Art

J-GLOBAL ID：200902243619309504   Reference number：09A0876324

A numerical method for nonlinear eigenvalue problems using contour integrals

閉曲線積分を用いた非線形固有値問題の数値解法

Author (5)： ASAKURA Junko (Res. and Dev. Div., Square Enix Co. Ltd.) ,  SAKURAI Tetsuya (Dep. of Computer Sci., Univ. of Tsukuba) ,  TADANO Hiroto (Dep. of Computer Sci., Univ. of Tsukuba) ,  IKEGAMI Tsutomu (Information Technol. Res. Inst., AIST) ,  KIMURA Kinji (Graduate School of Informatics, Kyoto Univ.)
Material： JSIAM Letters (Web)  (JSIAM Lett (Web))
Volume： 1  Page： 52-55 (J-STAGE)  Publication year： 2009 
JST Material Number： U0115A  ISSN： 1883-0617  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： *eigenvalue problem ,  integral equation ,  *nonlinearity ,  numerical solution ,  numerical integration ,  matrix (mathematics) ,  eigenvalue ,  integral transformation

JST classification (1)： Applied mathematics  (AB11000P)

Reference (6)：

• [1] B. Liao, Subspace projection methods for model order reduction and nonlinear eigenvalue computation, PhD thesis, Department of mathematics, Univ. of California at Davis, 2007.
• [2] E. Jarlebring, The spectrum of delay-differential equations: numerical methods, stability and perturbation, PhD thesis, Inst. Comp. Math, TU Braunschweig, 2008.
• [3] T. Sakurai and H. Sugiura, A projection method for generalized eigenvalue problems, J. Comput. Appl. Math., 159 (2003) 119-128.
• [4] J. Asakura, T. Sakurai, H. Tadano, T. Ikegami and K. Kimura, A numerical method for polynomial eigenvalue problems using contour integral, submitted.
• [5] I. Gohberg and L. Rodman, Analytic matrix functions with prescribed local data, J. d'Analyse Mathématique, 40 (1981) 90-128.

Terms in the title (3)： 非線形 ,  固有値問題 ,  数値解法