Nonlinear eigenvalue problems and contour integrals

被引：32
|
作者：
Van Barel, Marc [1 ]
Kravanja, Peter [1 ]
机构：
[1] Katholieke Univ Leuven, Dept Comp Sci, B-3001 Heverlee, Belgium
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2016年 / 292卷
关键词：
Nonlinear eigenvalue problems; Contour integrals; Keldysh' theorem; Beyn's algorithm; Canonical polyadic decomposition; Filter function; MULTILINEAR-ALGEBRA; ANALYTIC-FUNCTION; NUMERICAL-METHOD; EIGENSOLVER; PROJECTION; FEAST;
D O I：
10.1016/j.cam.2015.07.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper Beyn's algorithm for solving nonlinear eigenvalue problems is given a new interpretation and a variant is designed in which the required information is extracted via the canonical polyadic decomposition of a Hankel tensor. A numerical example shows that the choice of the filter function is very important, particularly with respect to where it is positioned in the complex plane. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：526 / 540
页数：15
相关论文
共 50 条
  • [1] Solving acoustic nonlinear eigenvalue problems with a contour integral method
    Leblanc, Alexandre
    Lavie, Antoine
    [J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2013, 37 (01) : 162 - 166
  • [2] Adapted Contour Integration for Nonlinear Eigenvalue Problems in Waveguide Coupled Resonators
    Jorkowski, Philipp
    Schmidt, Kersten
    Schenker, Carla
    Grubisic, Luka
    Schuhmann, Rolf
    [J]. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2022, 70 (01) : 499 - 513
  • [3] Contour Integral Methods for Nonlinear Eigenvalue Problems: A Systems Theoretic Approach
    Brennan, Michael C.
    Embree, Mark
    Gugercin, Serkan
    [J]. SIAM REVIEW, 2023, 65 (02) : 439 - 470
  • [4] ON THE SECOND EIGENVALUE OF NONLINEAR EIGENVALUE PROBLEMS
    Degiovanni, Marco
    Marzocchi, Marco
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018,
  • [5] ON NONLINEAR EIGENVALUE PROBLEMS
    CHABROWSKI, J
    [J]. FORUM MATHEMATICUM, 1992, 4 (04) : 359 - 375
  • [6] An Elementary Derivation of the Projection Method for Nonlinear Eigenvalue Problems Based on Complex Contour Integration
    Yamamoto, Yusaku
    [J]. EIGENVALUE PROBLEMS: ALGORITHMS, SOFTWARE AND APPLICATIONS IN PETASCALE COMPUTING (EPASA 2015), 2017, 117 : 251 - 265
  • [7] NONLINEAR EIGENVALUE PROBLEMS
    FRIEDMAN, A
    [J]. STUDIES IN APPLIED MATHEMATICS, 1969, (05) : 9 - &
  • [8] NONLINEAR EIGENVALUE PROBLEMS
    FRIEDMAN, A
    SHINBROT, M
    [J]. ACTA MATHEMATICA UPPSALA, 1968, 121 (1-2): : 77 - &
  • [9] Nonlinear eigenvalue problems
    Bender, Carl M.
    Fring, Andreas
    Komijani, Javad
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2014, 47 (23)
  • [10] ON THE UTILIZATION OF CONTOUR INTEGRALS IN STOCK AND TERM PROBLEMS
    VENTURA, E
    [J]. MANAGEMENT SCIENCE, 1960, 6 (04) : 423 - 443
12345