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.

Contributors are renowned scientists in the field Contributions represent a full range of topics enveloping complementarity, duality, and global optimization Each article is followed by an extensive list of references

Autorentext

Gao has written five books with Springer: Complementarity, Duality and Symmetry in Nonlinear Mechanics.- *Advances in Mechanics and Mathematics Volume I.-*Advances in Mechanics and Mathematics Volume II .- *Nonsmooth/Nonconvex Mechanics.-*Duality Principles in Nonconvex Systems. Sherali has written Reformulation-Linearization Technique for Solving Discrete and Continuous Nonconvex Problems with Springer as well as two other books with John Wiley & Sons.

Inhalt
Maximum Flows and Minimum Cuts in the Plane.- Variational Principles and Residual Bounds for Nonpotential Equations.- Adaptive Finite Element Solution of Variational Inequalities with Application in Contact Problems.- TimeFrequency Analysis of Brain Neurodynamics.- Nonconvex Optimization for Communication Networks.- Multilevel (Hierarchical) Optimization: Complexity Issues, Optimality Conditions, Algorithms.- Central Path Curvature and Iteration-Complexity for Redundant KleeMinty Cubes.- Canonical Duality Theory: Connections between Nonconvex Mechanics and Global Optimization.- Quantum Computation and Quantum Operations.- Ekeland Duality as a Paradigm.- Global Optimization in Practice:State of the Art and Perspectives.- Two-Stage Stochastic Mixed-Integer Programs: Algorithms and Insights.- Dualistic Riemannian Manifold Structure Induced from Convex Functions.- NMR Quantum Computing.