@Article{EAJAM-7-4,
author = {},
title = {Solution of a Nonlinear Eigenvalue Problem Using Signed Singular Values},
journal = {East Asian Journal on Applied Mathematics},
year = {2017},
volume = {7},
number = {4},
pages = {799--809},
abstract = {<p style="text-align: justify;">We propose a robust numerical algorithm for solving the nonlinear eigenvalue problem $A(λ)x=0$. Our algorithm is based on the idea of finding the value of $λ$ for which $A(λ)$ is singular by computing the smallest eigenvalue or singular value of $A(λ)$ viewed as a constant matrix. To further enhance computational efficiency, we introduce and use the concept of signed singular value. Our method is applicable when $A(λ)$ is large and nonsymmetric and has strong nonlinearity. Numerical experiments on a nonlinear eigenvalue problem arising in the computation of scaling exponent in turbulent flow show robustness and effectiveness of our method.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.181016.300517c},
url = {https://global-sci.com/article/82709/solution-of-a-nonlinear-eigenvalue-problem-using-signed-singular-values}
}