INTEGER*8 M, N, KL, KU, LDA, INCX, INCY F95 INTERFACE SUBROUTINE GBMV(TRANSA, M, N, KL, KU, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) CHARACTER(LEN=1) :: TRANSA COMPLEX :: ALPHA, BETA COMPLEX, DIMENSION(:) :: X, Y COMPLEX, DIMENSION(:,:) :: A INTEGER :: M, N, KL, KU, LDA, INCX, INCY SUBROUTINE GBMV_64(TRANSA, M, N, KL, KU, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) CHARACTER(LEN=1) :: TRANSA COMPLEX :: ALPHA, BETA COMPLEX, DIMENSION(:) :: X, Y COMPLEX, DIMENSION(:,:) :: A INTEGER(8) :: M, N, KL, KU, LDA, INCX, INCY C INTERFACE #include <sunperf.h> void cgbmv(char transa, int m, int n, int kl, int ku, complex *alpha, complex *a, int lda, complex *x, int incx, complex *beta, complex *y, int incy); void cgbmv_64(char transa, long m, long n, long kl, long ku, complex *alpha, complex *a, long lda, complex *x, long incx, complex *beta, complex *y, long incy); PURPOSE cgbmv performs one of the matrix-vector operations y := alpha*A*x + beta*y, or y := alpha*A'*x + beta*y, or y := alpha*conjg( 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*conjg( A' )*x + beta*y. Unchanged on exit. M (input) On entry, M specifies the number of rows of the matrix A. M must be at least zero. Unchanged on exit. N (input) On entry, N specifies the number of columns of the matrix A. N must be at least zero. Unchanged on exit. KL (input) On entry, KL specifies the number of sub-diagonals of the matrix A. KL must satisfy 0 .le. KL. Unchanged on exit. KU (input) On entry, KU specifies the number of super-diagonals of the matrix A. KU must satisfy 0 .le. KU. 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 must be at least ( 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 must not be zero. 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 must not be zero. Unchanged on exit. 7 Nov 2015 cgbmv(3P)