A globally convergent variant of mid-point method for finding the matrix sign

被引：3

作者：

Zainali, Nahid ^{[1
]}

Lotfi, Taher ^{[1
]}

机构：

[1] Islamic Azad Univ, Hamedan Branch, Dept Math, Hamadan, Iran

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2018年 / 37卷 / 05期

关键词：

Matrix sign; Mid-point method; Global convergence; Iterative methods; High order; 65F60; ALGORITHMS; EQUATIONS;

D O I：

10.1007/s40314-018-0654-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this research, an efficient variant of mid-point iterative method is given for computing the sign of a square complex matrix having no pure imaginary eigenvalues. It is proven that the method is new and has global convergence with high order of convergence seven. To justify the effectiveness of the new scheme, several comparisons for matrices of different sizes are worked out to show that the new method is efficient.

引用

页码：5795 / 5806

页数：12

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