CLA_GERCOND_X (3) Linux Manual 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 (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

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