橢圓形數值域之四階方陣; Elliptic Numerical Range of 4x4 matirces

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/7831

Title:	橢圓形數值域之四階方陣;Elliptic Numerical Range of 4x4 matirces
Authors:	呂岳樺;Yue-Hwa Liu
Contributors:	數學研究所
Keywords:	四階方陣;數值域;4x4 matrices;numerical range
Date:	2003-06-06
Issue Date:	2009-09-22 11:06:35 (UTC+8)
Publisher:	國立中央大學圖書館
Abstract:	對於橢圓形數值域（Numerical Range）之四階方陣而言，其C_R(A)可能的情形為兩點及一橢圓或者為兩個橢圓；我們分別就此兩種情形，討論其與四階方陣中的元素及特徵值（Eigenvalues）之間的關係，並且得到兩者共存的條件。接下來，我們對形如（4﹒2）的四階方陣做相同的討論，從而得到更一步的結果。 The aim of this thesis is to provide characterizations of a 4x4 matrix A with elliptic numerical range. We will express the conditions in terms of the eigenvalues and entries of A. These characterizations will be useful to construct a 4x4 matrix with an elliptic numerical range.
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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