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/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/cgtcon.f(3) Library Functions Manual /home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/cgtcon.f(3)

NAME

/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/cgtcon.f

SYNOPSIS

Functions/Subroutines


subroutine CGTCON (norm, n, dl, d, du, du2, ipiv, anorm, rcond, work, info)
CGTCON

Function/Subroutine Documentation

subroutine CGTCON (character norm, integer n, complex, dimension( * ) dl, complex, dimension( * ) d, complex, dimension( * ) du, complex, dimension( * ) du2, integer, dimension( * ) ipiv, real anorm, real rcond, complex, dimension( * ) work, integer info)

CGTCON

Purpose:

!>
!> CGTCON estimates the reciprocal of the condition number of a complex
!> tridiagonal matrix A using the LU factorization as computed by
!> CGTTRF.
!>
!> An estimate is obtained for norm(inv(A)), and the reciprocal of the
!> condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).
!> 

Parameters

NORM

!>          NORM is CHARACTER*1
!>          Specifies whether the 1-norm condition number or the
!>          infinity-norm condition number is required:
!>          = '1' or 'O':  1-norm;
!>          = 'I':         Infinity-norm.
!> 

N

!>          N is INTEGER
!>          The order of the matrix A.  N >= 0.
!> 

DL

!>          DL is COMPLEX array, dimension (N-1)
!>          The (n-1) multipliers that define the matrix L from the
!>          LU factorization of A as computed by CGTTRF.
!> 

D

!>          D is COMPLEX array, dimension (N)
!>          The n diagonal elements of the upper triangular matrix U from
!>          the LU factorization of A.
!> 

DU

!>          DU is COMPLEX array, dimension (N-1)
!>          The (n-1) elements of the first superdiagonal of U.
!> 

DU2

!>          DU2 is COMPLEX array, dimension (N-2)
!>          The (n-2) elements of the second superdiagonal of U.
!> 

IPIV

!>          IPIV is INTEGER array, dimension (N)
!>          The pivot indices; for 1 <= i <= n, row i of the matrix was
!>          interchanged with row IPIV(i).  IPIV(i) will always be either
!>          i or i+1; IPIV(i) = i indicates a row interchange was not
!>          required.
!> 

ANORM

!>          ANORM is REAL
!>          If NORM = '1' or 'O', the 1-norm of the original matrix A.
!>          If NORM = 'I', the infinity-norm of the original matrix A.
!> 

RCOND

!>          RCOND is REAL
!>          The reciprocal of the condition number of the matrix A,
!>          computed as RCOND = 1/(ANORM * AINVNM), where AINVNM is an
!>          estimate of the 1-norm of inv(A) computed in this routine.
!> 

WORK

!>          WORK is COMPLEX array, dimension (2*N)
!> 

INFO

!>          INFO is INTEGER
!>          = 0:  successful exit
!>          < 0:  if INFO = -i, the i-th argument had an illegal value
!> 

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 139 of file cgtcon.f.

Author

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Version 3.12.0 LAPACK