@Article{CSIAM-AM-2-2,
author = {Xin, Liang},
title = {Note on Finding an Optimal Deflation for Quadratic Matrix Polynomials},
journal = {CSIAM Transactions on Applied Mathematics},
year = {2021},
volume = {2},
number = {2},
pages = {336--356},
abstract = {<p style="text-align: justify;">This paper is concerned with the way to find an optimal deflation for the
eigenvalue problem associated with quadratic matrix polynomials. This work is a response of the work by Tisseur et al., $Linear$ $Algebra$ $Appl$., $435:464-479, 2011$, and solves
one of open problems raised by them. We build an equivalent unconstrained optimization problem on eigenvalues of a hyperbolic quadratic matrix polynomial of order 2,
and develop a technique that transforms the quadratic matrix polynomial to an equivalent one that is easy to solve. Numerical tests are given to illustrate several properties
of the problem.</p>},
issn = {2708-0579},
doi = {https://doi.org/10.4208/csiam-am.2021.nla.05},
url = {https://global-sci.com/article/82348/note-on-finding-an-optimal-deflation-for-quadratic-matrix-polynomials}
}