table of contents
| tpttr(3) | LAPACK | 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 is CHARACTER*1 !> = 'U': A is upper triangular. !> = 'L': A is lower triangular. !>
N
!> N is INTEGER !> The order of the matrix A. N >= 0. !>
AP
!> 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
!> 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 California Berkeley
Univ. of Colorado Denver
NAG Ltd.
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 is CHARACTER*1 !> = 'U': A is upper triangular. !> = 'L': A is lower triangular. !>
N
!> N is INTEGER !> The order of the matrix A. N >= 0. !>
AP
!> 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
!> 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 California Berkeley
Univ. of Colorado Denver
NAG Ltd.
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 is CHARACTER*1 !> = 'U': A is upper triangular. !> = 'L': A is lower triangular. !>
N
!> N is INTEGER !> The order of the matrix A. N >= 0. !>
AP
!> 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
!> 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 California Berkeley
Univ. of Colorado Denver
NAG Ltd.
subroutine ztpttr (character uplo, integer n, complex*16, dimension( * ) ap, complex*16, 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 is CHARACTER*1 !> = 'U': A is upper triangular. !> = 'L': A is lower triangular. !>
N
!> N is INTEGER !> The order of the matrix A. N >= 0. !>
AP
!> 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
!> 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 California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Author¶
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