# Convergence Analysis of the Doubling Algorithm for Several Nonlinear Matrix Equations in the Critical Case

 dc.contributor.author Chiang, Chun-Yueh dc.contributor.author Chu, Eric King-Wah dc.contributor.author Guo, Chun-Hua dc.contributor.author Huang, Tsung-Ming dc.contributor.author Lin, Wen-Wei dc.contributor.author Xu, Shu-Fang dc.date.accessioned 2014-04-28T01:48:07Z dc.date.available 2014-04-28T01:48:07Z dc.date.issued 2009 dc.identifier.citation SIAM J. Matrix Anal. Appl. en_US dc.identifier.uri http://hdl.handle.net/10294/5269 dc.description.abstract In this paper, we review two types of doubling algorithm and some en_US 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. dc.description.sponsorship NSERC, NSC (Taiwan), NCTS (Taiwan) en_US dc.language.iso en en_US dc.publisher SIAM en_US dc.title Convergence Analysis of the Doubling Algorithm for Several Nonlinear Matrix Equations in the Critical Case en_US dc.type Article en_US dc.description.authorstatus Faculty en_US dc.description.peerreview yes en_US
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