TY - JOUR T1 - A Modified Newton Method for Nonlinear Eigenvalue Problems JO - East Asian Journal on Applied Mathematics VL - 1 SP - 139 EP - 150 PY - 2018 DA - 2018/02 SN - 8 DO - http://doi.org/10.4208/eajam.100916.061117a UR - https://global-sci.org/intro/article_detail/eajam/10889.html KW - Nonlinear eigenvalue problem, smallest singular value, Newton method, quadratic convergence. AB -

A modification to the Newton method for nonlinear eigenvalue problems is proposed and locally quadratic convergence of this algorithm is established. Numerical examples show the efficiency of the method and reduced computational cost.