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)