tpttr(3)

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

SYNOPSIS

  Functions

subroutine ctpttr (uplo, n, ap, a, lda, info)
CTPTTR copies a triangular matrix from the standard packed format (TP) to the standard full format (TR).
subroutine dtpttr (uplo, n, ap, a, lda, info)
DTPTTR copies a triangular matrix from the standard packed format (TP) to the standard full format (TR).
subroutine stpttr (uplo, n, ap, a, lda, info)
STPTTR copies a triangular matrix from the standard packed format (TP) to the standard full format (TR).
subroutine ztpttr (uplo, n, ap, a, lda, info)
ZTPTTR copies a triangular matrix from the standard packed format (TP) to the standard full format (TR).

Detailed Description

Function Documentation

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

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

Purpose:

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

Parameters
    UPLO

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

    N

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

    AP

    !>          AP is COMPLEX array, dimension ( N*(N+1)/2 ),
    !>          On entry, 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.
    !>

    A

    !>          A is COMPLEX 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).
    !>

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

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

Purpose:

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

Parameters
    UPLO

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

    N

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

    AP

    !>          AP is DOUBLE PRECISION array, dimension ( N*(N+1)/2 ),
    !>          On entry, 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.
    !>

    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).
    !>

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

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

Purpose:

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

Parameters
    UPLO

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

    N

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

    AP

    !>          AP is REAL array, dimension ( N*(N+1)/2 ),
    !>          On entry, 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.
    !>

    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).
    !>

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

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

Purpose:

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

Parameters
    UPLO

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

    N

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

    AP

    !>          AP is COMPLEX*16 array, dimension ( N*(N+1)/2 ),
    !>          On entry, 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.
    !>

    A

    !>          A is COMPLEX*16 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).
    !>

    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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