Volume 8, Issue 1
A Modified Newton Method for Nonlinear Eigenvalue Problems

Xiao-Ping Chen & Hua Dai

East Asian J. Appl. Math., 8 (2018), pp. 139-150.

Published online: 2018-02

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  • Abstract

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.

  • Keywords

Nonlinear eigenvalue problem smallest singular value Newton method quadratic convergence

  • AMS Subject Headings

65F15

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COPYRIGHT: © Global Science Press

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@Article{EAJAM-8-139, author = {Xiao-Ping Chen and Hua Dai}, title = {A Modified Newton Method for Nonlinear Eigenvalue Problems}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {8}, number = {1}, pages = {139--150}, abstract = {

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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.100916.061117a}, url = {http://global-sci.org/intro/article_detail/eajam/10889.html} }
TY - JOUR T1 - A Modified Newton Method for Nonlinear Eigenvalue Problems AU - Xiao-Ping Chen & Hua Dai JO - East Asian Journal on Applied Mathematics VL - 1 SP - 139 EP - 150 PY - 2018 DA - 2018/02 SN - 8 DO - http://dor.org/10.4208/eajam.100916.061117a UR - https://global-sci.org/intro/article_detail/eajam/10889.html KW - Nonlinear eigenvalue problem KW - smallest singular value KW - Newton method KW - 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.

Xiao-Ping Chen & Hua Dai. (1970). A Modified Newton Method for Nonlinear Eigenvalue Problems. East Asian Journal on Applied Mathematics. 8 (1). 139-150. doi:10.4208/eajam.100916.061117a
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