Fletcher R. (1997), Dense Factors of Sparse Matrices, in Approximation Theory and Optimization. Tributes to M.J.D. Powell , (M.D. Buhmann and A. Iserles, eds.), Cambridge University Press.  Home/Search   Document Details and Download   Summary   Related Articles

....for the direct solution of a nonsingular linear system. However there is an alternative approach referred to as implicit LU factors, which is equally effective for dense systems, and about which there are many relevant papers, yet which is not at all well known. This method is reviewed by Fletcher [3], where many other references are given. It is shown in [3] that implicit LU factors enable systems with both A and A T to be solved, and it may be that this feature has not been fully recognised in previous work, most of which concentrates on the suitability of the factors for use in an ....

....there is an alternative approach referred to as implicit LU factors, which is equally effective for dense systems, and about which there are many relevant papers, yet which is not at all well known. This method is reviewed by Fletcher [3] where many other references are given. It is shown in [3] that implicit LU factors enable systems with both A and A T to be solved, and it may be that this feature has not been fully recognised in previous work, most of which concentrates on the suitability of the factors for use in an iterative method. In the method of implicit LU factors, a unit ....

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Fletcher R. (1997), Dense Factors of Sparse Matrices, in Approximation Theory and Optimization. Tributes to M.J.D. Powell , (M.D. Buhmann and A. Iserles, eds.), Cambridge University Press.

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