On sums of three square-zero matrices
| dc.citation.epage | 57 | en_US |
| dc.citation.issue | 1-3 | en_US |
| dc.citation.spage | 45 | en_US |
| dc.citation.volume | 306 | en_US |
| dc.citation.woscount | 1 | |
| dc.contributor.author | Takahashi, K | en_US |
| dc.contributor.department | 應用數學系 | zh_TW |
| dc.contributor.department | Department of Applied Mathematics | en_US |
| dc.date.accessioned | 2014-12-08T15:45:41Z | |
| dc.date.available | 2014-12-08T15:45:41Z | |
| dc.date.issued | 2000-02-15 | en_US |
| dc.description.abstract | Wang and Wu characterized matrices which are sums of two square-zero matrices, and proved that every matrix with trace-zero is a sum of four square-zero matrices. Moreover, they gave necessary or sufficient conditions for a matrix to be a sum of three square-zero matrices. In particular, they proved that if an n x n matrix A is a sum of three square-zero matrices, the dim ker(A - alpha I) less than or equal to 3n/4 for any scalar alpha not equal 0. Proposition 1 shows that this condition is not necessarily sufficient for the matrix A to be a sum of three square-zero matrices, and characterizes sums of three square-zero matrices among matrices with minimal polynomials of degree 2. (C) 2000 Elsevier Science Inc, All rights reserved. | en_US |
| dc.identifier.issn | 0024-3795 | en_US |
| dc.identifier.journal | LINEAR ALGEBRA AND ITS APPLICATIONS | en_US |
| dc.identifier.uri | https://ir.lib.nycu.edu.tw/handle/11536/30730 | |
| dc.identifier.wosnumber | WOS:000085281600005 | |
| dc.language.iso | en_US | en_US |
| dc.title | On sums of three square-zero matrices | en_US |
| dc.type | Article | en_US |