Numerical range of a normal compression

Hwa Long Gau, Pei Yuan Wu

研究成果: 雜誌貢獻期刊論文同行評審

12 引文 斯高帕斯(Scopus)

摘要

Let N be an n-by-n diagonal matrix whose distinct eigenvalues form corners of their convex hull, let x be a vector in ℂn with nonzero components, and let A be the compression of N to the orthogonal complement of x. In this article, we study the properties of the eigenvalues and the numerical range of A and show that in many ways they are analogous to the ones for unitary N. The approach via the diagonal form of N yields a much simpler proof for some of the main results in this area.

原文???core.languages.en_GB???
頁(從 - 到)195-201
頁數7
期刊Linear and Multilinear Algebra
52
發行號3-4
DOIs
出版狀態已出版 - 2004

指紋

深入研究「Numerical range of a normal compression」主題。共同形成了獨特的指紋。

引用此