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.

S.A Shahzadeh Fazeli and F. Rabiei. “Solving Nonlinear Eigenvalue Problems using an Improved Newton Method”. International Journal of Advanced Computer Science and Applications (IJACSA) 7.9 (2016). http://dx.doi.org/10.14569/IJACSA.2016.070959

@article{Fazeli2016,
title = {Solving Nonlinear Eigenvalue Problems using an Improved Newton Method},
journal = {International Journal of Advanced Computer Science and Applications},
doi = {10.14569/IJACSA.2016.070959},
url = {http://dx.doi.org/10.14569/IJACSA.2016.070959},
year = {2016},
publisher = {The Science and Information Organization},
volume = {7},
number = {9},
author = {S.A Shahzadeh Fazeli and F. Rabiei}
}