On the envelope of some classes of 3 by 3 matrices

Aik. Aretaki and Ch. Chorianopoulos

Applied Mathematics and Computation, 2022, vol. 430, issue C

Abstract: The envelope of a square complex matrix is a closed and bounded subset of the numerical range which contains the spectrum. We study the envelope of special classes of 3×3 matrices such as the nilpotent and the unitarily reducible matrices through the geometry of its generating cubic curves.

Keywords: Envelope; Cubic curve; Numerical range; 3-By-3 matrices; Flat portions (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:430:y:2022:i:c:s0096300322003459

DOI: 10.1016/j.amc.2022.127271

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