A fourth-order method for computing the sign function of a matrix with application in the Yang–Baxter-like matrix equation

被引：0
|
作者：
Fazlollah Soleymani
Ashim Kumar
机构：
[1] Institute for Advanced Studies in Basic Sciences (IASBS),Department of Mathematics
[2] Panjab University Constituent College,Department of Mathematics
[3] I.K. Gujral Punjab Technical University Jalandhar,undefined
来源：
Computational and Applied Mathematics | 2019年 / 38卷
关键词：
Yang–Baxter-like; Matrix sign function; Convergence analysis; Iteration scheme; Eigenvalues; 65F60; 15A24;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this study, first we derive a novel iteration scheme for the sign of a matrix with no pure imaginary eigenvalues. The fourth-order convergence speed of this scheme is given in detail. Secondly, we extend the obtained results so as to calculate the solution of the Yang–Baxter-like equation for the matrix A with no pure imaginary eigenvalues. Some numerical tests are also furnished to manifest the applicability of our method.
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