The numerical range of powers of matrices

碩士 === 東吳大學 === 數學系 === 95 === Let A be a n-by-n complex matrix; the numerical range of A is defined to be the set {x*Ax:x belongs to C^n,x*x=1}. The image of W(A^k) where k is a positive integer is studied. In particular, the geometric properties of W(A^k) related to that of W(A) are examined. Sect...

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Bibliographic Details
Main Authors: Teng-Yao Huang, 黃騰耀
Other Authors: Mao-Ting Chien
Format: Others
Language:zh-TW
Published: 2006
Online Access:http://ndltd.ncl.edu.tw/handle/85526082993116619103