Solving Nonlinear Eigenvalue Problems using an Improved Newton Method
Journal Title: International Journal of Advanced Computer Science & Applications - Year 2016, Vol 7, Issue 9
Abstract
Finding approximations to the eigenvalues of non-linear eigenvalue problems is a common problem which arises from many complex applications. In this paper, iterative algo-rithms for finding approximations to the eigenvalues of nonlinear eigenvalue problems are verified. These algorithms use an efficient numerical approach for calculating the first and second deriva-tives of the determinant of the problem. Here we present and examine a technique for solving nonlinear eigenvalue problems using Newton method. Computational aspects of this approach for a nonlinear eigenvalue problem are analyzed. The efficiency of the algorithm is demonstrated using an example.
Authors and Affiliations
S. A Fazeli, F. Rabiei
Keywords
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- EP ID EP154474
- DOI 10.14569/IJACSA.2016.070959
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