An Optimized Iterative Method for Numerical Solution of Large Systems of Equations Based on the Extremal Property of Zeroes of Chebyshev Polynomials

被引：2
|
作者：
Podvigina O.M. [1 ]
Zheligovsky V.A. [1 ]
机构：
[1] School of Mathematics and Statistics, University of Sydney, DX 1154, Sydney
来源：
Journal of Scientific Computing | 1997年 / 12卷 / 4期
基金：
澳大利亚研究理事会;
关键词：
Chebyshev polynomials; Maximal eigenvalue; Nonlinear system of equations; Numerical solution;
D O I：
10.1023/A:1025681013942
中图分类号：
学科分类号：
摘要：
An iterative method suitable for numerical solution of large systems of equations is presented. An extremal property of the Chebyshev polynomials is established, providing a logical foundation for the proposed procedure. A modification of the method is applicable for evaluation of the maximal eigenvalue of a matrix with real eigenvalues and of the associated eigenvector.
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页码：433 / 464
页数：31
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