Gilbert Strang (auth.), David Y. Gao, Hanif D. Sherali (eds.)978-0-12-002017-1, 9780387757131, 0387757139, 9780387757148
The articles that comprise this distinguished annual volume for the Advances in Mechanics and Mathematics series have been written in honor of Gilbert Strang, a world renowned mathematician and exceptional person. Written by leading experts in complementarity, duality, global optimization, and quantum computations, this collection reveals the beauty of these mathematical disciplines and investigates recent developments in global optimization, nonconvex and nonsmooth analysis, nonlinear programming, theoretical and engineering mechanics, large scale computation, quantum algorithms and computation, and information theory.
Much of the material, including the various methodologies, is written for nonexperts and is intended to stimulate graduate students and young faculty to venture into this rich domain of research; it will also benefit researchers and practitioners in several areas of applied mathematics, mechanics, and engineering.
Table of contents :
Front Matter….Pages i-xxvii
Maximum Flows and Minimum Cuts in the Plane….Pages 1-11
Variational Principles and Residual Bounds for Nonpotential Equations….Pages 13-23
Adaptive Finite Element Solution of Variational Inequalities with Application in Contact Problems….Pages 25-106
Time—Frequency Analysis of Brain Neurodynamics….Pages 107-136
Nonconvex Optimization for Communication Networks….Pages 137-196
Multilevel (Hierarchical) Optimization: Complexity Issues, Optimality Conditions, Algorithms….Pages 197-221
Central Path Curvature and Iteration-Complexity for Redundant Klee—Minty Cubes….Pages 223-256
Canonical Duality Theory: Connections between Nonconvex Mechanics and Global Optimization….Pages 257-326
Quantum Computation and Quantum Operations….Pages 327-347
Ekeland Duality as a Paradigm….Pages 349-376
Global Optimization in Practice:State of the Art and Perspectives….Pages 377-404
Two-Stage Stochastic Mixed-Integer Programs: Algorithms and Insights….Pages 405-435
Dualistic Riemannian Manifold Structure Induced from Convex Functions….Pages 437-464
NMR Quantum Computing….Pages 465-520
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