Higher-Rank Numerical Ranges of 4-by-4 Matrices

碩士 === 國立中央大學 === 數學研究所 === 97 === Let $A$ be an $n$-by-$n$ matrix. For $1leq k leq n$, the rank-$k$ numerical range of $A$ is defined and denoted by $Lambda_k(A) = {lambdainmathbb{C}: PAP=lambda P mbox{ for some rank-{it k} orthogonal projection $P$}}$. In this thesis, we give a complete descriptio...

Full description

Bibliographic Details
Main Authors: Yu-Jhau Peng, 彭煜釗
Other Authors: Hwa-Long Gau
Format: Others
Language:en_US
Published: 2009
Online Access:http://ndltd.ncl.edu.tw/handle/539255