cla_gbamv - vector operation to calculate error bounds
SUBROUTINE CLA_GBAMV(TRANS, M, N, KL, KU, ALPHA, AB, LDAB, X, INCX, BETA, Y, INCY) REAL ALPHA, BETA INTEGER INCX, INCY, LDAB, M, N, KL, KU, TRANS COMPLEX AB(LDAB,*), X(*) REAL Y(*) SUBROUTINE CLA_GBAMV_64(TRANS, M, N, KL, KU, ALPHA, AB, LDAB, X, INCX, BETA, Y, INCY) REAL ALPHA, BETA INTEGER*8 INCX, INCY, LDAB, M, N, KL, KU, TRANS COMPLEX AB(LDAB,*), X(*) REAL Y(*) F95 INTERFACE SUBROUTINE LA_GBAMV(TRANS, M, N, KL, KU, ALPHA, AB, LDAB, X, INCX, BETA, Y, INCY) INTEGER :: TRANS, M, N, KL, KU, LDAB, INCX, INCY REAL, DIMENSION(:) :: Y COMPLEX, DIMENSION(:) :: X COMPLEX, DIMENSION(:,:) :: AB REAL :: ALPHA, BETA SUBROUTINE LA_GBAMV_64(TRANS, M, N, KL, KU, ALPHA, AB, LDAB, X, INCX, BETA, Y, INCY) INTEGER(8) :: TRANS, M, N, KL, KU, LDAB, INCX, INCY REAL, DIMENSION(:) :: Y COMPLEX, DIMENSION(:) :: X COMPLEX, DIMENSION(:,:) :: AB REAL :: ALPHA, BETA C INTERFACE #include <sunperf.h> void cla_gbamv (int trans, int m, int n, int kl, int ku, float alpha, floatcomplex *ab, int ldab, floatcomplex *x, int incx, float beta, float *y, int incy); void cla_gbamv_64 (long trans, long m, long n, long kl, long ku, float alpha, floatcomplex *ab, long ldab, floatcomplex *x, long incx, float beta, float *y, long incy);
Oracle Solaris Studio Performance Library cla_gbamv(3P) NAME cla_gbamv - perform a matrix-vector operation to calculate error bounds SYNOPSIS SUBROUTINE CLA_GBAMV(TRANS, M, N, KL, KU, ALPHA, AB, LDAB, X, INCX, BETA, Y, INCY) REAL ALPHA, BETA INTEGER INCX, INCY, LDAB, M, N, KL, KU, TRANS COMPLEX AB(LDAB,*), X(*) REAL Y(*) SUBROUTINE CLA_GBAMV_64(TRANS, M, N, KL, KU, ALPHA, AB, LDAB, X, INCX, BETA, Y, INCY) REAL ALPHA, BETA INTEGER*8 INCX, INCY, LDAB, M, N, KL, KU, TRANS COMPLEX AB(LDAB,*), X(*) REAL Y(*) F95 INTERFACE SUBROUTINE LA_GBAMV(TRANS, M, N, KL, KU, ALPHA, AB, LDAB, X, INCX, BETA, Y, INCY) INTEGER :: TRANS, M, N, KL, KU, LDAB, INCX, INCY REAL, DIMENSION(:) :: Y COMPLEX, DIMENSION(:) :: X COMPLEX, DIMENSION(:,:) :: AB REAL :: ALPHA, BETA SUBROUTINE LA_GBAMV_64(TRANS, M, N, KL, KU, ALPHA, AB, LDAB, X, INCX, BETA, Y, INCY) INTEGER(8) :: TRANS, M, N, KL, KU, LDAB, INCX, INCY REAL, DIMENSION(:) :: Y COMPLEX, DIMENSION(:) :: X COMPLEX, DIMENSION(:,:) :: AB REAL :: ALPHA, BETA C INTERFACE #include <sunperf.h> void cla_gbamv (int trans, int m, int n, int kl, int ku, float alpha, floatcomplex *ab, int ldab, floatcomplex *x, int incx, float beta, float *y, int incy); void cla_gbamv_64 (long trans, long m, long n, long kl, long ku, float alpha, floatcomplex *ab, long ldab, floatcomplex *x, long incx, float beta, float *y, long incy); PURPOSE cla_gbamv performs one of the matrix-vector operations y := alpha*abs(A)*abs(x) + beta*abs(y), or y := alpha*abs(A)**T*abs(x) + beta*abs(y), where alpha and beta are scalars, x and y are vectors and A is an m by n matrix. This function is primarily used in calculating error bounds. To pro- tect against underflow during evaluation, components in the resulting vector are perturbed away from zero by (N+1) times the underflow threshold. To prevent unnecessarily large errors for block-structure embedded in general matrices, "symbolically" zero components are not perturbed. A zero entry is considered "symbolic" if all multiplications involved in computing that entry have at least one zero multiplicand. ARGUMENTS TRANS (input) TRANS is INTEGER On entry, TRANS specifies the operation to be performed as follows: BLAS_NO_TRANS y:=alpha*abs(A)*abs(x)+beta*abs(y) BLAS_TRANS y:=alpha*abs(A**T)*abs(x)+beta*abs(y) BLAS_CONJ_TRANS y:=alpha*abs(A**T)*abs(x)+beta*abs(y) Unchanged on exit. M (input) M is INTEGER On entry, M specifies the number of rows of the matrix A. M must be at least zero. Unchanged on exit. N (input) N is INTEGER On entry, N specifies the number of columns of the matrix A. N must be at least zero. Unchanged on exit. KL (input) KL is INTEGER The number of subdiagonals within the band of A. KL >= 0. KU (input) KU is INTEGER The number of superdiagonals within the band of A. KU >= 0. ALPHA (input) ALPHA is REAL On entry, ALPHA specifies the scalar alpha. Unchanged on exit. AB (input) AB is COMPLEX array, dimension (LDAB,n) Before entry, the leading m by n part of the array AB must contain the matrix of coefficients. Unchanged on exit. LDAB (input) LDAB is INTEGER On entry, LDAB specifies the first dimension of AB as declared in the calling (sub) program. LDAB must be at least max( 1, m ). Unchanged on exit. X (input) X is COMPLEX array, dimension ( 1 + (n - 1)*abs(INCX)) when TRANS = '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) INCX is INTEGER On entry, INCX specifies the increment for the elements of X. INCX must not be zero. Unchanged on exit. BETA (input) BETA is REAL 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) Y is REAL array, dimension ( 1 + (m - 1)*abs(INCY)) when TRANS = 'N' or 'n' and at least ( 1 + (n - 1)*abs(INCY)) otherwise. Before entry with BETA non-zero, the incremented array Y must contain the vector y. On exit, Y is overwritten by the updated vector y. INCY (input) INCY is INTEGER On entry, INCY specifies the increment for the elements of Y. INCY must not be zero. Unchanged on exit. Level 2 Blas routine. 7 Nov 2015 cla_gbamv(3P)