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Milestones in the Development of Iterative Solution Methods
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SYSNO ASEP 0353487 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Ostatní články Title Milestones in the Development of Iterative Solution Methods Author(s) Axelsson, Owe (UGN-S) RID Number of authors 1 Source Title Journal of Electrical and Computer Engineering - ISSN 2090-0147
Roč. 2010, - (2010), s. 1-33Number of pages 33 s. Publication form www - www Language eng - English Country US - United States Keywords iterative solution methods ; convergence acceleration methods ; linear systems Subject RIV JC - Computer Hardware ; Software CEZ AV0Z30860518 - UGN-S (2005-2011) DOI 10.1155/2010/972794 Annotation Iterative solution methods to solve linear systems of equations were originally formulated as basic iteration methods of defectcorrection type, commonly referred to as Richardson’s iteration method. These methods developed further into various versions of splitting methods, including the successive overrelaxation (SOR) method.Later, immensely important developments included convergence acceleration methods, such as the Chebyshev and conjugate gradient iteration methods and preconditioning methods of various forms. A major strive has been to find methods with total computational complexity of optimal order, that is, proportional to the degrees of freedom involved in the equation. Methods that we have turned out to have been particularly important for the further developments of linear equation solvers are surveyed. Some if them are presented in greater detail. Workplace Institute of Geonics Contact Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Year of Publishing 2011
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