Results 121 to 130 of about 2,415 (165)

Sensitivity and Backward Perturbation Analysis of Multiparameter Eigenvalue Problems

SIAM Journal on Matrix Analysis and Applications, 2018
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Ghosh, Arnab, Alam, Rafikul
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Numerical methods for solving multiparameter eigenvalue problems

International Journal of Computer Mathematics, 1999
This paper is concerned with the numerical solution of multiparameter eigenvalue problems for matrices which arise in discretization of multiparameter Sturm-Liouville eigenvalue problems in ordinary differential equations. Based on the trace theorem and the differentiability theory of QR decomposition two new algorithms are proposed.
Hua Dai
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Nonlinear Multiparameter Eigenvalue Problems in Aeroelasticity

International Journal of Structural Stability and Dynamics, 2019
In this work, we devise solution algorithms for nonlinear multiparameter eigenvalue problems arising in the analysis of aeroelastic flutter. Two iterative algorithms are devised, as well as a restriction method for simplifying the system behavior away from the desired flutter points. The algorithms are tested on a sectional model and on the Goland wing.
Pons, Arion, Gutschmidt, Stefanie
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Multiparameter Eigenvalue Problems and Their Applications in Electrodynamics

Journal of Mathematical Sciences, 2022
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Valovik, D. V., Kurseeva, V. Yu.
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NON-LINEAR MULTIPARAMETER EIGENVALUE PROBLEMS

Quaestiones Mathematicae, 1981
ABSTRACT In some recent papers [1, 3, 4] we discussed non-linear multiparameter systems of second order ordinary differential equations and paid particular attention to the phenomenon of bifurcation from eigenvalues. Here we present results to cover the abstract case in which our problems are posed in the language of operator theory.
Patrick J Browne, B D Sleeman
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A Multiparameter Eigenvalue Problem in the Complex Plane

American Journal of Mathematics, 1977
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Computations of Holomorphic Multiparameter Eigenvalue Problems

SIAM Journal on Numerical Analysis, 1984
The paper concerns multiparameter eigenvalue problems (1) \(A(\lambda,\nu,\mu)u=0\), \(\lambda\),\(\nu\in C\), \(\mu \in C^ m\), \(m\in N\), when A(\(\lambda\),\(\nu\),\(\mu)\) is a linear Fredholm operator with index 0 between Banach spaces E, F which is bounded, holomorphic on a region \(g\subset C^{m+2}\). The isolated eigenvalues \(\lambda =\lambda
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Numerical Solution of Multiparameter Eigenvalue Problems

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1982
AbstractIn this paper we describe an algorithm for the computation of eigenvalue curves and corresponding eigenvectors of multiparameter eigenvalue problems. After input of an algebraic simple eigenvalue with eigenvector we use continuation methods to compute the eigenvalue curve starting from the given eigenvalue.
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Multiparameter Variational Eigenvalue Problems With Indefinite Nonlinearity

Canadian Journal of Mathematics, 1997
AbstractWe consider the multiparameter nonlinear Sturm-Liouville problemwhere are parameters. We assume that1 ≤ q ≤ p1 < p2 < ... ≤ pn < 2q + 3.We shall establish an asymptotic formula of variational eigenvalue λ = λ(μ, α) obtained by using Ljusternik-Schnirelman theory on general level set Nμ, α(α < 0 : parameter of level set ...
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The multiparameter eigenvalue problem: Jordan vector semilattices

Journal of Mathematical Sciences, 1997
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