On stability and the Łojasiewicz exponent at infinity of coercive polynomials

Title:

On stability and the Łojasiewicz exponent at infinity of coercive polynomials

Creator:

Bajbar , Tomáš and Behrends, Sönke

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:a5f9cda0-b74a-4284-9bda-5e65adfc8379
uuid:a5f9cda0-b74a-4284-9bda-5e65adfc8379
doi:10.14736/kyb-2019-2-0359

Subject:

coercivity, stability of coercivity, and Łojasiewicz exponent at infinity

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this article we analyze the relationship between the growth and stability properties of coercive polynomials. For coercive polynomials we introduce the degree of stable coercivity which measures how stable the coercivity is with respect to small perturbations by other polynomials. We link the degree of stable coercivity to the Łojasiewicz exponent at infinity and we show an explicit relation between them.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

359-366

Source:

Kybernetika | 2019 Volume:55 | Number:2

Harvested from:

CDK

Metadata only:

false