Advances in applied mathematics and global optimization: in honor of Gilbert Strang

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 andinvestigates 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 fornonexperts 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 INDICE: Constrained Optimism.- 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.

• ISBN: 978-0-387-75713-1
• Editorial: Springer
• Encuadernacion: Cartoné
• Páginas: 520
• Fecha Publicación: 01/02/2009
• Nº Volúmenes: 1
• Idioma: Inglés