The resultants method for approximating real fixed points of polynomials

被引：4

作者：

Syam, MI ^{[1
]}

机构：

[1] United Arab Emirates Univ, Dept Math & Comp Sci, Al Ain, U Arab Emirates

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2001年 / 41卷 / 7-8期

关键词：

fixed points; resultant matrix; Lanczos method; sparse matrix;

D O I：

10.1016/S0898-1221(00)00326-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a new method for computing the real fixed points of polynomials using the resultants method. It is based on the theory of multi-resultants. The unstable calculation of the determinant of the large sparse matrix is replaced by a stable minimization problem using the Lanczos method. This technique will be able to take advantage of the sparseness of the resultant matrix. Algorithms and numerical results are presented. (C) 2001 Elsevier Science Ltd. All rights reserved.

引用

页码：879 / 891

页数：13

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