tpttr(3)

Library Functions Manual

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

          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 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.

Definition at line 103 of file ctpttr.f.

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

          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 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.

Definition at line 103 of file dtpttr.f.

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

          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 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.

Definition at line 103 of file stpttr.f.

subroutine ztpttr (character uplo, integer n, complex16, dimension( ) ap, complex16, 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 is INTEGER
          The order of the matrix A. N >= 0.

          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 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.

Definition at line 103 of file ztpttr.f.

Author

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