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

NAME
       SRC/zhecon_rook.f

SYNOPSIS
   Functions/Subroutines
       subroutine zhecon_rook (uplo, n, a, lda, ipiv, anorm, rcond, work,
           info)
            ZHECON_ROOK estimates the reciprocal of the condition number fort
           HE matrices using factorization obtained with one of the bounded
           diagonal pivoting methods (max 2 interchanges)

Function/Subroutine Documentation
   subroutine zhecon_rook (character uplo, integer n, complex*16, dimension(
       lda, * ) a, integer lda, integer, dimension( * ) ipiv, double precision
       anorm, double precision rcond, complex*16, dimension( * ) work, integer
       info)
        ZHECON_ROOK estimates the reciprocal of the condition number fort HE
       matrices using factorization obtained with one of the bounded diagonal
       pivoting methods (max 2 interchanges)

       Purpose:


            ZHECON_ROOK estimates the reciprocal of the condition number of a complex
            Hermitian matrix A using the factorization A = U*D*U**H or
            A = L*D*L**H computed by CHETRF_ROOK.

            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**H;
                     = 'L':  Lower triangular, form is A = L*D*L**H.

           N

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

           A

                     A is COMPLEX*16 array, dimension (LDA,N)
                     The block diagonal matrix D and the multipliers used to
                     obtain the factor U or L as computed by CHETRF_ROOK.

           LDA

                     LDA is INTEGER
                     The leading dimension of the array A.  LDA >= max(1,N).

           IPIV

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

           ANORM

                     ANORM is DOUBLE PRECISION
                     The 1-norm of the original matrix A.

           RCOND

                     RCOND is DOUBLE PRECISION
                     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*16 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.

       Contributors:


             June 2017,  Igor Kozachenko,
                             Computer Science Division,
                             University of California, Berkeley

             September 2007, Sven Hammarling, Nicholas J. Higham, Craig Lucas,
                             School of Mathematics,
                             University of Manchester

       Definition at line 137 of file zhecon_rook.f.

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

LAPACK                          Version 3.12.0            SRC/zhecon_rook.f(3)