Man page - trti2(3)

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Manual

trti2

NAME
SYNOPSIS
Functions
Detailed Description
Function Documentation
subroutine ctrti2 (character uplo, character diag, integer n, complex,dimension( lda, * ) a, integer lda, integer info)
subroutine dtrti2 (character uplo, character diag, integer n, doubleprecision, dimension( lda, * ) a, integer lda, integer info)
subroutine strti2 (character uplo, character diag, integer n, real,dimension( lda, * ) a, integer lda, integer info)
subroutine ztrti2 (character uplo, character diag, integer n, complex*16,dimension( lda, * ) a, integer lda, integer info)
Author

NAME

trti2 - trti2: triangular inverse, level 2

SYNOPSIS

Functions

subroutine ctrti2 (uplo, diag, n, a, lda, info)
CTRTI2 computes the inverse of a triangular matrix (unblocked algorithm).
subroutine dtrti2 (uplo, diag, n, a, lda, info)
DTRTI2 computes the inverse of a triangular matrix (unblocked algorithm).
subroutine strti2 (uplo, diag, n, a, lda, info)
STRTI2 computes the inverse of a triangular matrix (unblocked algorithm).
subroutine ztrti2 (uplo, diag, n, a, lda, info)
ZTRTI2 computes the inverse of a triangular matrix (unblocked algorithm).

Detailed Description

Function Documentation

subroutine ctrti2 (character uplo, character diag, integer n, complex,dimension( lda, * ) a, integer lda, integer info)

CTRTI2 computes the inverse of a triangular matrix (unblocked algorithm).

Purpose:

CTRTI2 computes the inverse of a complex upper or lower triangular
matrix.

This is the Level 2 BLAS version of the algorithm.

Parameters

UPLO

UPLO is CHARACTER*1
Specifies whether the matrix A is upper or lower triangular.
= ā€™Uā€™: Upper triangular
= ā€™Lā€™: Lower triangular

DIAG

DIAG is CHARACTER*1
Specifies whether or not the matrix A is unit triangular.
= ā€™Nā€™: Non-unit triangular
= ā€™Uā€™: Unit triangular

N

N is INTEGER
The order of the matrix A. N >= 0.

A

A is COMPLEX array, dimension (LDA,N)
On entry, the triangular matrix A. If UPLO = ā€™Uā€™, the
leading n by n upper triangular part of the array A contains
the upper triangular matrix, and the strictly lower
triangular part of A is not referenced. If UPLO = ā€™Lā€™, the
leading n by n lower triangular part of the array A contains
the lower triangular matrix, and the strictly upper
triangular part of A is not referenced. If DIAG = ā€™Uā€™, the
diagonal elements of A are also not referenced and are
assumed to be 1.

On exit, the (triangular) inverse of the original matrix, in
the same storage format.

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 = -k, the k-th argument had an illegal value

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

subroutine dtrti2 (character uplo, character diag, integer n, doubleprecision, dimension( lda, * ) a, integer lda, integer info)

DTRTI2 computes the inverse of a triangular matrix (unblocked algorithm).

Purpose:

DTRTI2 computes the inverse of a real upper or lower triangular
matrix.

This is the Level 2 BLAS version of the algorithm.

Parameters

UPLO

UPLO is CHARACTER*1
Specifies whether the matrix A is upper or lower triangular.
= ā€™Uā€™: Upper triangular
= ā€™Lā€™: Lower triangular

DIAG

DIAG is CHARACTER*1
Specifies whether or not the matrix A is unit triangular.
= ā€™Nā€™: Non-unit triangular
= ā€™Uā€™: Unit triangular

N

N is INTEGER
The order of the matrix A. N >= 0.

A

A is DOUBLE PRECISION array, dimension (LDA,N)
On entry, the triangular matrix A. If UPLO = ā€™Uā€™, the
leading n by n upper triangular part of the array A contains
the upper triangular matrix, and the strictly lower
triangular part of A is not referenced. If UPLO = ā€™Lā€™, the
leading n by n lower triangular part of the array A contains
the lower triangular matrix, and the strictly upper
triangular part of A is not referenced. If DIAG = ā€™Uā€™, the
diagonal elements of A are also not referenced and are
assumed to be 1.

On exit, the (triangular) inverse of the original matrix, in
the same storage format.

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 = -k, the k-th argument had an illegal value

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

subroutine strti2 (character uplo, character diag, integer n, real,dimension( lda, * ) a, integer lda, integer info)

STRTI2 computes the inverse of a triangular matrix (unblocked algorithm).

Purpose:

STRTI2 computes the inverse of a real upper or lower triangular
matrix.

This is the Level 2 BLAS version of the algorithm.

Parameters

UPLO

UPLO is CHARACTER*1
Specifies whether the matrix A is upper or lower triangular.
= ā€™Uā€™: Upper triangular
= ā€™Lā€™: Lower triangular

DIAG

DIAG is CHARACTER*1
Specifies whether or not the matrix A is unit triangular.
= ā€™Nā€™: Non-unit triangular
= ā€™Uā€™: Unit triangular

N

N is INTEGER
The order of the matrix A. N >= 0.

A

A is REAL array, dimension (LDA,N)
On entry, the triangular matrix A. If UPLO = ā€™Uā€™, the
leading n by n upper triangular part of the array A contains
the upper triangular matrix, and the strictly lower
triangular part of A is not referenced. If UPLO = ā€™Lā€™, the
leading n by n lower triangular part of the array A contains
the lower triangular matrix, and the strictly upper
triangular part of A is not referenced. If DIAG = ā€™Uā€™, the
diagonal elements of A are also not referenced and are
assumed to be 1.

On exit, the (triangular) inverse of the original matrix, in
the same storage format.

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 = -k, the k-th argument had an illegal value

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

subroutine ztrti2 (character uplo, character diag, integer n, complex*16,dimension( lda, * ) a, integer lda, integer info)

ZTRTI2 computes the inverse of a triangular matrix (unblocked algorithm).

Purpose:

ZTRTI2 computes the inverse of a complex upper or lower triangular
matrix.

This is the Level 2 BLAS version of the algorithm.

Parameters

UPLO

UPLO is CHARACTER*1
Specifies whether the matrix A is upper or lower triangular.
= ā€™Uā€™: Upper triangular
= ā€™Lā€™: Lower triangular

DIAG

DIAG is CHARACTER*1
Specifies whether or not the matrix A is unit triangular.
= ā€™Nā€™: Non-unit triangular
= ā€™Uā€™: Unit triangular

N

N is INTEGER
The order of the matrix A. N >= 0.

A

A is COMPLEX*16 array, dimension (LDA,N)
On entry, the triangular matrix A. If UPLO = ā€™Uā€™, the
leading n by n upper triangular part of the array A contains
the upper triangular matrix, and the strictly lower
triangular part of A is not referenced. If UPLO = ā€™Lā€™, the
leading n by n lower triangular part of the array A contains
the lower triangular matrix, and the strictly upper
triangular part of A is not referenced. If DIAG = ā€™Uā€™, the
diagonal elements of A are also not referenced and are
assumed to be 1.

On exit, the (triangular) inverse of the original matrix, in
the same storage format.

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 = -k, the k-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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