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trttp

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


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).

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.

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.

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.

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.

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