Elliptic numerical ranges of 4 × 4 matrices

研究成果: 雜誌貢獻期刊論文同行評審

14 引文 斯高帕斯(Scopus)

摘要

Let A be an n × n (complex) matrix. Recall that the numerical range W (A) of A is the set {〈Ax, x〉: x ∈ ℂn, ||x|| = 1} in the plane, where 〈·, ·) denotes the usual inner product in ℂn. In this paper a series of tests is given, allowing one to determine when the numerical range of a 4 × 4 matrix A is an elliptic disc.

原文???core.languages.en_GB???
頁(從 - 到)117-128
頁數12
期刊Taiwanese Journal of Mathematics
10
發行號1
DOIs
出版狀態已出版 - 1月 2006

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