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This article presents rigorous normwise perturbation bounds for the Cholesky, LU and QR factorizations with normwise or componentwise perturbations in the given matrix. The conside...
An implementation of a parallel ScaLAPACK-style solver for the general Sylvester equation, op(A)X −Xop(B) = C, where op(A) denotes A or its transpose AT , is presented. The paral...