Advances in Applied Mathematics and Global Optimization [electronic resource] : In Honor of Gilbert Strang /
International Conference on Complementarity, Duality and Global Optimization(1st :2005 :Blacksburg, Va.)
International Conference on Complementarity, Duality and Global Optimization
Gao, David Y.editor.
Sherali, Hanif D.editor.
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.
Dedicated to Gilbert Strang on the occasion of his 70th birthday.
Includes bibliographical references.
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 -- Time—Frequency 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 Klee—Minty 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.
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.
Calculus of variations.
Mechanical engineering.
Computer mathematics.
Computer software.
Calculus of Variations and Optimal Control; Optimization.
Mechanical Engineering.
Computational Mathematics and Numerical Analysis.
Mathematical Software.
Applied mathematics
Global optimization
Complementarity
Duality
Advances in mechanics and mathematics