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    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:[數學研究所] 博碩士論文

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