PRODUCTS OF UNIPOTENT MATRICES OF INDEX-2
| dc.citation.epage | 123 | en_US |
| dc.citation.issue | en_US | |
| dc.citation.spage | 111 | en_US |
| dc.citation.volume | 149 | en_US |
| dc.citation.woscount | 7 | |
| dc.contributor.author | WANG, JH | en_US |
| dc.contributor.author | WU, PY | en_US |
| dc.contributor.department | 交大名義發表 | zh_TW |
| dc.contributor.department | 應用數學系 | zh_TW |
| dc.contributor.department | National Chiao Tung University | en_US |
| dc.contributor.department | Department of Applied Mathematics | en_US |
| dc.date.accessioned | 2014-12-08T15:05:17Z | |
| dc.date.available | 2014-12-08T15:05:17Z | |
| dc.date.issued | 1991-04-01 | en_US |
| dc.description.abstract | We show that an n x n complex matrix T is the product of two unipotent matrices of index 2 if and only if T is similar to a matrix of the form D + D-1 + (I + N) + (- I + SIGMA-i(m) = 1 + J(i)), where 0 and +/- 1 are not eigenvalues of D, N is nilpotent, and each J(i) is a nilpotent Jordan block of even size. On the other hand, T is the product of finitely many unipotent matrices of index 2 if and only if det T = 1. In this case, the minimal number of required unipotents is 1 if n = 1, 3 if n = 2, and 4 if n greater-than-or-equal-to 3. | en_US |
| dc.identifier.doi | 10.1016/0024-3795(91)90329-U | 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/10.1016/0024-3795(91)90329-U | en_US |
| dc.identifier.uri | https://ir.lib.nycu.edu.tw/handle/11536/3829 | |
| dc.identifier.wosnumber | WOS:A1991EZ78900009 | |
| dc.language.iso | en_US | en_US |
| dc.title | PRODUCTS OF UNIPOTENT MATRICES OF INDEX-2 | en_US |
| dc.type | Article | en_US |