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Improved Newton’s method with exact line searches to solve quadratic matrix equation

✍ Scribed by Jian-hui Long; Xi-yan Hu; Lei Zhang

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 478 KB
Volume: 222
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2007.12.018

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✦ Synopsis

In this paper, we study the matrix equation AX 2 + B X + C = 0, where A, B and C are square matrices. We give two improved algorithms which are better than Newton's method with exact line searches to calculate the solution. Some numerical examples are reported to illustrate our algorithms.