Polish mathematician Woznicki (1937-2008) was one of the founders of incomplete factorization algorithms and the associated iterative methods, and this account of his later work was in nearly finished form when he died unexpectedly. It is devoted to the description and convergence analysis of iterative methods based on matrix splittings and their implementation in mesh structures. Matrix splitting iterative methods are especially attractive for solving linear equations with non-symmetric matrices, he says, because they yield more accurate solutions with significantly less computations work than Krylov subspace methods. He pays special attention to developing efficient techniques for a priori estimations of optimal acceleration parameters, which can be useful tools for solving many practical problems. A new small publisher specializing in mathematics, Matrix Editions has scored a coup with this title. Annotation ©2010 Book News, Inc., Portland, OR (booknews.com)
