# 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).

## 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*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

Univ. of Colorado Denver

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

Univ. of Colorado Denver

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

Univ. of Colorado Denver

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

Univ. of Colorado Denver

NAG Ltd.

Definition at line **103** of file **ztpttr.f**.

## Author

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