Advances in Applied Mathematics and Global Optimization: In Honor of Gilbert Strang

Hardcover | March 13, 2009

EditorDavid Y. Gao, Hanif D. Sherali

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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.

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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 reve...

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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 reve...

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...

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Format:HardcoverDimensions:548 pages, 9.25 × 6.1 × 0 inPublished:March 13, 2009Publisher:Springer USLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0387757139

ISBN - 13:9780387757131

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Table of Contents

Constrained Optimism.- Biographical Summary of Professor Gilbert Strang.- List of Publications of Professor Gilbert Strang.- 1 Maximum Flows and Minimum Cuts in the Plane.- 2 Variational Principles and Residual Bounds for Non-Potential Equations.- 3 Adaptive Finite Element Solution of Variational Inequalities with Applications in Contact Problems.- 4 Time-Frquency Analysis of Brain Neuro-Dynamics.- 5 Nonconvex Optimization in Communication Systems.- 6 Multilevel (Hierarchical) Optimization: Complexity Issues, Optimality Conditions, Algorithms.- 7 Central Path Curvature and Iteration-Complexity for Redundant Klee-Minty Cubes.- 8 Canonical Duality Theory: Connections Between Nonconvex Mechanics and Global Optimization.- 9 Quantum Computation and Quantum Operations.- 10 Ekeland Duality as a Paradigm.- 11 Global Optimization in Practice: State-of-Art and Perspectives.- 12 Two-Stage Stochastic Mixed-Integer Programs: Algorithms and Insights.- 13 Dualistic Reimannian Manifold Structure Induced From Convex Functions.- 14 NMR Quantum Computing.