@Article{AAMM-9-944,
author = {Dong , NingJin , Jicheng and Yu , Bo},
title = {Convergence Rates of a Class of Predictor-Corrector Iterations for the Nonsymmetric Algebraic Riccati Equation Arising in Transport Theory},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2018},
volume = {9},
number = {4},
pages = {944--963},
abstract = {<p style="text-align: justify;">In this paper, we analyse the convergence rates of several different predictor-corrector
iterations for computing the minimal positive solution of the nonsymmetric
algebraic Riccati equation arising in transport theory. We have shown theoretically
that the new predictor-corrector iteration given in [Numer. Linear Algebra Appl., 21
(2014), pp. 761–780] will converge no faster than the simple predictor-corrector iteration
and the nonlinear block Jacobi predictor-corrector iteration. Moreover, the last
two have the same asymptotic convergence rate with the nonlinear block Gauss-Seidel
iteration given in [SIAM J. Sci. Comput., 30 (2008), pp. 804–818]. Preliminary numerical
experiments have been reported for the validation of the developed comparison
theory.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2015.m1277},
url = {http://global-sci.org/intro/article_detail/aamm/12184.html}
}