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SUBROUTINE ZGETRI( N, A, LDA, IPIV, WORK, LWORK, INFO ) 016: * Purpose 017: * ======= 018: * 019: * ZGETRI computes the inverse of a matrix using the LU factorization 020: * computed by ZGETRF. 021: * 022: * This method inverts U and then computes inv(A) by solving the system 023: * inv(A)*L = inv(U) for inv(A). 024: * 025: * Arguments 026: * ========= 027: * 028: * N (input) INTEGER 029: * The order of the matrix A. N >= 0. 030: * 031: * A (input/output) COMPLEX*16 array, dimension (LDA,N) 032: * On entry, the factors L and U from the factorization 033: * A = P*L*U as computed by ZGETRF. 034: * On exit, if INFO = 0, the inverse of the original matrix A. 035: * 036: * LDA (input) INTEGER 037: * The leading dimension of the array A. LDA >= max(1,N). 038: * 039: * IPIV (input) INTEGER array, dimension (N) 040: * The pivot indices from ZGETRF; for 1<=i<=N, row i of the 041: * matrix was interchanged with row IPIV(i). 042: * 043: * WORK (workspace/output) COMPLEX*16 array, dimension (MAX(1,LWORK)) 044: * On exit, if INFO=0, then WORK(1) returns the optimal LWORK. 045: * 046: * LWORK (input) INTEGER 047: * The dimension of the array WORK. LWORK >= max(1,N). 048: * For optimal performance LWORK >= N*NB, where NB is 049: * the optimal blocksize returned by ILAENV. 050: * 051: * If LWORK = -1, then a workspace query is assumed; the routine 052: * only calculates the optimal size of the WORK array, returns 053: * this value as the first entry of the WORK array, and no error 054: * message related to LWORK is issued by XERBLA. 055: * 056: * INFO (output) INTEGER 057: * = 0: successful exit 058: * < 0: if INFO = -i, the i-th argument had an illegal value 059: * > 0: if INFO = i, U(i,i) is exactly zero; the matrix is 060: * singular and its inverse could not be computed. 061: * 062: * ===================================================================== http://www.netlib.org/lapack/explore-html/zgetri.f.html |

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