TY - JOUR
T1 - Backward Error Analysis for Eigenproblems Involving Conjugate Symplectic Matrices
AU - Xu , Wei-Wei
AU - Li , Wen
AU - Jin , Xiao-Qing
JO - East Asian Journal on Applied Mathematics
VL - 4
SP - 312
EP - 326
PY - 2018
DA - 2018/02
SN - 5
DO - http://doi.org/10.4208/eajam.100115.170615a
UR - https://global-sci.org/intro/article_detail/eajam/10815.html
KW - Backward error, approximate eigenpairs, conjugate symplectic matrix.
AB - <p style="text-align: justify;">Conjugate symplectic eigenvalue problems arise in solving discrete linear-quadratic
optimal control problems and discrete algebraic Riccati equations. In this
article, backward errors of approximate pairs of conjugate symplectic matrices are obtained
from their properties. Several numerical examples are given to illustrate the
results.</p>