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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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