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trttp(3) LAPACK 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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