tbsv_i(3PI) Sun Interval Performance Library tbsv_i(3PI)NAMEtbsv_i - Interval triangular solve with a vector.
DESCRIPTION
The routine TBSV_I bounds one of the systems of equations
X = ALPHA * A_inverse * X or X = ALPHA * A_transposed * X
where X is an interval vector and the matrix A is upper or lower trian‐
gular band interval matrix. The routine returns immediately if N is
equal to zero or K is less than zero.
SYNOPSIS
SUBROUTINE TBSV_I( A, X [, UPLO] [, TRANSA] [, DIAG] [, ALPHA] )
INTERVAL, INTENT(IN) :: A(:,:)
INTERVAL, INTENT(INOUT) :: X(:)
TYPE(blas_uplo_type), INTENT(IN), OPTIONAL :: UPLO
TYPE(blas_trans_type), INTENT(IN), OPTIONAL :: TRANSA
TYPE(blas_diag_type), INTENT(IN), OPTIONAL :: DIAG
INTERVAL, INTENT(IN), OPTIONAL :: ALPHA
where
X has shape (N),
A has shape (K+1,N) where K = band width.
ARGUMENTS
A (input)
Array of DIMENSION (K+1,N).
Unchanged on exit.
X (input/output)
On entry, array of DIMENSION N.
On exit, if TRANSA = blas_no_trans:
X = ALPHA * A_inverse * X
If TRANSA /= blas_no_trans:
X = ALPHA * A_transposed * X
UPLO(input)
Scalar element.
Specifies if the matrix operand is an upper or
lower tringular part of the matrix.
Possible values:
UPLO = blas_upper (default)
UPLO = blas_lower
Unchanged on exit.
TRANSA (input)
Scalar element.
Specifies the matrix A transpose.
Possible values:
TRANSA = blas_no_trans (default)
TRANSA = blas_trans
Unchanged on exit.
DIAG (input)
Scalar element.
Specifies whether or not the matrix operand
has unit diagonal entries.
Possible values:
DIAG = blas_non_unit_diag (default)
DIAG = blas_unit_diag
Unchanged on exit.
ALPHA (input)
On entry, ALPHA specifies the scalar ALPHA.
Default value is ALPHA = [1,1].
Unchanged on exit.
ERRORS
blas_error_alloc
A or X is unallocated array
blas_error_shape
A or X has unappropriate shape
6 Mar 2009 tbsv_i(3PI)
