# cla_lin_berr.f(3) [centos man page]

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) CLA_LIN_BERR computes a component-wise relative backward error.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 computes a component-wise relative backward error. 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. Parameters: N N is INTEGER The number of linear equations, i.e., the order of the matrix A. N >= 0. NZ 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 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 RES is DOUBLE PRECISION array, dimension (N,NRHS) The residual matrix, i.e., the matrix R in the relative backward error formula above. AYB 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 BERR is COMPLEX array, dimension (NRHS) The componentwise relative backward error from the formula above. Author: Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Date: September 2012 Definition at line 102 of file cla_lin_berr.f.AuthorGenerated automatically by Doxygen for LAPACK from the source code.Version 3.4.2Tue Sep 25 2012 cla_lin_berr.f(3)

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zla_lin_berr.f(3) LAPACK zla_lin_berr.f(3)NAME

zla_lin_berr.f-SYNOPSIS

Functions/Subroutines subroutine zla_lin_berr (N, NZ, NRHS, RES, AYB, BERR) ZLA_LIN_BERR computes a component-wise relative backward error.Function/Subroutine Documentation subroutine zla_lin_berr (integerN, integerNZ, integerNRHS, complex*16, dimension( n, nrhs )RES, double precision, dimension( n, nrhs )AYB, double precision, dimension( nrhs )BERR) ZLA_LIN_BERR computes a component-wise relative backward error. 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. Parameters: N N is INTEGER The number of linear equations, i.e., the order of the matrix A. N >= 0. NZ 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 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 RES is DOUBLE PRECISION array, dimension (N,NRHS) The residual matrix, i.e., the matrix R in the relative backward error formula above. AYB 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 zla_gerfsx_extended.f). BERR BERR is COMPLEX*16 array, dimension (NRHS) The componentwise relative backward error from the formula above. Author: Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Date: September 2012 Definition at line 102 of file zla_lin_berr.f.AuthorGenerated automatically by Doxygen for LAPACK from the source code.Version 3.4.2Tue Sep 25 2012 zla_lin_berr.f(3)