On the star-Sylvester equation AX +/- X-star B-star = C
| dc.citation.epage | 8393 | en_US |
| dc.citation.issue | 17 | en_US |
| dc.citation.volume | 218 | en_US |
| dc.citation.woscount | 5 | |
| dc.contributor.author | Chiang, Chun-Yueh | en_US |
| dc.contributor.author | Chu, Eric King-Wah | en_US |
| dc.contributor.author | Lin, Wen-Wei | en_US |
| dc.contributor.department | 應用數學系 | zh_TW |
| dc.contributor.department | Department of Applied Mathematics | en_US |
| dc.date.accessioned | 2014-12-08T15:22:41Z | |
| dc.date.available | 2014-12-08T15:22:41Z | |
| dc.date.issued | 2012-05-01 | en_US |
| dc.description.abstract | We consider the solution of the star-Sylvester equations AX +/- (XB star)-B-star = C, for star = T, H and A, B, is an element of C-nxn, and the related linear matrix equations AXB(star) +/- X-star = C, AXB(star) +/- (CXD star)-D-star = E and AX +/- X(star)A(star) = C. Solvability conditions and numerical methods are considered, in terms of the (generalized and periodic) Schur and QR decompositions. We emphasize the square cases where m = n but the rectangular cases will be considered. (C) 2012 Elsevier Inc. All rights reserved. | en_US |
| dc.identifier.issn | 0096-3003 | en_US |
| dc.identifier.journal | APPLIED MATHEMATICS AND COMPUTATION | en_US |
| dc.identifier.uri | https://ir.lib.nycu.edu.tw/handle/11536/16012 | |
| dc.identifier.wosnumber | WOS:000302769100017 | |
| dc.language.iso | en_US | en_US |
| dc.subject | Linear matrix equation | en_US |
| dc.subject | Lyapunov equation | en_US |
| dc.subject | Palindromic eigenvalue problem | en_US |
| dc.subject | QR decomposition | en_US |
| dc.subject | Generalized algebraic Riccati equation | en_US |
| dc.subject | Schur decomposition | en_US |
| dc.subject | Singular value decomposition | en_US |
| dc.subject | Solvability | en_US |
| dc.title | On the star-Sylvester equation AX +/- X-star B-star = C | en_US |
| dc.type | Article | en_US |