Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642906 | Journal of Computational and Applied Mathematics | 2007 | 10 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
M.H. Koulaei, F. Toutounian,