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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Hua Dai (1999)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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A. Rakus (1972)
Applicationes Mathematicae
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Vajargah, Behrouz Fathi, Mehrdoust, Farshid (2011)
Advances in Numerical Analysis
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Lubomír Skála (1977)
Aplikace matematiky
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Dwyer, H.I., Zettl, A. (1995)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Tremblay, Jean Christophe, Carrington, Tucker jun. (2007)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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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...
K. A. Cliffe, T. J. Garratt, Alastair Spence (1993)
Applications of Mathematics
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This paper is concerned with the problem of computing a small number of eigenvalues of large sparse generalized eigenvalue problems. The matrices arise from mixed finite element discretizations of time dependent equations modelling viscous incompressible flow. The eigenvalues of importance are those with smallest real part and are used to determine the linearized stability of steady states, and could be used in a scheme to detect Hopf bifurcations. We introduce a modified Cayley transform...