SRC/cgtcon.f(3)            Library Functions Manual            SRC/cgtcon.f(3)

NAME
       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
       Generated automatically by Doxygen for LAPACK from the source code.

LAPACK                          Version 3.12.0                 SRC/cgtcon.f(3)