Provided by: liblapack-doc_3.12.0-3build2_all bug

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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Version 3.12.0                               Thu Aug 8 2024 12:55:44                                    tpttr(3)