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	CONVERGENCE ANALYSIS OF THE DOUBLING ALGORITHM FOR SEVERAL NONLINEAR MATRIX EQUATIONS IN THE CRITICAL CASE
	Chiang, Chun-Yueh ; Chu, Eric King-Wah ; Guo, Chun-Hua ; Huang, Tsung-Ming ; Lin, Wen-Wei ; Xu, Shu-Fang
	2009
关键词	nonlinear matrix equation minimal nonnegative solution maximal positive definite solution critical case doubling algorithm cyclic reduction convergence rate ALGEBRAIC RICCATI-EQUATIONS POSITIVE-DEFINITE SOLUTION BIRTH-DEATH PROCESSES POLYNOMIAL EQUATIONS REDUCTION ALGORITHM ITERATIVE SOLUTION QUEUING-PROBLEMS MARKOV-CHAINS EXISTENCE
英文摘要	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.; Mathematics, Applied; SCI(E); EI; 26; ARTICLE; 2; 227-247; 31
语种	英语
出处	SCI ; EI
出版者	siam journal on matrix analysis and applications
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/396877]
专题	数学科学学院
推荐引用方式 GB/T 7714	Chiang, Chun-Yueh,Chu, Eric King-Wah,Guo, Chun-Hua,et al. CONVERGENCE ANALYSIS OF THE DOUBLING ALGORITHM FOR SEVERAL NONLINEAR MATRIX EQUATIONS IN THE CRITICAL CASE. 2009-01-01.

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