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| cla_lin_berr.f(3) | LAPACK | cla_lin_berr.f(3) |
NAME¶
cla_lin_berr.f -SYNOPSIS¶
Functions/Subroutines¶
subroutine cla_lin_berr (N, NZ, NRHS, RES, AYB, BERR)
Function/Subroutine Documentation¶
subroutine cla_lin_berr (integerN, integerNZ, integerNRHS, complex, dimension( n, nrhs )RES, real, dimension( n, nrhs )AYB, real, dimension( nrhs )BERR)¶
CLA_LIN_BERR Purpose: CLA_LIN_BERR computes componentwise relative backward error from
the formula
max(i) ( abs(R(i)) / ( abs(op(A_s))*abs(Y) + abs(B_s) )(i) )
where abs(Z) is the componentwise absolute value of the matrix
or vector Z.
N
NZ
NRHS
RES
AYB
BERR
Author:
N is INTEGER
The number of linear equations, i.e., the order of the
matrix A. N >= 0.
NZ is INTEGER
We add (NZ+1)*SLAMCH( 'Safe minimum' ) to R(i) in the numerator to
guard against spuriously zero residuals. Default value is N.
NRHS is INTEGER
The number of right hand sides, i.e., the number of columns
of the matrices AYB, RES, and BERR. NRHS >= 0.
RES is DOUBLE PRECISION array, dimension (N,NRHS)
The residual matrix, i.e., the matrix R in the relative backward
error formula above.
AYB is DOUBLE PRECISION array, dimension (N, NRHS)
The denominator in the relative backward error formula above, i.e.,
the matrix abs(op(A_s))*abs(Y) + abs(B_s). The matrices A, Y, and B
are from iterative refinement (see cla_gerfsx_extended.f).
BERR is COMPLEX array, dimension (NRHS)
The componentwise relative backward error from the formula above.
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
November 2011
Author¶
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