A numerical method for solving inverse eigenvalue problems
Hua Dai (1999)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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A numerical method for solving inverse eigenvalue problems
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Lubomír Skála (1977)
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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...