Complementarity Functions in Optimization

Jein-Shan Chen (Autor)

Buch | Hardcover

XVII, 577 Seiten

2026
Springer International Publishing (Verlag)
978-3-032-06923-8 (ISBN)

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Complementarity functions lie at the heart of modern optimization, offering a powerful way to reformulate the Karush-Kuhn-Tucker (KKT) conditions and the original optimization problem into more tractable forms, either as systems of equations or unconstrained minimization problems. These reformulations not only deepen theoretical understanding but also inspire innovative approaches for solving complex optimization challenges. This book centers on complementarity functions, offering a "big picture" view of their features and generating ideas for constructing new complementarity functions. The authors provide a comprehensive exploration of their key properties, structural features, and principles for constructing new complementarity functions while also demonstrating their value in algorithmic applications. This monograph carefully balances rigorous mathematical analysis with practical insight. It preserves the historical development of complementarity functions while guiding readers through their modern extensions and applications. It is an essential reference for graduate students, researchers, and practitioners in optimization, variational analysis, and applied mathematics.

Backgrounds and Overviews.- The Nonlinear Complementarity Functions.- General Complementarity Functions.- Optimization Algorithms using Complementarity Functions.- Dynamical Methods using Complementarity Functions.

Erscheinungsdatum	29.11.2025
Reihe/Serie	Springer Optimization and Its Applications
Zusatzinfo	XVII, 577 p. 55 illus., 54 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Schlagworte	Complementarity functions • Constructions of C-function • Merit function approach • Nonsmooth function approach • Regularization approach • Smoothing function approach
ISBN-10	3-032-06923-8 / 3032069238
ISBN-13	978-3-032-06923-8 / 9783032069238
Zustand	Neuware