trttp(3)

NAME
trttp - trttp: triangular matrix, full (tr) to packed (tp)

SYNOPSIS

  Functions

subroutine ctrttp (uplo, n, a, lda, ap, info)
CTRTTP copies a triangular matrix from the standard full format (TR) to the standard packed format (TP).
subroutine dtrttp (uplo, n, a, lda, ap, info)
DTRTTP copies a triangular matrix from the standard full format (TR) to the standard packed format (TP).
subroutine strttp (uplo, n, a, lda, ap, info)
STRTTP copies a triangular matrix from the standard full format (TR) to the standard packed format (TP).
subroutine ztrttp (uplo, n, a, lda, ap, info)
ZTRTTP copies a triangular matrix from the standard full format (TR) to the standard packed format (TP).

Detailed Description

Function Documentation

  subroutine ctrttp (character uplo, integer n, complex, dimension( lda, * ) a, integer lda, complex, dimension( * ) ap, integer info)

CTRTTP copies a triangular matrix from the standard full format (TR) to the standard packed format (TP).

Purpose:

    !>
    !> CTRTTP copies a triangular matrix A from full format (TR) to standard
    !> packed format (TP).
    !>

Parameters
    UPLO

    !>          UPLO is CHARACTER*1
    !>          = 'U':  A is upper triangular;
    !>          = 'L':  A is lower triangular.
    !>

    N

    !>          N is INTEGER
    !>          The order of the matrices AP and A.  N >= 0.
    !>

    A

    !>          A is COMPLEX array, dimension (LDA,N)
    !>          On entry, the triangular matrix A.  If UPLO = 'U', the leading
    !>          N-by-N upper triangular part of A contains the upper
    !>          triangular part of the matrix A, and the strictly lower
    !>          triangular part of A is not referenced.  If UPLO = 'L', the
    !>          leading N-by-N lower triangular part of A contains the lower
    !>          triangular part of the matrix A, and the strictly upper
    !>          triangular part of A is not referenced.
    !>

    LDA

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

    AP

    !>          AP is COMPLEX array, dimension ( N*(N+1)/2 ),
    !>          On exit, the upper or lower triangular matrix A, packed
    !>          columnwise in a linear array. The j-th column of A is stored
    !>          in the array AP as follows:
    !>          if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
    !>          if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=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.

  subroutine dtrttp (character uplo, integer n, double precision, dimension( lda, * ) a, integer lda, double precision, dimension( * ) ap, integer info)

DTRTTP copies a triangular matrix from the standard full format (TR) to the standard packed format (TP).

Purpose:

    !>
    !> DTRTTP copies a triangular matrix A from full format (TR) to standard
    !> packed format (TP).
    !>

Parameters
    UPLO

    !>          UPLO is CHARACTER*1
    !>          = 'U':  A is upper triangular.
    !>          = 'L':  A is lower triangular.
    !>

    N

    !>          N is INTEGER
    !>          The order of the matrices AP and A.  N >= 0.
    !>

    A

    !>          A is DOUBLE PRECISION array, dimension (LDA,N)
    !>          On exit, the triangular matrix A.  If UPLO = 'U', the leading
    !>          N-by-N upper triangular part of A contains the upper
    !>          triangular part of the matrix A, and the strictly lower
    !>          triangular part of A is not referenced.  If UPLO = 'L', the
    !>          leading N-by-N lower triangular part of A contains the lower
    !>          triangular part of the matrix A, and the strictly upper
    !>          triangular part of A is not referenced.
    !>

    LDA

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

    AP

    !>          AP is DOUBLE PRECISION array, dimension (N*(N+1)/2)
    !>          On exit, the upper or lower triangular matrix A, packed
    !>          columnwise in a linear array. The j-th column of A is stored
    !>          in the array AP as follows:
    !>          if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
    !>          if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=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.

  subroutine strttp (character uplo, integer n, real, dimension( lda, * ) a, integer lda, real, dimension( * ) ap, integer info)

STRTTP copies a triangular matrix from the standard full format (TR) to the standard packed format (TP).

Purpose:

    !>
    !> STRTTP copies a triangular matrix A from full format (TR) to standard
    !> packed format (TP).
    !>

Parameters
    UPLO

    !>          UPLO is CHARACTER*1
    !>          = 'U':  A is upper triangular.
    !>          = 'L':  A is lower triangular.
    !>

    N

    !>          N is INTEGER
    !>          The order of the matrices AP and A.  N >= 0.
    !>

    A

    !>          A is REAL array, dimension (LDA,N)
    !>          On exit, the triangular matrix A.  If UPLO = 'U', the leading
    !>          N-by-N upper triangular part of A contains the upper
    !>          triangular part of the matrix A, and the strictly lower
    !>          triangular part of A is not referenced.  If UPLO = 'L', the
    !>          leading N-by-N lower triangular part of A contains the lower
    !>          triangular part of the matrix A, and the strictly upper
    !>          triangular part of A is not referenced.
    !>

    LDA

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

    AP

    !>          AP is REAL array, dimension (N*(N+1)/2)
    !>          On exit, the upper or lower triangular matrix A, packed
    !>          columnwise in a linear array. The j-th column of A is stored
    !>          in the array AP as follows:
    !>          if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
    !>          if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=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.

  subroutine ztrttp (character uplo, integer n, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( * ) ap, integer info)

ZTRTTP copies a triangular matrix from the standard full format (TR) to the standard packed format (TP).

Purpose:

    !>
    !> ZTRTTP copies a triangular matrix A from full format (TR) to standard
    !> packed format (TP).
    !>

Parameters
    UPLO

    !>          UPLO is CHARACTER*1
    !>          = 'U':  A is upper triangular;
    !>          = 'L':  A is lower triangular.
    !>

    N

    !>          N is INTEGER
    !>          The order of the matrices AP and A.  N >= 0.
    !>

    A

    !>          A is COMPLEX*16 array, dimension (LDA,N)
    !>          On entry, the triangular matrix A.  If UPLO = 'U', the leading
    !>          N-by-N upper triangular part of A contains the upper
    !>          triangular part of the matrix A, and the strictly lower
    !>          triangular part of A is not referenced.  If UPLO = 'L', the
    !>          leading N-by-N lower triangular part of A contains the lower
    !>          triangular part of the matrix A, and the strictly upper
    !>          triangular part of A is not referenced.
    !>

    LDA

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

    AP

    !>          AP is COMPLEX*16 array, dimension ( N*(N+1)/2 ),
    !>          On exit, the upper or lower triangular matrix A, packed
    !>          columnwise in a linear array. The j-th column of A is stored
    !>          in the array AP as follows:
    !>          if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
    !>          if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=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.

Author

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