# cla_gercond_x.f man page

cla_gercond_x.f

## Synopsis

### Functions/Subroutines

real function **cla_gercond_x** (TRANS, **N**, A, **LDA**, AF, LDAF, IPIV, X, INFO, WORK, RWORK)**CLA_GERCOND_X** computes the infinity norm condition number of op(A)*diag(x) for general matrices.

## Function/Subroutine Documentation

### real function cla_gercond_x (character TRANS, integer N, complex, dimension( lda, * ) A, integer LDA, complex, dimension( ldaf, * ) AF, integer LDAF, integer, dimension( * ) IPIV, complex, dimension( * ) X, integer INFO, complex, dimension( * ) WORK, real, dimension( * ) RWORK)

**CLA_GERCOND_X** computes the infinity norm condition number of op(A)*diag(x) for general matrices.

**Purpose:**

CLA_GERCOND_X computes the infinity norm condition number of op(A) * diag(X) where X is a COMPLEX vector.

**Parameters:***TRANS*TRANS is CHARACTER*1 Specifies the form of the system of equations: = 'N': A * X = B (No transpose) = 'T': A**T * X = B (Transpose) = 'C': A**H * X = B (Conjugate Transpose = Transpose)

*N*N is INTEGER The number of linear equations, i.e., the order of the matrix A. N >= 0.

*A*A is COMPLEX array, dimension (LDA,N) On entry, the N-by-N matrix A.

*LDA*LDA is INTEGER The leading dimension of the array A. LDA >= max(1,N).

*AF*AF is COMPLEX array, dimension (LDAF,N) The factors L and U from the factorization A = P*L*U as computed by CGETRF.

*LDAF*LDAF is INTEGER The leading dimension of the array AF. LDAF >= max(1,N).

*IPIV*IPIV is INTEGER array, dimension (N) The pivot indices from the factorization A = P*L*U as computed by CGETRF; row i of the matrix was interchanged with row IPIV(i).

*X*X is COMPLEX array, dimension (N) The vector X in the formula op(A) * diag(X).

*INFO*INFO is INTEGER = 0: Successful exit. i > 0: The ith argument is invalid.

*WORK*WORK is COMPLEX array, dimension (2*N). Workspace.

*RWORK*RWORK is REAL array, dimension (N). Workspace.

**Author:**Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

**Date:**December 2016

Definition at line 137 of file cla_gercond_x.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

The man page cla_gercond_x(3) is an alias of cla_gercond_x.f(3).

Tue Nov 14 2017 Version 3.8.0 LAPACK