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

NAME
       SRC/zsyconvf_rook.f

SYNOPSIS
   Functions/Subroutines
       subroutine zsyconvf_rook (uplo, way, n, a, lda, e, ipiv, info)
           ZSYCONVF_ROOK

Function/Subroutine Documentation
   subroutine zsyconvf_rook (character uplo, character way, integer n,
       complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension(
       * ) e, integer, dimension( * ) ipiv, integer info)
       ZSYCONVF_ROOK

       Purpose:


            If parameter WAY = 'C':
            ZSYCONVF_ROOK converts the factorization output format used in
            ZSYTRF_ROOK provided on entry in parameter A into the factorization
            output format used in ZSYTRF_RK (or ZSYTRF_BK) that is stored
            on exit in parameters A and E. IPIV format for ZSYTRF_ROOK and
            ZSYTRF_RK (or ZSYTRF_BK) is the same and is not converted.

            If parameter WAY = 'R':
            ZSYCONVF_ROOK performs the conversion in reverse direction, i.e.
            converts the factorization output format used in ZSYTRF_RK
            (or ZSYTRF_BK) provided on entry in parameters A and E into
            the factorization output format used in ZSYTRF_ROOK that is stored
            on exit in parameter A. IPIV format for ZSYTRF_ROOK and
            ZSYTRF_RK (or ZSYTRF_BK) is the same and is not converted.

            ZSYCONVF_ROOK can also convert in Hermitian matrix case, i.e. between
            formats used in ZHETRF_ROOK and ZHETRF_RK (or ZHETRF_BK).

       Parameters
           UPLO

                     UPLO is CHARACTER*1
                     Specifies whether the details of the factorization are
                     stored as an upper or lower triangular matrix A.
                     = 'U':  Upper triangular
                     = 'L':  Lower triangular

           WAY

                     WAY is CHARACTER*1
                     = 'C': Convert
                     = 'R': Revert

           N

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

           A

                     A is COMPLEX*16 array, dimension (LDA,N)

                     1) If WAY ='C':

                     On entry, contains factorization details in format used in
                     ZSYTRF_ROOK:
                       a) all elements of the symmetric block diagonal
                          matrix D on the diagonal of A and on superdiagonal
                          (or subdiagonal) of A, and
                       b) If UPLO = 'U': multipliers used to obtain factor U
                          in the superdiagonal part of A.
                          If UPLO = 'L': multipliers used to obtain factor L
                          in the superdiagonal part of A.

                     On exit, contains factorization details in format used in
                     ZSYTRF_RK or ZSYTRF_BK:
                       a) ONLY diagonal elements of the symmetric block diagonal
                          matrix D on the diagonal of A, i.e. D(k,k) = A(k,k);
                          (superdiagonal (or subdiagonal) elements of D
                           are stored on exit in array E), and
                       b) If UPLO = 'U': factor U in the superdiagonal part of A.
                          If UPLO = 'L': factor L in the subdiagonal part of A.

                     2) If WAY = 'R':

                     On entry, contains factorization details in format used in
                     ZSYTRF_RK or ZSYTRF_BK:
                       a) ONLY diagonal elements of the symmetric block diagonal
                          matrix D on the diagonal of A, i.e. D(k,k) = A(k,k);
                          (superdiagonal (or subdiagonal) elements of D
                           are stored on exit in array E), and
                       b) If UPLO = 'U': factor U in the superdiagonal part of A.
                          If UPLO = 'L': factor L in the subdiagonal part of A.

                     On exit, contains factorization details in format used in
                     ZSYTRF_ROOK:
                       a) all elements of the symmetric block diagonal
                          matrix D on the diagonal of A and on superdiagonal
                          (or subdiagonal) of A, and
                       b) If UPLO = 'U': multipliers used to obtain factor U
                          in the superdiagonal part of A.
                          If UPLO = 'L': multipliers used to obtain factor L
                          in the superdiagonal part of A.

           LDA

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

           E

                     E is COMPLEX*16 array, dimension (N)

                     1) If WAY ='C':

                     On entry, just a workspace.

                     On exit, contains the superdiagonal (or subdiagonal)
                     elements of the symmetric block diagonal matrix D
                     with 1-by-1 or 2-by-2 diagonal blocks, where
                     If UPLO = 'U': E(i) = D(i-1,i), i=2:N, E(1) is set to 0;
                     If UPLO = 'L': E(i) = D(i+1,i), i=1:N-1, E(N) is set to 0.

                     2) If WAY = 'R':

                     On entry, contains the superdiagonal (or subdiagonal)
                     elements of the symmetric block diagonal matrix D
                     with 1-by-1 or 2-by-2 diagonal blocks, where
                     If UPLO = 'U': E(i) = D(i-1,i),i=2:N, E(1) not referenced;
                     If UPLO = 'L': E(i) = D(i+1,i),i=1:N-1, E(N) not referenced.

                     On exit, is not changed

           IPIV

                     IPIV is INTEGER array, dimension (N)
                     On entry, details of the interchanges and the block
                     structure of D as determined:
                     1) by ZSYTRF_ROOK, if WAY ='C';
                     2) by ZSYTRF_RK (or ZSYTRF_BK), if WAY ='R'.
                     The IPIV format is the same for all these routines.

                     On exit, is not changed.

           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:


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

       Definition at line 199 of file zsyconvf_rook.f.

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

LAPACK                          Version 3.12.0          SRC/zsyconvf_rook.f(3)