Title : Factored sparse approximate inverse of block tridiagonal and block pentadiagonal matricies ( Factored sparse approximate inverse of block tridiagonal and block pentadiagonal matrices )
Authors: sayyed mohammad hoseini paein koulaei , Faezeh Toutounian Mashhad ,
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Abstract
his paper is concerned with approaches to compute a factored sparse approximate inverse for block tridiagonal and block pentadiagonal matrices. Recurrence formulas are developed for computing sparse approximate inverse factors of these matrices using bordering technique. Resulting factored sparse approximate inverse is used as a preconditioner for the conjugate gradient method (PCG). As an application these formulas are simplified for computing the preconditioner for solving Lyapanuv matrix equations by PCG method. Numerical experiments on linear system, arising from discretization of partial differential equations are presented
Keywords
Factored sparse approximate inverse of block tridiagonal and block pentadiagonal matrices
@article{paperid:203670,
author = {Hoseini Paein Koulaei, Sayyed Mohammad and Toutounian Mashhad, Faezeh},
title = {Factored sparse approximate inverse of block tridiagonal and block pentadiagonal matricies},
journal = {Applied Mathematics and Computation},
year = {2007},
number = {127},
month = {March},
issn = {0096-3003},
pages = {223--234},
numpages = {11},
keywords = {Factored sparse approximate inverse of block tridiagonal and block pentadiagonal matrices},
}
%0 Journal Article
%T Factored sparse approximate inverse of block tridiagonal and block pentadiagonal matricies
%A Hoseini Paein Koulaei, Sayyed Mohammad
%A Toutounian Mashhad, Faezeh
%J Applied Mathematics and Computation
%@ 0096-3003
%D 2007
