modifiedbernoulliiterationmethodsforquadraticmatrixequation

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	modifiedbernoulliiterationmethodsforquadraticmatrixequation
	ZhongZhiBai; YongHua Gao
	2007
发表期刊	journalofcomputationalmathematics
ISSN	0254-9409
卷号	25 期号:5 页码:498
摘要	We construct a modified Bernoulli iteration method for solving the quadratic matrix equation AX(2) + BX + C = 0, where A, B and C are square matrices. This method is motivated from the Gauss-Seidel iteration for solving linear systems and the Sherman-Morrison-Woodbury formula for updating matrices. Under suitable conditions, we prove the local linear convergence of the new method. An algorithm is presented to find the solution of the quadratic matrix equation and some numerical results are given to show the feasibility and the effectiveness of the algorithm. In addition, we also describe and analyze the block version of the modified Bernoulli iteration method.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/39068
专题	中国科学院数学与系统科学研究院
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	ZhongZhiBai,YongHua Gao. modifiedbernoulliiterationmethodsforquadraticmatrixequation[J]. journalofcomputationalmathematics,2007,25(5):498.
APA	ZhongZhiBai,&YongHua Gao.(2007).modifiedbernoulliiterationmethodsforquadraticmatrixequation.journalofcomputationalmathematics,25(5),498.
MLA	ZhongZhiBai,et al."modifiedbernoulliiterationmethodsforquadraticmatrixequation".journalofcomputationalmathematics 25.5(2007):498.