Solving Nonlinear Eigenvalue Problems using an Improved Newton Method

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
  • Views 114
  • Downloads 0

How To Cite

S. A Fazeli, F. Rabiei (2016). Solving Nonlinear Eigenvalue Problems using an Improved Newton Method. International Journal of Advanced Computer Science & Applications, 7(9), 438-441. https://www.europub.co.uk/articles/-A-154474