Real Fast Structure-Preserving Algorithm for Eigenproblem of Complex Hermitian Matrices

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	Real Fast Structure-Preserving Algorithm for Eigenproblem of Complex Hermitian Matrices
	Lai, Jiangzhou ; Lu, Linzhang ; Lu LZ(卢琳璋)
刊名	http://dx.doi.org/10.1155/2013/438320
	2013
关键词	QUADRATIC EIGENVALUE PROBLEMS
英文摘要	National Natural Science Foundation of China [11101087, 10261012]; Research Start Foundation of Fuzhou University [022427, 600629]; It is well known that the flops for complex operations are usually 4 times of real cases. In the paper, using real operations instead of complex, a real fast structure-preserving algorithm for eigenproblem of complex Hermitian matrices is given. We make use of the real symmetric and skew-Hamiltonian structure transformed by Wilkinson's way, focus on symplectic orthogonal similarity transformations and their structure-preserving property, and then reduce it into a two-by-two block tridiagonal symmetric matrix. Finally a real algorithm can be quickly obtained for eigenvalue problems of the original Hermitian matrix. Numerical experiments show that the fast algorithm can solve real complex Hermitian matrix efficiently, stably, and with high precision.
语种	英语
出版者	HINDAWI PUBLISHING CORPORATION
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91222]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Lai, Jiangzhou,Lu, Linzhang,Lu LZ. Real Fast Structure-Preserving Algorithm for Eigenproblem of Complex Hermitian Matrices[J]. http://dx.doi.org/10.1155/2013/438320,2013.
APA	Lai, Jiangzhou,Lu, Linzhang,&卢琳璋.(2013).Real Fast Structure-Preserving Algorithm for Eigenproblem of Complex Hermitian Matrices.http://dx.doi.org/10.1155/2013/438320.
MLA	Lai, Jiangzhou,et al."Real Fast Structure-Preserving Algorithm for Eigenproblem of Complex Hermitian Matrices".http://dx.doi.org/10.1155/2013/438320 (2013).