DTRTRI(3) LAPACK routine of NEC Numeric Library Collection DTRTRI(3) NAME DTRTRI SYNOPSIS SUBROUTINE DTRTRI (UPLO, DIAG, N, A, LDA, INFO) PURPOSE DTRTRI computes the inverse of a real upper or lower triangular matrix A. This is the Level 3 BLAS version of the algorithm. ARGUMENTS UPLO (input) UPLO is CHARACTER*1 = 'U': A is upper triangular; = 'L': A is lower triangular. DIAG (input) DIAG is CHARACTER*1 = 'N': A is non-unit triangular; = 'U': A is unit triangular. N (input) N is INTEGER The order of the matrix A. N >= 0. A (input/output) A is DOUBLE PRECISION 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. On exit, the (triangular) inverse of the original matrix, in the same storage format. LDA (input) LDA is INTEGER The leading dimension of the array A. LDA >= max(1,N). INFO (output) INFO is INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: if INFO = i, A(i,i) is exactly zero. The triangular matrix is singular and its inverse can not be computed. LAPACK routine 31 October 2017 DTRTRI(3)