
cla_gbamv.f(3) LAPACK cla_gbamv.f(3)
NAME
cla_gbamv.f 
SYNOPSIS
Functions/Subroutines
subroutine cla_gbamv (TRANS, M, N, KL, KU, ALPHA, AB, LDAB, X, INCX, BETA, Y, INCY)
CLA_GBAMV performs a matrixvector operation to calculate error bounds.
Function/Subroutine Documentation
subroutine cla_gbamv (integerTRANS, integerM, integerN, integerKL, integerKU, realALPHA,
complex, dimension( ldab, * )AB, integerLDAB, complex, dimension( * )X, integerINCX,
realBETA, real, dimension( * )Y, integerINCY)
CLA_GBAMV performs a matrixvector operation to calculate error bounds.
Purpose:
CLA_GBAMV performs one of the matrixvector 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 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 blockstructure 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.
Parameters:
TRANS
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
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
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
KL is INTEGER
The number of subdiagonals within the band of A. KL >= 0.
KU
KU is INTEGER
The number of superdiagonals within the band of A. KU >= 0.
ALPHA
ALPHA is REAL
On entry, ALPHA specifies the scalar alpha.
Unchanged on exit.
AB
AB is REAL 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
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
X is REAL 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
INCX is INTEGER
On entry, INCX specifies the increment for the elements of
X. INCX must not be zero.
Unchanged on exit.
BETA
BETA is REAL
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
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 nonzero, the incremented array Y
must contain the vector y. On exit, Y is overwritten by the
updated vector y.
INCY
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.
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
September 2012
Definition at line 186 of file cla_gbamv.f.
Author
Generated automatically by Doxygen for LAPACK from the source code.
Version 3.4.2 Tue Sep 25 2012 cla_gbamv.f(3) 
