# Lower bounds for the numerical radius

Hwa Long Gau, Pei Yuan Wu

1 引文 斯高帕斯（Scopus）

## 摘要

We show that if A = [aij]ni, j=1 is an n-by-n complex matrix and A′ = [a′i,j]ni, j=1, where (eqution found), then w(A)≥ w(A′), where w(·) denotes the numerical radius of a matrix. Moreover, if n is odd and a12,…,an−1,n,an1 are all nonzero, then w(A) = w(A′) if and only if A = A′. For an even n, under the same nonzero assumption, we have W(A) =W(A′) if and only if A = A′, where W(·) is the numerical range of a matrix.

原文 ???core.languages.en_GB??? 999-1014 16 Operators and Matrices 11 4 https://doi.org/10.7153/oam-2017-11-69 已出版 - 12月 2017

## 指紋

• ### Sn矩陣與伴同矩陣的零延拓指數之研究

Gau, H.

1/08/1631/07/17

研究計畫: Research