Two families of the simple iteration method, in comparison

Sorokin P.N., Chentsova N.N.
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Convergence to the solution of the linear system with real quadrate non singular matrix A with real necessary different sign eigen values of two families of simple iteration method: two-parametric and symmetrized one-parametric generated by these A and b is considered. Also these methods are compared when matrix A is a symmetric one. In this case it is proved that the coefficient of the optimal compression of two-parametric family is strongly less than the coefficient of the optimal compression of symmetrized one-parametric family of the simple iteration method.

Keywords: simple iteration method, symmetric matrix
Citation in English: Sorokin P.N., Chentsova N.N. Two families of the simple iteration method, in comparison // Computer Research and Modeling, 2012, vol. 4, no. 1, pp. 5-29
Citation in English: Sorokin P.N., Chentsova N.N. Two families of the simple iteration method, in comparison // Computer Research and Modeling, 2012, vol. 4, no. 1, pp. 5-29
DOI: 10.20537/2076-7633-2012-4-1-5-29
URL: http://crm-en.ics.org.ru/journal/article/1852/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.
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