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Milestones in the Development of Iterative Solution Methods
Author
Source
Journal of Electrical and Computer Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-33, 33 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-12-09
Country of Publication
Egypt
No. of Pages
33
Main Subjects
Engineering Sciences and Information Technology
Information Technology and Computer Science
Abstract EN
Iterative solution methods to solve linear systems of equations were originally formulated as basic iteration methods of defect-correction 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 a total computational complexity of optimal order, that is, proportional to the degrees of freedom involved in the equation.
Methods that have turned out to have been particularly important for the further developments of linear equation solvers are surveyed.
Some of them are presented in greater detail.
American Psychological Association (APA)
Axelsson, Owe. 2010. Milestones in the Development of Iterative Solution Methods. Journal of Electrical and Computer Engineering،Vol. 2010, no. 2010, pp.1-33.
https://search.emarefa.net/detail/BIM-512594
Modern Language Association (MLA)
Axelsson, Owe. Milestones in the Development of Iterative Solution Methods. Journal of Electrical and Computer Engineering No. 2010 (2010), pp.1-33.
https://search.emarefa.net/detail/BIM-512594
American Medical Association (AMA)
Axelsson, Owe. Milestones in the Development of Iterative Solution Methods. Journal of Electrical and Computer Engineering. 2010. Vol. 2010, no. 2010, pp.1-33.
https://search.emarefa.net/detail/BIM-512594
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-512594