Minimum Deviation , Quasi - Lu Factorization of Nonsingular Matrices

Abstract

Not all matrices enjoy the existence of an LU factorization. For those that do not, a number of " repairs " are possible. For nonsingular matrices we offer here a permutation-free repair in which the matrix is factored˜L˜U , with˜L and˜U collectively as near as possible to lower and upper triangular (in a natural sense defined herein). Such factorization is… (More)

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