table of contents
| trttp(3) | Library Functions Manual | 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 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 California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 103 of file ctrttp.f.
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 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 California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 103 of file dtrttp.f.
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 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 California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 103 of file strttp.f.
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 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 California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 103 of file ztrttp.f.
Author¶
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