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DSYTRI(l)) DSYTRI(l)NAMEDSYTRI - compute the inverse of a real symmetric indefinite matrix A using the factoriza- tion A = U*D*U**T or A = L*D*L**T computed by DSYTRFSYNOPSISSUBROUTINE DSYTRI( UPLO, N, A, LDA, IPIV, WORK, INFO ) CHARACTER UPLO INTEGER INFO, LDA, N INTEGER IPIV( * ) DOUBLE PRECISION A( LDA, * ), WORK( * )PURPOSEDSYTRI computes the inverse of a real symmetric indefinite matrix A using the factoriza- tion A = U*D*U**T or A = L*D*L**T computed by DSYTRF.ARGUMENTSUPLO (input) CHARACTER*1 Specifies whether the details of the factorization are stored as an upper or lower triangular matrix. = 'U': Upper triangular, form is A = U*D*U**T; = 'L': Lower triangular, form is A = L*D*L**T. N (input) INTEGER The order of the matrix A. N >= 0. A (input/output) DOUBLE PRECISION array, dimension (LDA,N) On entry, the block diagonal matrix D and the multipliers used to obtain the fac- tor U or L as computed by DSYTRF. On exit, if INFO = 0, the (symmetric) inverse of the original matrix. If UPLO = 'U', the upper triangular part of the inverse is formed and the part of A below the diagonal is not referenced; if UPLO = 'L' the lower triangular part of the inverse is formed and the part of A above the diagonal is not referenced. LDA (input) INTEGER The leading dimension of the array A. LDA >= max(1,N). IPIV (input) INTEGER array, dimension (N) Details of the interchanges and the block structure of D as determined by DSYTRF. WORK (workspace) DOUBLE PRECISION array, dimension (N) INFO (output) INTEGER = 0: successful exit < 0: if INFO =, the i-th argument had an illegal value > 0: if INFO = i, D(i,i) = 0; the matrix is singular and its inverse could not be computed.-iLAPACK version 3.015 June 2000 DSYTRI(l)

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