| Circularity of numerical ranges and block-shift matrices | |
|---|---|
| 學年 | 82 |
| 學期 | 2 |
| 出版（發表）日期 | 1994-06-01 |
| 作品名稱 | Circularity of numerical ranges and block-shift matrices |
| 作品名稱（其他語言） | |
| 著者 | 譚必信; Tam, Bit-shun |
| 單位 | 淡江大學數學學系 |
| 出版者 | Taylor & Francis |
| 著錄名稱、卷期、頁數 | Linear and Multilinear Algebra 37(1-3), pp.93-109 |
| 摘要 | Let A be a square complex matrix. Several characterizations are found for A to be permutationally similar to a block-shift matrix. One interesting equivalent condition is that the numerical range of every matrix with the same zero pattern as A is a circular disk. Equivalent conditions for the characteristic polynomial of the hermitian part of the matrix e iθA to be the same for all real values θ are also obtained.Complex matrices of order four that are unitarily similar to a block-shift matrix are identified. A result of Marcus and Pesce [6] is extended, and an open question of Li and Tsing [4] is also answered partially. |
| 關鍵字 | |
| 語言 | en |
| ISSN | 0308-1087 |
| 期刊性質 | 國內 |
| 收錄於 | |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | 否 |
| 國別 | TWN |
| 公開徵稿 | |
| 出版型式 | ,電子版 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/41410 ) |
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