The asymptotic analysis of the structure-preserving doubling algorithms
| dc.citation.epage | 355 | en_US |
| dc.citation.spage | 318 | en_US |
| dc.citation.volume | 531 | en_US |
| dc.contributor.author | Kuo, Yueh-Cheng | en_US |
| dc.contributor.author | Lin, Wen-Wei | en_US |
| dc.contributor.author | Shieh, Shih-Feng | en_US |
| dc.contributor.department | 應用數學系 | zh_TW |
| dc.contributor.department | Department of Applied Mathematics | en_US |
| dc.date.accessioned | 2018-08-21T05:54:26Z | |
| dc.date.available | 2018-08-21T05:54:26Z | |
| dc.date.issued | 2017-10-15 | en_US |
| dc.description.abstract | This paper is the second part of [15]. Taking advantage of the special structure and properties of the Hamiltonian matrix, we apply a symplectically similar transformation introduced by [18] to reduce H to a Hamiltonian Jordan canonical form J. The asymptotic analysis of the structure-preserving flows and RDEs is studied by using e(Jt). The convergence of the SDA as well as its rate can thus result from the study of the structure preserving flows. A complete asymptotic dynamics of the SDA is investigated, including the linear and quadratic convergence studied in the literature [3,12,13]. (C) 2017 Elsevier Inc. All rights reserved. | en_US |
| dc.identifier.doi | 10.1016/j.laa.2017.06.005 | en_US |
| dc.identifier.issn | 0024-3795 | en_US |
| dc.identifier.journal | LINEAR ALGEBRA AND ITS APPLICATIONS | en_US |
| dc.identifier.uri | http://dx.doi.org/10.1016/j.laa.2017.06.005 | en_US |
| dc.identifier.uri | https://ir.lib.nycu.edu.tw/handle/11536/145957 | |
| dc.identifier.wosnumber | WOS:000408185800020 | en_US |
| dc.language.iso | en_US | en_US |
| dc.subject | Matrix equations | en_US |
| dc.subject | Structure-preserving doubling algorithms | en_US |
| dc.subject | Matrix Riccati differential equations | en_US |
| dc.subject | Structure-preserving flows | en_US |
| dc.subject | Convergence rates | en_US |
| dc.subject | Symplectic pairs | en_US |
| dc.title | The asymptotic analysis of the structure-preserving doubling algorithms | en_US |
| dc.type | Article | en_US |
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