The descent algorithms for solving symmetric Pareto eigenvalue complementarity problem

Lu Zou; Yuan Lei

Displaying similar documents to “The descent algorithms for solving symmetric Pareto eigenvalue complementarity problem”

Monotonicity of the principal eigenvalue related to a non-isotropic vibrating string

Behrouz Emamizadeh, Amin Farjudian (2014)

Nonautonomous Dynamical Systems

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In this paper we consider a parametric eigenvalue problem related to a vibrating string which is constructed out of two different materials. Using elementary analysis we show that the corresponding principal eigenvalue is increasing with respect to the parameter. Using a rearrangement technique we recapture a part of our main result, in case the difference between the densities of the two materials is sufficiently small. Finally, a simple numerical algorithm will be presented which will...

Equality in Wielandt’s eigenvalue inequality

Shmuel Friedland (2015)

Special Matrices

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In this paper we give necessary and sufficient conditions for the equality case in Wielandt’s eigenvalue inequality.

A nonlinear eigenvalue problem with indefinite weights related to the Sobolev trace embedding.

Julián Fernández Bonder, Julio D. Rossi (2002)

Publicacions Matemàtiques

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In this paper we study the Sobolev trace embedding W(Ω) → L (∂Ω), where V is an indefinite weight. This embedding leads to a nonlinear eigenvalue problem where the eigenvalue appears at the (nonlinear) boundary condition. We prove that there exists a sequence of variational eigenvalues λ / +∞ and then show that the first eigenvalue is isolated, simple and monotone with respect to the weight. Then we prove a nonexistence result related to the first eigenvalue and we end...

Locating real eigenvalues of a spectral problem in fluid-solid type structures.

Voss, Heinrich (2005)

Journal of Applied Mathematics

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Numerical results for the Metropolis algorithm.

Diaconis, Persi, Neuberger, J.W. (2004)

Experimental Mathematics

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A maxmin principle for nonlinear eigenvalue problems with application to a rational spectral problem in fluid-solid vibration

Heinrich Voss (2003)

Applications of Mathematics

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In this paper we prove a maxmin principle for nonlinear nonoverdamped eigenvalue problems corresponding to the characterization of Courant, Fischer and Weyl for linear eigenproblems. We apply it to locate eigenvalues of a rational spectral problem in fluid-solid interaction.

A numerical method for solving inverse eigenvalue problems

Hua Dai (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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Based on -like decomposition with column pivoting, a new and efficient numerical method for solving symmetric matrix inverse eigenvalue problems is proposed, which is suitable for both the distinct and multiple eigenvalue cases. A locally quadratic convergence analysis is given. Some numerical experiments are presented to illustrate our results.