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	A Jacobi-Davidson type method for computing real eigenvalues of the quadratic eigenvalue problem
	Li, Hao ; Cai, Yunfeng
	2016
关键词	Quadratic eigenvalue problem Jacobi-Davidson method Real eigenvalue MATRIX POLYNOMIALS ITERATION METHOD ALGORITHM SYSTEMS
英文摘要	This paper presents a new Jacobi-Davidson type method to compute several real eigenvalues of the Hermitian quadratic eigenvalue problem. This method uses a simple index to sort the eigenvalues of the projected quadratic eigenvalue problem and extracts the approximate eigenvectors for the quadratic eigenvalue problem with the eigenvectors of the projected quadratic eigenvalue problem corresponding to the eigenvalues with the smallest indices. Numerical examples show that our method is effective and efficient to compute real eigenvalues of the Hermitian quadratic eigenvalue problem.; SCI(E); ARTICLE; lihao.5558@pku.edu.cn; yfcai@math.pku.edu.cn; 4; 737-749; 53
语种	英语
出处	SCI
出版者	CALCOLO
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/458311]
专题	数学科学学院
推荐引用方式 GB/T 7714	Li, Hao,Cai, Yunfeng. A Jacobi-Davidson type method for computing real eigenvalues of the quadratic eigenvalue problem. 2016-01-01.

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