A new Poncelet curve for the boundary generating curve of a numerical range

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• 作者：Mao-Ting Chien^a ; ^{mtchien@scu.edu.tw" class="auth_mail" title="E-mail the corresponding author} ; Hiroshi Nakazato^b ; ^{nakahr@cc.hirosaki-u.ac.jp" class="auth_mail" title="E-mail the corresponding author}
• 关键词：15A60 ; 51M04
• 刊名：Linear Algebra and its Applications
• 出版年：2015
• 出版时间：15 December 2015
• 年：2015
• 卷：487
• 期：Complete
• 页码：1-21
• 全文大小：584 K

文摘

In this paper, a geometrical method is developed to obtain a new Poncelet curve for the boundary generating curve of the numerical range of a certain class of contractions. An algorithm is provided for producing the equation of the new Poncelet curve. Several examples of experimental results are also presented to illustrate such new Poncelet curves.