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2011•Computational Mathematics and Mathematical PhysicsRequires access

On the parametrization of classes of normal Hankel matrices

Vadim Nikolaevich Chugunov

Open publisher page 8 citations

Abstract

The normal Hankel problem is to characterize matrices that are simultaneously normal and Hankel. It is shown that the descriptions of all classes of normal Hankel matrices can be regarded as constructive procedures. A parametrization of the available classes is performed; that is, a set of parameters is proposed whose values allow one to uniquely determine a matrix belonging to this class.

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What this paper is about

The normal Hankel problem is to characterize matrices that are simultaneously normal and Hankel. It is shown that the descriptions of all classes of normal Hankel matrices can be regarded as constructive procedures. A parametrization of the available classes is performed; that is, a set of parameters is proposed whose values allow one to uniquely determine a matrix belonging to this class.

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OpenAlex reports 8 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The normal Hankel problem is to characterize matrices that are simultaneously normal and Hankel. It is shown that the descriptions of all classes of normal Hankel matrices can be regarded as constructive procedures. A parametrization of the available classes is performed; that is, a set of parameters is proposed whose values allow one to uniquely determine a matrix belonging to this class.

Key concepts: Hankel matrix, Mathematics, Parametrization (atmospheric modeling), Constructive, Class (philosophy), Matrix (chemical analysis), Pure mathematics, Hankel transform

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