隨機矩陣的數值域之研究
| dc.contributor.author | 王國仲 | en_US |
| dc.contributor.author | wang kuo-zhong | en_US |
| dc.contributor.department | 國立交通大學應用數學系（所） | zh_TW |
| dc.date.accessioned | 2014-12-13T10:40:38Z | |
| dc.date.available | 2014-12-13T10:40:38Z | |
| dc.date.issued | 2012 | en_US |
| dc.description.abstract | 本計畫之目的在於研究隨機矩陣其數值域的性質。我們想要獲得n乘n隨機矩陣的數值域之最佳範圍的完整刻劃。另一方面，我們也探討隨機矩陣的數值域是圓盤的可能性，我們猜測隨機矩陣的數值域不會是圓盤。 表本計畫之目的在於研究隨機矩陣其數值域的性質。我們想要獲得n乘n隨機矩陣的數值域之最佳範圍的完整刻劃。另一方面，我們也探討隨機矩陣的數值域是圓盤的可能性，我們猜測隨機矩陣的數值域不會是圓盤。 | zh_TW |
| dc.description.abstract | For an n-by-n complex matrix A, we discuss the numerical range of a stochastic matrix and relate it to the structure of the matrix. We will consider two problems: (a) Is it true that ( )WA is not a circular disc for any stochastic matrix A? (b) Find the best region n G such that for any n-by-n stochastic matrix A. | en_US |
| dc.description.sponsorship | 行政院國家科學委員會 | zh_TW |
| dc.identifier.govdoc | NSC101-2115-M009-001 | zh_TW |
| dc.identifier.uri | https://www.grb.gov.tw/search/planDetail?id=2593147&docId=392142 | en_US |
| dc.identifier.uri | https://ir.lib.nycu.edu.tw/handle/11536/97698 | |
| dc.language.iso | zh_TW | en_US |
| dc.subject | 數值域 | zh_TW |
| dc.subject | 數值域半徑 | zh_TW |
| dc.subject | 隨機矩陣 | zh_TW |
| dc.subject | 非負矩陣 | zh_TW |
| dc.subject | Numerical Range | en_US |
| dc.subject | Numerical Radius | en_US |
| dc.subject | Stochastic Matrix | en_US |
| dc.subject | Nonnegative matrix | en_US |
| dc.title | 隨機矩陣的數值域之研究 | zh_TW |
| dc.title | Numerical Ranges of Stochastic Matrices | en_US |
| dc.type | Plan | en_US |
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