Convexity and Well-Posed Problems
Roberto Lucchetti
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Description for Convexity and Well-Posed Problems
Hardback. 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. This book contains an explication of hypertopologies and tells how to use them in the context of optimization problems. Series: CMS Books in Mathematics. Num Pages: 319 pages, biography. BIC Classification: PBM. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 19. Weight in Grams: 663.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2005
Publisher
Springer-Verlag New York Inc. United States
Number of pages
319
Condition
New
Series
CMS Books in Mathematics
Number of Pages
305
Place of Publication
New York, NY, United States
ISBN
9780387287195
SKU
V9780387287195
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Convexity and Well-Posed Problems
From the reviews: "In this book the author focuses on the study of convex functions and their properties under perturbations of data. In particular, he illustrates the ideas of stability and well-posedness and the connections between them. … This book is intended for graduate students and researchers especially in mathematics, physics and economics; to facilitate ... Read more