.TH "cla_lin_berr.f" 3 "Wed Oct 15 2014" "Version 3.4.2" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME cla_lin_berr.f \- .SH SYNOPSIS .br .PP .SS "Functions/Subroutines" .in +1c .ti -1c .RI "subroutine \fBcla_lin_berr\fP (N, NZ, NRHS, RES, AYB, BERR)" .br .RI "\fI\fBCLA_LIN_BERR\fP computes a component-wise relative backward error\&. \fP" .in -1c .SH "Function/Subroutine Documentation" .PP .SS "subroutine cla_lin_berr (integerN, integerNZ, integerNRHS, complex, dimension( n, nrhs )RES, real, dimension( n, nrhs )AYB, real, dimension( nrhs )BERR)" .PP \fBCLA_LIN_BERR\fP computes a component-wise relative backward error\&. .PP \fBPurpose: \fP .RS 4 .PP .nf 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. .fi .PP .RE .PP \fBParameters:\fP .RS 4 \fIN\fP .PP .nf N is INTEGER The number of linear equations, i.e., the order of the matrix A. N >= 0. .fi .PP .br \fINZ\fP .PP .nf 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. .fi .PP .br \fINRHS\fP .PP .nf NRHS is INTEGER The number of right hand sides, i.e., the number of columns of the matrices AYB, RES, and BERR. NRHS >= 0. .fi .PP .br \fIRES\fP .PP .nf RES is REAL array, dimension (N,NRHS) The residual matrix, i.e., the matrix R in the relative backward error formula above. .fi .PP .br \fIAYB\fP .PP .nf AYB is REAL 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). .fi .PP .br \fIBERR\fP .PP .nf BERR is COMPLEX array, dimension (NRHS) The componentwise relative backward error from the formula above. .fi .PP .RE .PP \fBAuthor:\fP .RS 4 Univ\&. of Tennessee .PP Univ\&. of California Berkeley .PP Univ\&. of Colorado Denver .PP NAG Ltd\&. .RE .PP \fBDate:\fP .RS 4 November 2013 .RE .PP .PP Definition at line 102 of file cla_lin_berr\&.f\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.