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??? |
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頁(從 - 到) | 195-201 |
頁數 | 7 |
期刊 | Linear and Multilinear Algebra |
卷 | 52 |
發行號 | 3-4 |
DOIs | |
出版狀態 | 已出版 - 2004 |