Iterative algorithms for nonlinear ordinary differential eigenvalue problems

doi:10.1016/S0168-9274(01)00043-5

Details of Research Outputs

Status	已发表Published
Title	Iterative algorithms for nonlinear ordinary differential eigenvalue problems
Creator	Sun, Weiwei; Liu, Kam-Moon
Date Issued	2001
Source Publication	Applied Numerical Mathematics
ISSN	0168-9274
Volume	38 Issue:3 Pages:361-376
Abstract	A Newton-type iterative algorithm is developed for solving a class of nonlinear eigenvalue problems. This algorithm is based on solving an algebraic equation β(λ) = 0 which is defined implicitly. We show that the β(λ) in our algorithm is analytic in the area of interest and can be evaluated by solving a block bi-diagonal system. Also the Argument Principle is employed in determining the eigenvalue distribution. Numerical results for both linear and nonlinear problems are given. © 2001 IMACS. Published by Elsevier Science B.V. All rights reserved.
Keyword	Argument Principle Newton's iteration Nonlinear eigenvalue calculation
DOI	10.1016/S0168-9274(01)00043-5
URL	View source
Indexed By	SCIE
Language	英语English
WOS Research Area	Mathematics
WOS Subject	Mathematics, Applied
WOS ID	WOS:000170242800007
Citation statistics	Cited Times:5[WOS] [WOS Record] [Related Records in WOS]
Document Type	Journal article
Identifier	http://repository.uic.edu.cn/handle/39GCC9TT/3301
Collection	Research outside affiliated institution
Corresponding Author	Sun, Weiwei
Affiliation	Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong
Recommended Citation GB/T 7714	Sun, Weiwei,Liu, Kam-Moon. Iterative algorithms for nonlinear ordinary differential eigenvalue problems[J]. Applied Numerical Mathematics, 2001, 38(3): 361-376.
APA	Sun, Weiwei, & Liu, Kam-Moon. (2001). Iterative algorithms for nonlinear ordinary differential eigenvalue problems. Applied Numerical Mathematics, 38(3), 361-376.
MLA	Sun, Weiwei,et al."Iterative algorithms for nonlinear ordinary differential eigenvalue problems". Applied Numerical Mathematics 38.3(2001): 361-376.

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