The exponent of Hölder calmness for polynomial systems: Connections between polynomial degree and exponent of Hölder calmness

The exponent of Hölder calmness for polynomial systems: Connections between polynomial degree and exponent of Hölder calmness

von Jan Heerda
Taschenbuch - 9783838134420
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Beschreibung

This work is concerned with an analysis of Hölder calmness, a stability property derived from the concept of calmness. On the basis of characterizations for sublevel sets, procedures to determine points in such sets under a Hölder calmness assumption are analyzed. Also sufficient conditions for Hölder calmness of sublevel sets and of inequality systems will be given and examined. Further, since Hölder calmness of nonempty solution sets of finite inequality systems may be described in terms of error bounds, the local propositions are amplified to global ones. As an application the case of sublevel sets of polynomials and of general solution sets of polynomial systems is investigated. The question to be answered is in which way the maximal degree of the involved polynomials is connected to the exponent of Hölder calmness or of the error bound for the system in question.

Details

Verlag Südwestdeutscher Verlag für Hochschulschriften AG Co. KG
Ersterscheinung Juli 2015
Maße 220 mm x 150 mm x 10 mm
Gewicht 255 Gramm
Format Taschenbuch
ISBN-13 9783838134420
Auflage Nicht bekannt
Seiten 160

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