Excellence in Research and Innovation for Humanity
%0 Journal Article
%A Xian Ming Gu and  Ting Zhu Huang and  Hou Biao Li
%D 2013 
%J  International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering
%B World Academy of Science, Engineering and Technology
%I International Science Index 76, 2013
%T Some Preconditioners for Block Pentadiagonal Linear Systems Based on New Approximate Factorization Methods
%U http://waset.org/publications/17064
%V 76
%X In this paper, getting an high-efficiency parallel algorithm to solve sparse block pentadiagonal linear systems suitable for vectors and parallel processors, stair matrices are used to construct some parallel polynomial approximate inverse preconditioners. These preconditioners are appropriate when the desired target is to maximize parallelism. Moreover, some theoretical results about these preconditioners are presented and how to construct preconditioners effectively for any nonsingular block pentadiagonal H-matrices is also described. In addition, the availability of these preconditioners is illustrated with some numerical experiments arising from two dimensional biharmonic equation.

%P 747 - 754