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检索条件"主题词=two-parameter eigenvalue problem"
29 条 记 录,以下是1-10 订阅
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On linearizations of the quadratic two-parameter eigenvalue problem
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LINEAR ALGEBRA AND ITS APPLICATIONS 2012年 第8期436卷 2725-2743页
作者: Hochstenbach, Michiel E. Muhic, Andrej Plestenjak, Bor Inst Math Phys & Mech SI-1000 Ljubljana Slovenia TU Eindhoven Dept Math & Comp Sci NL-5600 MB Eindhoven Netherlands Univ Ljubljana Dept Math SI-1000 Ljubljana Slovenia
We present several transformations that can be used to solve the quadratic two-parameter eigenvalue problem (QMEP), by formulating an associated linear multiparameter eigenvalue problem. two of these transformations a... 详细信息
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A continuation method for a weakly elliptic two-parameter eigenvalue problem
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IMA JOURNAL OF NUMERICAL ANALYSIS 2001年 第1期21卷 199-216页
作者: Plestenjak, B Univ Ljubljana IMFM TCS SI-1000 Ljubljana Slovenia
We show that the continuation method can be used to solve a weakly elliptic two-parameter eigenvalue problem. We generalize the continuation method for a nonsymmetric eigenvalue problem Ax = lambdax by T. Y. Li, Z. Ze... 详细信息
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Asymptotic Behaviour of the Non-real Pair-eigenvalues of a two parameter eigenvalue problem
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COMPLEX ANALYSIS AND OPERATOR THEORY 2023年 第4期17卷 45-45页
作者: Ozturk, Hasen Mekki Ordu Univ Fac Arts & Sci Dept Math Ordu Turkiye
This article focuses on a symmetric block operator spectral problem with two spectral parameters. Under some reasonable restrictions, Levitin and ozturk showed that the real pair-eigenvalues of a two-parameter eigenva... 详细信息
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NONLINEARIZING two-parameter eigenvalue problemS
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SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 2021年 第2期42卷 775-799页
作者: Ringh, Emil Jarlebring, Elias KTH Royal Inst Technol SeRC Swedish E Sci Res Ctr Dept Math Lindstedtsvagen 25 SE-10044 Stockholm Sweden
We investigate a technique to transform a linear two-parameter eigenvalue problem into a nonlinear eigenvalue problem (NEP). The transformation stems from an elimination of one of the equations in the two-parameter ei... 详细信息
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Polynomial two-parameter eigenvalue problems and matrix pencil methods for stability of delay-differential equations
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LINEAR ALGEBRA AND ITS APPLICATIONS 2009年 第3-4期431卷 369-380页
作者: Jarlebring, Elias Hochstenbach, Michiel E. Katholieke Univ Leuven Dept Comp Sci B-3001 Heverlee Belgium Eindhoven Univ Technol Dept Math & Comp Sci NL-5600 MB Eindhoven Netherlands
Several recent methods used to analyze asymptotic stability of delay-differential equations (DDEs) involve determining the eigenvalues of a matrix, a matrix pencil or a matrix polynomial constructed by Kronecker produ... 详细信息
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Solving two-parameter eigenvalue problems using an alternating method
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LINEAR ALGEBRA AND ITS APPLICATIONS 2022年 643卷 137-160页
作者: Eisenmann, Henrik Nakatsukasa, Yuji Max Planck Inst Math Sci D-04103 Leipzig Germany Univ Oxford Math Inst Oxford OX2 6GG England
We present a new approach to compute selected eigenvalues and eigenvectors of the two-parameter eigenvalue problem. Our method requires computing generalized eigenvalue prob-lems of the same size as the matrices of th... 详细信息
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A two-Dimensional Bisection Method for Solving two-parameter eigenvalue problems
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SIAM Journal on Matrix Analysis and Applications 1992年 第4期13卷 1085-1093页
作者: Xingzhi Ji
It has long been known that separation of variables can be applied to the Helmholtz equation in 11 three-dimensional coordinate systems. As a result, a multiparameter eigenvalue problem is formed. In this paper, the w... 详细信息
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SOLVING SINGULAR GENERALIZED eigenvalue problemS BY A RANK-COMPLETING PERTURBATION
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SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 2019年 第3期40卷 1022-1046页
作者: Hochstenbach, Michiel E. Mehl, Christian Plestenjak, Bor TU Eindhoven Dept Math & Comp Sci NL-5600 MB Eindhoven Netherlands Tech Univ Berlin Inst Math Sekretariat MA 4-5 D-10623 Berlin Germany Univ Ljubljana Dept Math Ljubljana 1000 Slovenia
Generalized eigenvalue problems involving a singular pencil are very challenging to solve, with respect to both accuracy and efficiency. The existing package Guptri is very elegant but may be time-demanding, even for ... 详细信息
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HARMONIC RAYLEIGH-RITZ EXTRACTION FOR THE MULTIparameter eigenvalue problem
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ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS 2007年 29卷 81-96页
作者: Hochstenbach, Michiel E. Plestenjak, Bor Eindhoven Univ Technol Dept Math & Comp Sci NL-5600 MB Eindhoven Netherlands Univ Ljubljana Dept Math SI-1000 Ljubljana Slovenia
We study harmonic and refined extraction methods for the multiparameter eigenvalue problem. These techniques are generalizations of their counterparts for the standard and generalized eigenvalue problem. The methods a... 详细信息
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Spectral collocation for multiparameter eigenvalue problems arising from separable boundary value problems
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JOURNAL OF COMPUTATIONAL PHYSICS 2015年 298卷 585-601页
作者: Plestenjak, Bor Gheorghiu, Calin I. Hochstenbach, Michiel E. Univ Ljubljana IMFM Jadranska 19 SI-1000 Ljubljana Slovenia Univ Ljubljana Dept Math SI-1000 Ljubljana Slovenia Romanian Acad T Popoviciu Inst Numer Anal Cluj Napoca 400110 Romania Eindhoven Univ Technol Dept Math & Comp Sci NL-5600 MB Eindhoven Netherlands
In numerous science and engineering applications a partial differential equation has to be solved on some fairly regular domain that allows the use of the method of separation of variables. In several orthogonal coord... 详细信息
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