DragonFly On-Line Manual Pages

Search: Section:  

cspcon.f(3)                         LAPACK                         cspcon.f(3)


NAME

       cspcon.f -


SYNOPSIS

   Functions/Subroutines
       subroutine cspcon (UPLO, N, AP, IPIV, ANORM, RCOND, WORK, INFO)
           CSPCON

Function/Subroutine Documentation
   subroutine cspcon (characterUPLO, integerN, complex, dimension( * )AP,
       integer, dimension( * )IPIV, realANORM, realRCOND, complex, dimension(
       * )WORK, integerINFO)
       CSPCON

       Purpose:

            CSPCON estimates the reciprocal of the condition number (in the
            1-norm) of a complex symmetric packed matrix A using the
            factorization A = U*D*U**T or A = L*D*L**T computed by CSPTRF.

            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:
           UPLO

                     UPLO is CHARACTER*1
                     Specifies whether the details of the factorization are stored
                     as an upper or lower triangular matrix.
                     = 'U':  Upper triangular, form is A = U*D*U**T;
                     = 'L':  Lower triangular, form is A = L*D*L**T.

           N

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

           AP

                     AP is COMPLEX array, dimension (N*(N+1)/2)
                     The block diagonal matrix D and the multipliers used to
                     obtain the factor U or L as computed by CSPTRF, stored as a
                     packed triangular matrix.

           IPIV

                     IPIV is INTEGER array, dimension (N)
                     Details of the interchanges and the block structure of D
                     as determined by CSPTRF.

           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 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.

       Date:
           November 2011

       Definition at line 119 of file cspcon.f.

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

Version 3.4.2                   Sat Nov 16 2013                    cspcon.f(3)

Search: Section: