syconv(3)

NAME
syconv - syconv: convert to/from L and D from hetrf

SYNOPSIS

  Functions

subroutine csyconv (uplo, way, n, a, lda, ipiv, e, info)
CSYCONV
subroutine dsyconv (uplo, way, n, a, lda, ipiv, e, info)
DSYCONV
subroutine ssyconv (uplo, way, n, a, lda, ipiv, e, info)
SSYCONV
subroutine zsyconv (uplo, way, n, a, lda, ipiv, e, info)
ZSYCONV

Detailed Description

Function Documentation

  subroutine csyconv (character uplo, character way, integer n, complex, dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv, complex, dimension( * ) e, integer info)

CSYCONV

Purpose:

    !>
    !> CSYCONV convert A given by TRF into L and D and vice-versa.
    !> Get Non-diag elements of D (returned in workspace) and
    !> apply or reverse permutation done in TRF.
    !>

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.
    !>

    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 array, dimension (LDA,N)
    !>          The block diagonal matrix D and the multipliers used to
    !>          obtain the factor U or L as computed by CSYTRF.
    !>

    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 CSYTRF.
    !>

    E

    !>          E is COMPLEX array, dimension (N)
    !>          E stores the supdiagonal/subdiagonal of the symmetric 1-by-1
    !>          or 2-by-2 block diagonal matrix D in LDLT.
    !>

    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.

  subroutine dsyconv (character uplo, character way, integer n, double precision, dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv, double precision, dimension( * ) e, integer info)

DSYCONV

Purpose:

    !>
    !> DSYCONV convert A given by TRF into L and D and vice-versa.
    !> Get Non-diag elements of D (returned in workspace) and
    !> apply or reverse permutation done in TRF.
    !>

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.
    !>

    WAY

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

    N

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

    A

    !>          A is DOUBLE PRECISION array, dimension (LDA,N)
    !>          The block diagonal matrix D and the multipliers used to
    !>          obtain the factor U or L as computed by DSYTRF.
    !>

    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 DSYTRF.
    !>

    E

    !>          E is DOUBLE PRECISION array, dimension (N)
    !>          E stores the supdiagonal/subdiagonal of the symmetric 1-by-1
    !>          or 2-by-2 block diagonal matrix D in LDLT.
    !>

    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.

  subroutine ssyconv (character uplo, character way, integer n, real, dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv, real, dimension( * ) e, integer info)

SSYCONV

Purpose:

    !>
    !> SSYCONV convert A given by TRF into L and D and vice-versa.
    !> Get Non-diag elements of D (returned in workspace) and
    !> apply or reverse permutation done in TRF.
    !>

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.
    !>

    WAY

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

    N

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

    A

    !>          A is REAL array, dimension (LDA,N)
    !>          The block diagonal matrix D and the multipliers used to
    !>          obtain the factor U or L as computed by SSYTRF.
    !>

    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 SSYTRF.
    !>

    E

    !>          E is REAL array, dimension (N)
    !>          E stores the supdiagonal/subdiagonal of the symmetric 1-by-1
    !>          or 2-by-2 block diagonal matrix D in LDLT.
    !>

    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.

  subroutine zsyconv (character uplo, character way, integer n, complex*16, dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv, complex*16, dimension( * ) e, integer info)

ZSYCONV

Purpose:

    !>
    !> ZSYCONV converts A given by ZHETRF into L and D or vice-versa.
    !> Get nondiagonal elements of D (returned in workspace) and
    !> apply or reverse permutation done in TRF.
    !>

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.
    !>

    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)
    !>          The block diagonal matrix D and the multipliers used to
    !>          obtain the factor U or L as computed by ZSYTRF.
    !>

    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 ZSYTRF.
    !>

    E

    !>          E is COMPLEX*16 array, dimension (N)
    !>          E stores the supdiagonal/subdiagonal of the symmetric 1-by-1
    !>          or 2-by-2 block diagonal matrix D in LDLT.
    !>

    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.

Author

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