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arXiv · 1403.3479

On the boundary of weighted numerical ranges

Wai-Shun Cheung
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Abstract

In this article, we are going to introduce the weighted numerical range which is a further generalization both the c-numerical range and the rank k numerical range. If the boundaries of weighted numerical ranges of two matrices (possibly of different sizes) overlap at sufficiently many points, then the two matrices share common generalized eigenvalues.

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Wai-Shun Cheung. 2015-06-14. On the boundary of weighted numerical ranges. https://doi.org/10.1080/03081087.2015.1043117

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