Article
Version 1
Preserved in Portico This version is not peer-reviewed
PHSS Iterative Method for Solving Generalized Lyapunov Equations
Version 1
: Received: 19 November 2018 / Approved: 20 November 2018 / Online: 20 November 2018 (06:51:55 CET)
A peer-reviewed article of this Preprint also exists.
Li, S.-Y.; Shen, H.-L.; Shao, X.-H. PHSS Iterative Method for Solving Generalized Lyapunov Equations. Mathematics 2019, 7, 38. Li, S.-Y.; Shen, H.-L.; Shao, X.-H. PHSS Iterative Method for Solving Generalized Lyapunov Equations. Mathematics 2019, 7, 38.
Abstract
Based on previous research results, we propose a new preprocessing HSS iteration method (PHSS) for the generalized Lyapunov equation. At the same time, the corresponding inexact PHSS algorithm (IPHSS) is given from the angle of application. All the new methods presented in this paper have given the corresponding convergence proof. The numerical experiments are carried out to compare the new method with the existing methods, and the improvement effect is obvious. The feasibility and effectiveness of the proposed method are proved from two aspects of theory and calculation.
Keywords
Lyapunov equation; HSS iterative method; PHSS iterative method
Subject
Computer Science and Mathematics, Computational Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (0)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment
