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LAPACK-3

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LAPACK-3: ZLA_LIN_BERR compute componentwise relative backward error from the formula max(i) ( abs(R(i)) / ( abs(op(A_s))*abs(Y)

NAME

LAPACK-3 - ZLA_LIN_BERR compute 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

SYNOPSIS

SUBROUTINE ZLA_LIN_BERR ( N, NZ, NRHS, RES, AYB, BERR ) IMPLICIT NONE INTEGER N, NZ, NRHS DOUBLE PRECISION AYB( N, NRHS ), BERR( NRHS ) COMPLEX*16 RES( N, NRHS )

PURPOSE

ZLA_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 (input) INTEGER The number of linear equations, i.e., the order of the matrix A. N >= 0. NZ (input) 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 (input) INTEGER The number of right hand sides, i.e., the number of columns of the matrices AYB, RES, and BERR. NRHS >= 0. RES (input) DOUBLE PRECISION array, dimension (N,NRHS) The residual matrix, i.e., the matrix R in the relative backward error formula above. AYB (input) 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 zla_gerfsx_extended.f). BERR (output) COMPLEX*16 array, dimension (NRHS) The componentwise relative backward error from the formula above. LAPACK routine (version 3.2.2)March 2011 LAPACK-3(3)
 
 
 

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