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One Approach to Construction of Bilateral Approximations Methods for Solution of Nonlinear Eigenvalue Problems
Institute of Applied Problems of Mechanics & Mathematics, National Academy of Sciences of Ukraine, Lviv, Ukraine
- 1 Institute of Applied Problems of Mechanics & Mathematics, National Academy of Sciences of Ukraine, Lviv, Ukraine
American Journal of Computational Mathematics·Volume 02 (2012)·Pages 118–124·Published 21 June 2012·DOI10.4236/ajcm.2012.22016
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Abstract
In this paper a new approach to construction of iterative methods of bilateral approximations of eigenvalue is proposed and investigated. The conditions on initial approximation, which ensure the convergence of iterative processes, are obtained.
KeywordsNonlinear Eigenvalue ProblemDerivatives of Matrix DeterminantNumerical Algorithm of Alternate Approximations
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