Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4599325 | Linear Algebra and its Applications | 2017 | 18 Pages |
Abstract
Let Jk(λ) be the kÃk Jordan block with eigenvalue λ and let N be an mÃm normal matrix. In this paper we study the polynomial numerical hulls of order 2 and nâ1 for A=Jk(λ)âN, where n=m+k. We obtain a necessary and sufficient condition such that V2(A) has an interior point. Also, we analytically characterize V2(J2(λ)âN) and we show that if Ï(N)âª{λ} is co-linear, then V2(J2(λ)âN)=âaâÏ(N)V2(J2(λ)â[a]). Finally, we study Vnâ1(A) and we show that if Ï(N) is neither co-linear nor co-circular, then Vnâ1(A) has at most one point more than Ï(A).
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Saeed Karami, Abbas Salemi,