zsyconvf.f(3)

NAME
zsyconvf.f

SYNOPSIS

  Functions/Subroutines
subroutine zsyconvf (UPLO, WAY, N, A, LDA, E, IPIV, INFO)
ZSYCONVF

Function/Subroutine Documentation

  subroutine zsyconvf (character UPLO, character WAY, integer N, complex*16, dimension( lda, * ) A, integer LDA, complex*16, dimension( * ) E, integer, dimension( * ) IPIV, integer INFO)

Purpose:

     If parameter WAY = 'C':
     ZSYCONVF converts the factorization output format used in
     ZSYTRF 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. It also converts in place details of
     the intechanges stored in IPIV from the format used in ZSYTRF into
     the format used in ZSYTRF_RK (or ZSYTRF_BK).
     If parameter WAY = 'R':
     ZSYCONVF 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 that is stored
     on exit in parameter A. It also converts in place details of
     the intechanges stored in IPIV from the format used in ZSYTRF_RK
     (or ZSYTRF_BK) into the format used in ZSYTRF.
     ZSYCONVF can also convert in Hermitian matrix case, i.e. between
     formats used in ZHETRF 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:
                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:
                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)
              1) If WAY ='C':
              On entry, details of the interchanges and the block
              structure of D in the format used in ZSYTRF.
              On exit, details of the interchanges and the block
              structure of D in the format used in ZSYTRF_RK
              ( or ZSYTRF_BK).
              1) If WAY ='R':
              On entry, details of the interchanges and the block
              structure of D in the format used in ZSYTRF_RK
              ( or ZSYTRF_BK).
              On exit, details of the interchanges and the block
              structure of D in the format used in ZSYTRF.

    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 208 of file zsyconvf.f.

Author

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