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Nonlinear Programming Techniques for Equilibria - Mauro Passacantando,Marco Castellani,Massimo Pappalardo,Giancarlo Bigi

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2019-12-10
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This book considers a range of problems in operations research, which are formulated through various mathematical models such as complementarity, variational inequalities, multiobjective optimization, fixed point problems, noncooperative games and inverse optimization. Moreover, the book subsumes all these models under a common structure that allows them to be formulated in a unique format: the Ky Fan inequ ... Visas aprašymas

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This book considers a range of problems in operations research, which are formulated through various mathematical models such as complementarity, variational inequalities, multiobjective optimization, fixed point problems, noncooperative games and inverse optimization. Moreover, the book subsumes all these models under a common structure that allows them to be formulated in a unique format: the Ky Fan inequality. It subsequently focuses on this unifying equilibrium format, providing a comprehensive overview of the main theoretical results and solution algorithms, together with a wealth of applications and numerical examples. Particular emphasis is placed on the role of nonlinear optimization techniques ¿ e.g. convex optimization, nonsmooth calculus, proximal point and descent algorithms ¿ as valuable tools for analyzing and solving Ky Fan inequalities.

Daugiau informacijos

Autorius Mauro Passacantando, Marco Castellani, Massimo Pappalardo, Giancarlo Bigi
Leidėjas Springer Nature Switzerland
Series EURO Advanced Tutorials on Operational Research
Išleidimo metai 2019
Viršelio tipas Minkšti viršeliai
EAN 9783030130923
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70,52 € 94,03 €