carta
zla_gercond_x(3)

zla_gercond_x3

Part of zla_gercond_x.f(3).

Function/Subroutine Documentation

double precision function zla_gercond_x (character trans, integer n, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( ldaf, * ) af, integer ldaf, integer, dimension( * ) ipiv, complex*16, dimension( * ) x, integer info, complex*16, dimension( * ) work, double precision, dimension( * ) rwork)

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

Purpose:

!>
!>    ZLA_GERCOND_X computes the infinity norm condition number of
!>    op(A) * diag(X) where X is a COMPLEX*16 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*16 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*16 array, dimension (LDAF,N)
!>     The factors L and U from the factorization
!>     A = P*L*U as computed by ZGETRF.
!> 

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 ZGETRF; row i of the matrix was interchanged
!>     with row IPIV(i).
!> 

X

!>          X is COMPLEX*16 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*16 array, dimension (2*N).
!>     Workspace.
!> 

RWORK

!>          RWORK is DOUBLE PRECISION array, dimension (N).
!>     Workspace.
!> 

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 133 of file zla_gercond_x.f.

History

  • Arch Linux 2026-11-01: the text shown here
  • Debian 12 (Bookworm)
  • Debian 11 (Bullseye)
  • Debian 10 (Buster)
  • Debian 9 (Stretch)
  • Debian 8 (Jessie)
  • Debian 7 (Wheezy)

Author

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From lapack-doc 3.12.1-2 in Arch Linux 2026-11-01. Parsed by carta from the page's man source.