Convergence analysis of the doubling algorithm for several nonlinear matrix equations in the critical case

Chun Yueh Chiang, Eric King Wah Chu, Chun Hua Guo, Tsung Ming Huang, Wen Wei Lin, Shu Fang Xu

研究成果: 雜誌貢獻文章

44 引文 斯高帕斯(Scopus)

摘要

In this paper, we review two types of doubling algorithm and some techniques for analyzing them. We then use the techniques to study the doubling algorithm for three different nonlinear matrix equations in the critical case. We show that the convergence of the doubling algorithm is at least linear with rate 1/2. As compared to earlier work on this topic, the results we present here are more general, and the analysis here is much simpler.

原文英語
頁(從 - 到)227-247
頁數21
期刊SIAM Journal on Matrix Analysis and Applications
31
發行號2
DOIs
出版狀態已發佈 - 2009 十二月 28

ASJC Scopus subject areas

  • Analysis

指紋 深入研究「Convergence analysis of the doubling algorithm for several nonlinear matrix equations in the critical case」主題。共同形成了獨特的指紋。

  • 引用此