PHSS Iterative Method for Solving Generalized Lyapunov Equations
| Autor: | Hai-Long Shen, Xin-Hui Shao, Shi-Yu Li |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Lyapunov function
Iterative method Computer science General Mathematics lcsh:Mathematics PHSS iterative method computational_mathematics Lyapunov equation 010103 numerical & computational mathematics HSS iterative method lcsh:QA1-939 01 natural sciences 010101 applied mathematics symbols.namesake Convergence (routing) Computer Science (miscellaneous) symbols Preprocessor Applied mathematics 0101 mathematics Engineering (miscellaneous) |
| Zdroj: | Mathematics, Vol 7, Iss 1, p 38 (2019) Mathematics Volume 7 Issue 1 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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