DTRTRI(1) LAPACK routine (version 3.2) DTRTRI(1)[top]NAMEDTRTRI - computes the inverse of a real upper or lower triangular matrix ASYNOPSISSUBROUTINE DTRTRI( UPLO, DIAG, N, A, LDA, INFO ) CHARACTER DIAG, UPLO INTEGER INFO, LDA, N DOUBLE PRECISION A( LDA, * )PURPOSEDTRTRI computes the inverse of a real upper or lower triangular matrix A. This is the Level 3 BLAS version of the algorithm.ARGUMENTSUPLO (input) CHARACTER*1 = 'U': A is upper triangular; = 'L': A is lower triangular. DIAG (input) CHARACTER*1 = 'N': A is non-unit triangular; = 'U': A is unit triangular. N (input) INTEGER The order of the matrix A. N >= 0. A (input/output) 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 ref‐ erenced. If DIAG = 'U', the diagonal elements of A are also not referenced and are assumed to be 1. On exit, the (triangu‐ lar) inverse of the original matrix, in the same storage for‐ mat. LDA (input) INTEGER The leading dimension of the array A. LDA >= max(1,N). INFO (output) INTEGER = 0: successful exit < 0: if INFO =, 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 (version 3.2) November 2008 DTRTRI(1)-i

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