sbmv_i(3PI) Sun Interval Performance Library sbmv_i(3PI)NAMEsbmv_i - Interval symmetric matrix vector product.
DESCRIPTION
Y = ALPHA * A_TRANSPOSED * X + BETA * Y
The routine SBMV_I multiplies an interval vectors X by a symmetric
band interval matrix A (transposed), scales the resulting interval vec‐
tor and adds it to the scaled interval vector operand Y. The routine
returns immediately if N is equal to zero or K is less than zero.
SYNOPSIS
SUBROUTINE SBMV_I( A, X, Y [, UPLO] [, ALPHA] [, BETA] )
INTERVAL, INTENT(IN) :: A(:,:), X(:)
INTERVAL, INTENT(INOUT) :: Y(:)
TYPE(blas_uplo_type), INTENT(IN), OPTIONAL :: UPLO
INTERVAL, INTENT(IN), OPTIONAL :: ALPHA, BETA
where
X and Y have shape (N).
A has shape (K+1,N), where K = band width.
ARGUMENTS
A (input)
Array of DIMENSION (K+1,N), where K = band width.
Unchanged on exit.
X (input)
Array of DIMENSION N.
Unchanged on exit.
Y (input/output)
On entry, array of DIMENSION N.
On exit, Y = ALPHA * A_TRANSPOSED * X + BETA * Y
UPLO(input)
Scalar element.
Specifies if the matrix operand is an upper or
lower tringular part of the symmetric matrix.
Possible values:
UPLO = blas_upper (default)
UPLO = blas_lower
Unchanged on exit.
ALPHA (input)
On entry, ALPHA specifies the scalar ALPHA.
Default value is ALPHA = [1,1].
Unchanged on exit.
BETA (input)
On entry, BETA specifies the scalar BETA.
Default value is BETA = [0,0].
Unchanged on exit.
ERRORS
blas_error_alloc
A, X or Y is unallocated array
blas_error_shape
A, X or Y has unappropriate shape
6 Mar 2009 sbmv_i(3PI)
