Title : On computing of block ILU preconditioner for block tridiagonal systems ( On computing of block ILU preconditioner for block tridiagonal systems )
Authors: sayyed mohammad hoseini paein koulaei , Faezeh Toutounian Mashhad ,
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Abstract
We present the recurrence formulas for computing the approximate inverse factors of tridiagonal and pentadiagonal matrices using bordering technique. Resulting algorithms are used to approximate the inverse of pivot blocks needed for constructing block ILU preconditioners for solving the block tridiagonal linear systems, arising from discretization of partial differential equations. Resulting preconditioners are suitable for parallel implementation. Comparison with other methods are also included.
Keywords
Krylov subspace methods; Factored approximate inverses; Block ILU; Block tridiagonal matrices
@article{paperid:203669,
author = {Hoseini Paein Koulaei, Sayyed Mohammad and Toutounian Mashhad, Faezeh},
title = {On computing of block ILU preconditioner for block tridiagonal systems},
journal = {Journal of Computational and Applied Mathematics},
year = {2007},
number = {127},
month = {March},
issn = {0377-0427},
pages = {247--257},
numpages = {10},
keywords = {Krylov subspace methods; Factored approximate inverses; Block ILU; Block tridiagonal matrices},
}
%0 Journal Article
%T On computing of block ILU preconditioner for block tridiagonal systems
%A Hoseini Paein Koulaei, Sayyed Mohammad
%A Toutounian Mashhad, Faezeh
%J Journal of Computational and Applied Mathematics
%@ 0377-0427
%D 2007
