Advances in applied mathematics and global optimization : in honor of Gilbert Strang
著者
書誌事項
Advances in applied mathematics and global optimization : in honor of Gilbert Strang
（Advances in mechanics and mathematics / edited by David Y. Gao and Ray W. Ogden, v. 17）
Springer, c2009
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注記
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
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.
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