Convexity and Well-Posed Problems

Name: Convexity and Well-Posed Problems
Brand: Springer-Verlag New York Inc.
SKU: 9781441921116
Price: 20440 HUF
Availability: InStock

Szerző: Roberto Lucchetti

Nyelv:

Kötés: Puha kötésű

Kiadó: Springer-Verlag New York Inc.

Elérhetőség: Beszállítói készleten alacsony példányszámban

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This book deals with the study of convex functions and of their behavior from the point of view of s...

Információk a könyvről

Szerző

Roberto Lucchetti

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

2010

oldal

305

EAN

9781441921116

ISBN

1441921117

Enbook ID

01420969

Kiadó

Springer-Verlag New York Inc.

Súly

492

Méretek

155 x 235 x 20

Teljes leírás

This book deals with the study of convex functions and of their behavior from the point of view of stability with respect to perturbations. Convex functions are considered from the modern point of view that underlines the geometrical aspect: thus a function is defined as convex whenever its graph is a convex set.§A primary goal of this book is to study the problems of stability and well-posedness, in the convex case. Stability means that the basic parameters of a minimum problem do not vary much if we slightly change the initial data. On the other hand, well-posedness means that points with values close to the value of the problem must be close to actual solutions. In studying this, one is naturally led to consider perturbations of functions and of sets.§While there exist numerous classic texts on the issue of stability, there only exists one book on hypertopologies [Beer 1993]. The current book differs from Beer s in that it contains a much more condensed explication of hypertopologies and is intended to help those not familiar with hypertopologies learn how to use them in the context of optimization problems.

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Convexity and Well-Posed Problems

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