# cla_gercond_x.f - Man Page

SRC/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.

Definition at line **133** 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 28 2023 12:08:41 Version 3.12.0 LAPACK