On Rayleigh-Ritz Method in Three-Parameter Eigenvalue Problems
نویسندگان
چکیده
منابع مشابه
On Rayleigh-Ritz Method in Three-Parameter Eigenvalue Problems
This paper deals with the computation of the eigenvalues of a three-parameter Sturm-Liouville problem in the form of ordinary differential equation using Rayleigh-Ritz Method, a method which is based on the principle of variational methods. This method has been effective in computing the eigenvalues of self-adjoint problems. The resulting equations obtained in applying Rayleigh-Ritz method on t...
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A nonlinear Rayleigh-Ritz iterative (NRRIT) method for solving nonlinear eigenvalue problems is studied in this paper. It is an extension of the nonlinear Arnoldi algorithm due to Heinrich Voss. The effienicy of the NRRIT method is demonstrated by comparing with inverse iteration methods to solve a highly nonlinear eigenvalue problem arising from finite element electromagnetic simulation in acc...
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Atkinson, F. V. ,1972. 'Multiparameter Eigenvalue Problems', (Matrices and compact operators) Academic Press, New York, Vol. 1 Atkinson, F. V. , 1968. 'Multiparameter spectral theory', Bull. Am. Math. Soc. , Vol. 75, pp(1-28) Baruah, A. K. , 1987. 'Estimation of eigen elements in a two-parameter eigen value problem', Ph. D Thesis, Dibrugarh University, Assam. Bindi...
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After reviewing the harmonic Rayleigh–Ritz approach for the standard and generalized eigenvalue problem, we discuss different extraction processes for subspace methods for the polynomial eigenvalue problem. We generalize the harmonic and refined Rayleigh–Ritz approach, which are new approaches to extract promising approximate eigenpairs from a search space. We give theoretical as well as numeri...
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ژورنال
عنوان ژورنال: International Journal of Computer Applications
سال: 2014
ISSN: 0975-8887
DOI: 10.5120/14969-3149