zla_heamv - nite matrix to calculate error bounds
SUBROUTINE ZLA_HEAMV(UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) DOUBLE PRECISION ALPHA, BETA INTEGER INCX, INCY, LDA, N INTEGER UPLO DOUBLE COMPLEX A(LDA,*), X(*) DOUBLE PRECISION Y(*) SUBROUTINE ZLA_HEAMV_64(UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) DOUBLE PRECISION ALPHA, BETA INTEGER*8 INCX, INCY, LDA, N INTEGER*8 UPLO DOUBLE COMPLEX A(LDA,*), X(*) DOUBLE PRECISION Y(*) F95 INTERFACE SUBROUTINE LA_HEAMV(UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) INTEGER :: UPLO, N, LDA, INCX, INCY REAL(8), DIMENSION(:) :: Y COMPLEX(8), DIMENSION(:,:) :: A COMPLEX(8), DIMENSION(:) :: X REAL(8) :: ALPHA, BETA SUBROUTINE LA_HEAMV_64(UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) INTEGER(8) :: UPLO, N, LDA, INCX, INCY REAL(8), DIMENSION(:) :: Y COMPLEX(8), DIMENSION(:,:) :: A COMPLEX(8), DIMENSION(:) :: X REAL(8) :: ALPHA, BETA C INTERFACE #include <sunperf.h> void zla_heamv (int uplo, int n, double alpha, doublecomplex *a, int lda, doublecomplex *x, int incx, double beta, double *y, int incy); void zla_heamv_64 (long uplo, long n, double alpha, doublecomplex *a, long lda, doublecomplex *x, long incx, double beta, double *y, long incy);
Oracle Solaris Studio Performance Library zla_heamv(3P)
NAME
zla_heamv - compute a matrix-vector product using a Hermitian indefi-
nite matrix to calculate error bounds
SYNOPSIS
SUBROUTINE ZLA_HEAMV(UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
DOUBLE PRECISION ALPHA, BETA
INTEGER INCX, INCY, LDA, N
INTEGER UPLO
DOUBLE COMPLEX A(LDA,*), X(*)
DOUBLE PRECISION Y(*)
SUBROUTINE ZLA_HEAMV_64(UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
DOUBLE PRECISION ALPHA, BETA
INTEGER*8 INCX, INCY, LDA, N
INTEGER*8 UPLO
DOUBLE COMPLEX A(LDA,*), X(*)
DOUBLE PRECISION Y(*)
F95 INTERFACE
SUBROUTINE LA_HEAMV(UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
INTEGER :: UPLO, N, LDA, INCX, INCY
REAL(8), DIMENSION(:) :: Y
COMPLEX(8), DIMENSION(:,:) :: A
COMPLEX(8), DIMENSION(:) :: X
REAL(8) :: ALPHA, BETA
SUBROUTINE LA_HEAMV_64(UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
INTEGER(8) :: UPLO, N, LDA, INCX, INCY
REAL(8), DIMENSION(:) :: Y
COMPLEX(8), DIMENSION(:,:) :: A
COMPLEX(8), DIMENSION(:) :: X
REAL(8) :: ALPHA, BETA
C INTERFACE
#include <sunperf.h>
void zla_heamv (int uplo, int n, double alpha, doublecomplex *a, int
lda, doublecomplex *x, int incx, double beta, double *y, int
incy);
void zla_heamv_64 (long uplo, long n, double alpha, doublecomplex *a,
long lda, doublecomplex *x, long incx, double beta, double
*y, long incy);
PURPOSE
zla_heamv performs the matrix-vector operation
y := alpha*abs(A)*abs(x) + beta*abs(y),
where alpha and beta are scalars, x and y are vectors and A is an n by
n Hermitian 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 multiplica-
tions involved in computing that entry have at least one zero multipli-
cand.
ARGUMENTS
UPLO (input)
UPLO is INTEGER
On entry, UPLO specifies whether the upper or lower triangu-
lar part of the array A is to be referenced as follows:
UPLO = BLAS_UPPER Only the upper triangular part of A is to
be referenced.
UPLO = BLAS_LOWER Only the lower triangular part of A is to
be referenced.
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.
ALPHA (input)
ALPHA is DOUBLE PRECISION
On entry, ALPHA specifies the scalar alpha.
Unchanged on exit.
A (input)
A is COMPLEX*16 array, DIMENSION ( LDA, n )
Before entry, the leading m by n part of the array A must
contain the matrix of coefficients.
Unchanged on exit.
LDA (input)
LDA is INTEGER
On entry, LDA specifies the first dimension of A as declared
in the calling (sub) program. LDA must be at least max( 1, n
).
Unchanged on exit.
X (input)
X is COMPLEX*16 array, DIMENSION at least
( 1 + ( n - 1 )*abs( INCX ) )
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 DOUBLE PRECISION
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 DOUBLE PRECISION array, dimension
( 1 + ( n - 1 )*abs( INCY ) )
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.
7 Nov 2015 zla_heamv(3P)