# tpttr - Man Page

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).

## 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

```          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 Tennessee

Univ. of California Berkeley

NAG Ltd.

Definition at line 103 of file ctpttr.f.

### 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

```          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 Tennessee

Univ. of California Berkeley

NAG Ltd.

Definition at line 103 of file dtpttr.f.

### 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

```          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 Tennessee

Univ. of California Berkeley

NAG Ltd.

Definition at line 103 of file stpttr.f.

### 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

```          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 Tennessee

Univ. of California Berkeley