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://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 - <p style="text-align: justify;">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.</p>