| CP rank of completely positive matrices of order 5 | |
|---|---|
| 學年 | 91 |
| 學期 | 2 |
| 出版（發表）日期 | 2003-04-01 |
| 作品名稱 | CP rank of completely positive matrices of order 5 |
| 作品名稱（其他語言） | |
| 著者 | Loewy, Raphael; Tam, Bit-shun |
| 單位 | 淡江大學數學學系 |
| 出版者 | Elsevier |
| 著錄名稱、卷期、頁數 | Linear Algebra and Its Applications 363, pp.161-176 |
| 摘要 | J.H. Drew et al. [Linear and Multilinear Algebra 37 (1994) 304] conjectured that for n⩾4, the completely positive (CP) rank of every n×n completely positive matrix is at most [n2/4]. In this paper we prove that the CP rank of a 5×5 completely positive matrix which has at least one zero entry is at most 6, thus providing new supporting evidence for the conjecture. |
| 關鍵字 | Completely positive matrix;CP rank;Doubly nonnegative matrix |
| 語言 | en_US |
| ISSN | 0024-3795 |
| 期刊性質 | 國外 |
| 收錄於 | |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | 否 |
| 國別 | USA |
| 公開徵稿 | |
| 出版型式 | ,電子版,紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/41396 ) |
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