Excerpt from Convergence of a Two-Stage Richardson Iterative Procedure for Solving Systems of Linear Equations One motivation for our work is that the two-stage method can be effectively used to solve nonsymmetric systems where M is symmetric positive definite and N is skewfsymmetric. In this case the symmetric/ skew-symmetric splitting A -n: is used to precondition the outer itera tion, and a symmetric splitting-m ml-m2 can be used to precondition each inner iteration, using a direct method to solve a system of the form ...
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Excerpt from Convergence of a Two-Stage Richardson Iterative Procedure for Solving Systems of Linear Equations One motivation for our work is that the two-stage method can be effectively used to solve nonsymmetric systems where M is symmetric positive definite and N is skewfsymmetric. In this case the symmetric/ skew-symmetric splitting A -n: is used to precondition the outer itera tion, and a symmetric splitting-m ml-m2 can be used to precondition each inner iteration, using a direct method to solve a system of the form Mly c at each step of-each inner iteration. (see Manteuffel (1977) for alternative approaches for nonsymmetric systems.) Numerical results from applying the Richardson method to such nonsymmetric systems are given in Section 3. We also present-numerical results using the conjugate gradient method for the outer iteration. Analysis of the latter procedure would be very interesting, but this seems more diffi cult. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at ... This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Add this copy of Convergence of a Two-Stage Richardson Iterative to cart. $40.36, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2011 by Nabu Press.
Add this copy of Convergence of a Two-Stage Richardson Iterative to cart. $60.11, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2018 by Forgotten Books.
