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modifiedbernoulliiterationmethodsforquadraticmatrixequation
ZhongZhiBai; YongHua Gao
2007
Source Publicationjournalofcomputationalmathematics
ISSN0254-9409
Volume25Issue:5Pages:498
AbstractWe 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.
Language英语
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/39068
Collection中国科学院数学与系统科学研究院
Affiliation中国科学院数学与系统科学研究院
Recommended Citation
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.
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