Convexity and Well-Posed Problems (eBook, PDF)

Convexity and Well-Posed Problems (eBook, PDF)

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Intended for graduate students especially in mathematics, physics, andeconomics, this book deals with the study of convex functions and oftheir behavior from the point of view of stability with respect toperturbations. The primary goal is the study of the problems ofstability and well-posedness, in the convex case. Stability means thebasic parameters of a minimum problem do not vary much if we slightlychange the initial data. Well-posedness means that points with valuesclose to the value of the problem must be close to actual solutions.In studying this, one is naturally led to consider perturb...

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