# cla_gercond_x.f man page

cla_gercond_x.f —

## Synopsis

### Functions/Subroutines

REAL functioncla_gercond_x(TRANS, N, A, LDA, AF, LDAF, IPIV, X, INFO, WORK, RWORK)CLA_GERCOND_Xcomputes the infinity norm condition number of op(A)*diag(x) for general matrices.

## Function/Subroutine Documentation

### REAL function cla_gercond_x (characterTRANS, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV, complex, dimension( * )X, integerINFO, 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:**

September 2012

Definition at line 135 of file cla_gercond_x.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

cla_gercond_x(3) is an alias of cla_gercond_x.f(3).