On the Approximative Construction of the Eigenvectors Corresponding to a Pair of Complex Conjugated Eigenvalues
Ivo Marek (1964)
Matematicko-fyzikálny časopis
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Ivo Marek (1964)
Matematicko-fyzikálny časopis
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Jan Bochenek (1971)
Annales Polonici Mathematici
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Jan Bochenek (1980)
Annales Polonici Mathematici
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J. Bračič, V. Müller (2007)
Banach Center Publications
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Eberhard, W., Freiling, G., Schneider, A. (1992)
International Journal of Mathematics and Mathematical Sciences
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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.
Eastham, M.S.P., Kong, Q., Wu, H., Zettl, A. (1999)
Journal of Inequalities and Applications [electronic only]
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Milan Kučera (1979)
Časopis pro pěstování matematiky
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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...