<?xml version="1.0" encoding="UTF-8"?> <article key="pdf/6349" mdate="2009-07-23 00:00:00"> <author>Yusuke Onoue and Seiji Fujino and Norimasa Nakashima</author> <title>Improved IDR(s) Method for Gaining Very Accurate Solutions</title> <pages>1806 - 1811</pages> <year>2009</year> <volume>3</volume> <number>7</number> <journal>International Journal of Computer and Information Engineering</journal> <ee>https://publications.waset.org/pdf/6349</ee> <url>https://publications.waset.org/vol/31</url> <publisher>World Academy of Science, Engineering and Technology</publisher> <abstract>The IDR(s) method based on an extended IDR theorem was proposed by Sonneveld and van Gijzen. The original IDR(s) method has excellent property compared with the conventional iterative methods in terms of efficiency and small amount of memory. IDR(s) method, however, has unexpected property that relative residual 2norm stagnates at the level of less than 1012. In this paper, an effective strategy for stagnation detection, stagnation avoidance using adaptively information of parameter s and improvement of convergence rate itself of IDR(s) method are proposed in order to gain high accuracy of the approximated solution of IDR(s) method. Through numerical experiments, effectiveness of adaptive tuning IDR(s) method is verified and demonstrated. </abstract> <index>Open Science Index 31, 2009</index> </article>