Articles liés à Convexity and Well-Posed Problems
Synopsis
This book studies the problems of stability and well-posedness, in the convex case. Stability means the basic parameters of a minimum problem do not vary much if we slightly change the initial data, while well-posedness means 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.
This book contains a 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 (CMS BOOKS IN MATHEMATICS)
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Springer, New York, 2006
ISBN 10 : 0387287191
ISBN 13 : 9780387287195
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Vendeur : Second Story Books, ABAA, Rockville, MD, Etats-Unis
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Hardcover. Octavo, xiv, 305 pages. In Very Good condition. Spine is brown with white print. Boards in yellow and brown paper with white and brown print. NOTE: Shelved in Netdesk Column P. 1389952. FP New Rockville Stock. N° de réf. du vendeur 1389952
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Convexity and Well-Posed Problems
Vendeur : Books Puddle, New York, NY, Etats-Unis
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Etat : New. pp. 320. N° de réf. du vendeur 26281712
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Convexity and Well-Posed Problems
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Etat : New. pp. 320 46 Illus. N° de réf. du vendeur 7599023
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Convexity and Well-Posed Problems
Vendeur : Biblios, Frankfurt am main, HESSE, Allemagne
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Etat : New. pp. 320. N° de réf. du vendeur 18281722
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Convexity And Well-posed Problems (cms Books In Mathematics)
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Convexity And Well-posed Problems (cms Books In Mathematics)
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Etat : New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide. N° de réf. du vendeur ABNR-84265
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Convexity and Well-Posed Problems (CMS Books in Mathematics)
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Convexity And Well-Posed Problems
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Convexity and Well-Posed Problems (CMS Books in Mathematics)
Vendeur : California Books, Miami, FL, Etats-Unis
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Convexity and Well-Posed Problems (Hardcover)
Edité par
Springer-Verlag New York Inc., New York, NY, 2005
ISBN 10 : 0387287191
ISBN 13 : 9780387287195
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Vendeur : Grand Eagle Retail, Bensenville, IL, Etats-Unis
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Hardcover. Etat : new. Hardcover. This book deals mainly with the study of convex functions and their behavior from the point of view of stability with respect to perturbations. We shall consider convex functions from the most modern point of view: a function is de?ned to be convex whenever its epigraph, the set of the points lying above the graph, is a convex set. Thus many of its properties can be seen also as properties of a certain convex set related to it. Moreover, we shall consider extended real valued functions, i. e. , functions taking possibly the values?? and +? The reason for considering the value +? is the powerful device of including the constraint set of a constrained minimum problem into the objective function itself (by rede?ning it as +? outside the constraint set). Except for trivial cases, the minimum value must be taken at a point where the function is not +?, hence at a point in the constraint set. And the value ?? is allowed because useful operations, such as the inf-convolution, can give rise to functions valued?? even when the primitive objects are real valued. Observe that de?ning the objective function to be +? outside the closed constraint set preserves lower semicontinuity, which is the pivotal and mi- mal continuity assumption one needs when dealing with minimum problems. Variational calculus is usually based on derivatives. We shall consider convex functions from the most modern point of view: a function is de?ned to be convex whenever its epigraph, the set of the points lying above the graph, is a convex set. Except for trivial cases, the minimum value must be taken at a point where the function is not +?, hence at a point in the constraint set. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9780387287195
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