?trti2

Computes the inverse of a triangular matrix (unblocked algorithm).

Syntax

call strti2( uplo, diag, n, a, lda, info )

call dtrti2( uplo, diag, n, a, lda, info )

call ctrti2( uplo, diag, n, a, lda, info )

call ztrti2( uplo, diag, n, a, lda, info )

Include Files

The FORTRAN 77 interfaces are specified in the mkl_lapack.fi include file (to be used in Fortran programs) and in the mkl_lapack.h include file (to be used in C programs).

Description

The routine ?trti2 computes the inverse of a real/complex upper or lower triangular matrix.

This is the Level 2 BLAS version of the algorithm.

Input Parameters

uplo

CHARACTER*1.

Specifies whether the matrix A is upper or lower triangular.

= 'U': upper triangular

= 'L': lower triangular

diag

CHARACTER*1.

Specifies whether or not the matrix A is unit triangular.

= 'N': non-unit triangular

n

INTEGER. The order of the matrix A. n ≥ 0.

a

REAL for strti2

DOUBLE PRECISION for dtrti2

COMPLEX for ctrti2

DOUBLE COMPLEX for ztrti2.

Array, DIMENSION (lda, n).

On entry, the triangular matrix A.

If uplo = 'U', 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 = 'L', 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 = 'U', the diagonal elements of a are also not referenced and are assumed to be 1.

lda

INTEGER. The leading dimension of the array a. lda ≥ max(1,n).

Output Parameters

a

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

info

INTEGER.

= 0: successful exit

< 0: if info = -k, the k-th argument had an illegal value