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Numerical approximation of the boundary of numerical range of matrix polynomials

โœ Scribed by P. Psarrakos; Ch. Tsitouras

Publisher
John Wiley and Sons
Year
2005
Weight
335 KB
Volume
2
Category
Article
ISSN
1611-8170

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โœฆ Synopsis

The numerical range of an n ร— n matrix polynomial

, and plays an important role in the study of matrix polynomials. In this paper, we describe a methodology for the illustration of its boundary, โˆ‚W (P ), using recent theoretical results on numerical ranges and algebraic curves.

๐Ÿ“œ SIMILAR VOLUMES

The Numerical Ranges of Automorphic Comp
The Numerical Ranges of Automorphic Composition Operators
โœ Paul S. Bourdon; Joel H. Shapiro ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 136 KB

We investigate the shape of the numerical range for composition operators induced on the Hardy space H 2 by conformal automorphisms of the unit disc. We show that usually, but not always, such operators have numerical ranges whose closures are discs centered at the origin. Surprising open questions