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Applications of Multiparameter Eigenvalue Problems

Nepal Journal of Science and Technology, 2021
It was mainly due to Atkinson works, who introduced Linear Multiparameter Eigenvalue problems (LMEPs), based on determinantal operators on the Tensor Product Space.
N. Bora
semanticscholar   +3 more sources

Randomized methods for computing joint eigenvalues, with applications to multiparameter eigenvalue problems and root finding. [PDF]

Numer Algorithms
It is well known that a family of n×n\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt ...
He H, Kressner D, Plestenjak B.
europepmc   +3 more sources

Multiparameter Eigenvalue Problems and Shift-invariance

IFAC-PapersOnLine, 2021
sponsorship: This work was supported by (1) KU Leuven: Research Fund (projects C16/15/059, C3/19/053, C24/18/022, C3/20/117), Industrial Research Fund (Fellowships 13-0260, IOF/16/004) and several Leuven Research and Development bilateral industrial projects; (2) Flemish Government Agencies: (a) FWO: EOS Project G0F6718N (SeLMA), SBO project S005319N ...
K. D. Cock, B. Moor
semanticscholar   +2 more sources

On the Travelling Waves for the Generalized Nonlinear Schrödinger Equation [PDF]

Abstract and Applied Analysis, 2011
This paper is devoted to the analysis of the travelling waves for a class of generalized nonlinear Schrödinger equations in a cylindric domain. Searching for travelling waves reduces the problem to the multiparameter eigenvalue problems for a class of ...
Mahir Hasanov
doaj   +3 more sources

Multiparameter Eigenvalue Problems and Their Applications in Electrodynamics

Journal of Mathematical Sciences, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D. Valovik, V. Kurseeva
semanticscholar   +3 more sources

Elliptic multiparameter eigenvalue problems [PDF]

Proceedings of the Edinburgh Mathematical Society, 1987
We study the eigenproblemwhereand Tm, Vmn are self-adjoint operators on separable Hilbert spaces Hm. We assume the Tm to be bounded below with compact resolvents, and the Vmn to be bounded and to satisfy an “ellipticity” condition. If k = 1 then ellipticity is automatic, and if each Tm is positive definite then the problem is “left definite”.
P. Binding, K. Seddighi
semanticscholar   +3 more sources

Left definite multiparameter eigenvalue problems [PDF]

Transactions of the American Mathematical Society, 1982
We study the problem \[ ( ∗ ) T m x m = ∑ n = 1 k λ n
P. Binding
semanticscholar   +3 more sources

Shapley-Snow Kernels, Multiparameter Eigenvalue Problems, and Stochastic Games [PDF]

Mathematics of Operations Research, 2018
We establish, for the first time, a connection between stochastic games and multiparameter eigenvalue problems, using the theory developed by Shapley and Snow (1950). This connection provides new results, new proofs, and new tools for studying stochastic
Luc Attia, Miquel Oliu-Barton
semanticscholar   +5 more sources

Inverse multiparameter eigenvalue problems for matrices III [PDF]

Proceedings of the Edinburgh Mathematical Society, 1986
This note will complement and, in a certain sense, complete our earlier studies [3, 4] of the theory of inverse multiparameter eigenvalue problems for matrices. In those papers, we considered the so called “additive inverse problem” which, briefly stated for the 2-parameter case, asks for conditions on given n × n matrices A, B, C and on given points ...
P. Browne, B. Sleeman
semanticscholar   +4 more sources

Nonlinear multiparameter eigenvalue problems: Linearised and nonlinearised solutions

Journal of Differential Equations, 2019
The paper focuses on a nonlinear multiparameter eigenvalue problem called P. This problem involves n spectral parameters and also depends on n 2 numerical parameters, where n ⩾ 2 is an integer.
V. Kurseeva, S. Tikhov, D. Valovik
semanticscholar   +2 more sources