cptcon.f(3)

NAME
cptcon.f -

SYNOPSIS

  Functions/Subroutines
subroutine cptcon (N, D, E, ANORM, RCOND, RWORK, INFO)
CPTCON

Function/Subroutine Documentation

  subroutine cptcon (integerN, real, dimension( * )D, complex, dimension( * )E, realANORM, realRCOND, real, dimension( * )RWORK, integerINFO)

CPTCON

Purpose:

     CPTCON computes the reciprocal of the condition number (in the
     1-norm) of a complex Hermitian positive definite tridiagonal matrix
     using the factorization A = L*D*L**H or A = U**H*D*U computed by
     CPTTRF.
     Norm(inv(A)) is computed by a direct method, and the reciprocal of
     the condition number is computed as
                      RCOND = 1 / (ANORM * norm(inv(A))).

Parameters:
    N

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

    D

              D is REAL array, dimension (N)
              The n diagonal elements of the diagonal matrix D from the
              factorization of A, as computed by CPTTRF.

    E

              E is COMPLEX array, dimension (N-1)
              The (n-1) off-diagonal elements of the unit bidiagonal factor
              U or L from the factorization of A, as computed by CPTTRF.

    ANORM

              ANORM is REAL
              The 1-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 the
              1-norm of inv(A) computed in this routine.

    RWORK

              RWORK is REAL array, dimension (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.

Date:
    September 2012

Further Details:

      The method used is described in Nicholas J. Higham, "Efficient
      Algorithms for Computing the Condition Number of a Tridiagonal
      Matrix", SIAM J. Sci. Stat. Comput., Vol. 7, No. 1, January 1986.

Definition at line 120 of file cptcon.f.

Author

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