ZLA_HEAMV
Purpose
ZLA_SYAMV 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 symmetric matrix.
This function is primarily used in calculating error bounds.
To protect 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.
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 symmetric matrix.
This function is primarily used in calculating error bounds.
To protect 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
| UPLO |
(input) INTEGER
On entry, UPLO specifies whether the upper or lower
triangular 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) INTEGER
On entry, N specifies the number of columns of the matrix A.
N must be at least zero. Unchanged on exit. |
| ALPHA |
DOUBLE PRECISION .
On entry, ALPHA specifies the scalar alpha.
Unchanged on exit. |
| A |
COMPLEX*16 array of 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) 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 |
COMPLEX*16 array of DIMENSION at least
( 1 + ( n - 1 )*abs( INCX ) )
Before entry, the incremented array X must contain the vector x. Unchanged on exit. |
| INCX |
(input) INTEGER
On entry, INCX specifies the increment for the elements of
X. INCX must not be zero. Unchanged on exit. |
| BETA |
DOUBLE PRECISION .
On entry, BETA specifies the scalar beta. When BETA is
supplied as zero then Y need not be set on input. Unchanged on exit. |
| Y |
(input/output) 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) INTEGER
On entry, INCY specifies the increment for the elements of
Y. INCY must not be zero. Unchanged on exit. |
Further Details
Level 2 Blas routine.
Jack Dongarra, Argonne National Lab.
Jeremy Du Croz, Nag Central Office.
Sven Hammarling, Nag Central Office.
Richard Hanson, Sandia National Labs.
Jason Riedy, UC Berkeley
Jack Dongarra, Argonne National Lab.
Jeremy Du Croz, Nag Central Office.
Sven Hammarling, Nag Central Office.
Richard Hanson, Sandia National Labs.
Jason Riedy, UC Berkeley