@article {
author = {Rafiei, A. and Bollhoefer, M.},
title = {Complete pivoting strategy for the $IUL$ preconditioner obtained from Backward Factored APproximate INVerse process},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {43},
number = {5},
pages = {1417-1456},
year = {2017},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {In this paper, we use a complete pivoting strategy to compute the IUL preconditioner obtained as the by-product of the Backward Factored APproximate INVerse process. This pivoting is based on the complete pivoting strategy of the Backward IJK version of Gaussian Elimination process. There is a parameter $\alpha$ to control the complete pivoting process. We have studied the effect of different values of $\alpha$ on the quality of the IUL preconditioner. For the numerical experiments section, the IUL factorization which is coupled with the complete pivoting is compared to the ILUTP and to the left-looking version of RIF which is coupled with the complete pivoting strategy. As the preprocessing, we have applied the maximum weighted matching coupled the Reverse Cuthill-Mckee (RCM) and multilevel nested dissection reordering.},
keywords = {Backward factored APproximate INVerse,IUL preconditioner,backward IJK version of Gaussian elimination,complete pivoting,ILUTP,left-looking RIF with pivoting},
url = {http://bims.iranjournals.ir/article_1033.html},
eprint = {http://bims.iranjournals.ir/article_1033_a0a902a62988d3118f5b4b4d8b35504d.pdf}
}