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Topic: Optimization theory

	Optimization
		He is especially interested in problems of legislative apportionment, in the connections between apportionment methods and issues in local/global optimization, and in axiomatic approaches and related impossibility theorems.
		Shane Henderson does research on simulation optimization, that is, on optimization problems where the objective function and/or constraint functions are evaluated using simulation.
		He also is intrigued by optimization problems that are naturally viewed from the perspective of functional analysis and its rich duality theory.
	www.orie.cornell.edu /orie/research/fields/optimization/index.cfm (566 words)

	Methods of Optimization
		The goal of the theory is the creation of reliable methods to catch the extremum of a function by an intelligent arrangement of its evaluations (measurements).
		Optimization theory is developed by ingenious and creative people, who regularly appeal to vivid common sense associations, formulating them in a general mathematical form.
		Inaccuracy of the model is emphasized in optimization problem, since optimization usually brings the control parameters to the edge, where a model may fail to accurately describe the prototype.
	www.math.utah.edu /~cherk/teach/opt/course.html (1827 words)

	SQL Server Bible: Optimization Theory
		Optimization Theory addesses these dependencies and provides a framework for planning and developing an optimized data store.
		In Optimization Theory, each layer is enabled by the supporting layer.
		It's far easier to write clean set-based queries, tune the indexes, reduce locking, and fine-tune a database with the simpler, generalized, and normalized data schema than it is to optimize a database with an overly complex schema.
	www.sqlserverbible.com /opttheory.htm (431 words)

	Preface: Convex Analysis and Optimization
		The idea here is to concentrate on convex analysis and illustrate its application to minimax theory through the minimax theorems of Chapters 2 and 3, and to constrained optimization theory through the Nonlinear Farkas' Lemma of Chapter 3 and the optimality conditions of Chapter 4.
		Pedagogically, it appears desirable to postpone the introduction of conjugacy theory until it is needed for the limited purposes of Fenchel duality (Chapter 7), and to bypass altogether conjugate saddle function theory, which is what we have done.
		The theory of enhanced Fritz John conditions and pseudonormality are extended in Chapter 6 to the case of a convex programming problem, without assuming the existence of an optimal solution or the absence of a duality gap.
	www.athenasc.com /convexpreface.html (2488 words)

	Amazon.ca: A First Course in Optimization Theory: Books: Rangarajan K. Sundaram (Site not responding. Last check: 2007-10-21)
		If you are planning to study optimization theory and are looking for a good entry point into the subject this book is for you.
		To discuss how optimization problems vary with a set of parameters, in particular if they vary continuously with the set of parameters, the author introduces the concept of a corespondence.
		With further reading in real analysis and topology, readers will be well on their way to understanding more advanced treatments of optimization theory that use nonlinear functional analysis and differential topology.
	www.amazon.ca /First-Course-Optimization-Theory/dp/0521497701 (1620 words)

	Optimization.html (Site not responding. Last check: 2007-10-21)
		Once the optimization targets have been developed, a numerical optimization loop is followed which uses the Levenberg-Marquardt algorithm to converge to the optimized plasma shape that provides the best compromise between the various target functions.
		After an optimized plasma shape has been determined, a set of magnetic coils that produce this shape must be synthesized.
		The coil optimization is based on minimizing the normal component of magnetic field at the plasma surface.
	www.ornl.gov /sci/fed/Theory/stci/Optimization.html (333 words)

	CiteULike: A First Course in Optimization Theory (Site not responding. Last check: 2007-10-21)
		This book introduces students to optimization theory and its use in economics and allied disciplines.
		The first of its three parts examines the existence of solutions to optimization problems in Rn, and how these solutions may be identified.
		The second part explores how solutions to optimization problems change with changes in the underlying parameters, and the last part provides an extensive description of the fundamental principles of finite- and infinite-horizon dynamic programming.
	www.citeulike.org /user/toomash/article/106146 (196 words)

	CMPUT 670 - Numerical Optimization: Theory and Algorithms
		A good example of the pervasiveness of optimization in computing science is machine learning, where almost every problem involves optimization at its core---be it training neural networks, support vector machines, decision trees, or solving Markov decision processes.
		In fact, optimization forms one of the core topics of theoretical computing science, both in terms of complexity and approximation analysis, and in terms of algorithm design (although much, but not all, work in theoretical computing science is focused primarily on discrete optimization).
		Although it might seem peculiar to focus on continuous optimization in a computing science course, these problems are pervasive in most areas of applied computing, and moreover, form the foundation for many key ideas in discrete optimization.
	www.cs.ualberta.ca /~dale/cmput670 (497 words)

	Amazon.ca: Optimization Theory and Methods : Nonlinear Programming: Books: Wenyu Sun,Ya-xiang Yuan (Site not responding. Last check: 2007-10-21)
		This book, a result of the author's teaching and research experience in various universities and institutes over the past ten years, can be used as a textbook for an optimization course for graduates and senior undergraduates.
		It systematically describes optimization theory and several powerful methods, including recent results.
		Finally, apart from its use for teaching, Optimization Theory and Methods will be very beneficial as a research reference.
	www.amazon.ca /Optimization-Theory-Methods-Nonlinear-Programming/dp/0387249753 (329 words)

	Optimization at IMPA - Group
		My research interests lie in the areas of optimization theory and applications, operations research, and related issues in numerical analysis and computational mathematics.
		Theory and algorithms for solving variational inequality and complementarity problems.
		The theory of 2-regularity for mappings with Lipschitzian derivatives and its applications to optimality conditions.
	w3.impa.br /~optim/bod-solo.html (810 words)

	Wiley::Engineering Optimization: Theory and Practice, 3rd Edition
		A rigorous mathematical approach to identifying a set of design alternatives and selecting the best candidate from within that set, engineering optimization was developed as a means of helping engineers to design systems that are both more efficient and less expensive and to develop new ways of improving the performance of existing systems.
		As a consequence, optimization is now viewed as an indispensable tool of the trade for engineers working in many different industries, especially the aerospace, automotive, chemical, electrical, and manufacturing industries.
		Now, in his latest book, Engineering Optimization, Singiresu S. Rao provides you with the most practical, up-to-date, and comprehensive coverage of new and classical optimization techniques currently in use throughout a wide range of industries.
	www.wiley.com /WileyCDA/WileyTitle/productCd-0471550345.html (495 words)

	Ruszczynski, A.: Nonlinear Optimization.
		Optimization is one of the most important areas of modern applied mathematics, with applications in fields from engineering and economics to finance, statistics, management science, and medicine.
		While many books have addressed its various aspects, Nonlinear Optimization is the first comprehensive treatment that will allow graduate students and researchers to understand its modern ideas, principles, and methods within a reasonable time, but without sacrificing mathematical precision.
		Andrzej Ruszczynski, a leading expert in the optimization of nonlinear stochastic systems, integrates the theory and the methods of nonlinear optimization in a unified, clear, and mathematically rigorous fashion, with detailed and easy-to-follow proofs illustrated by numerous examples and figures.
	press.princeton.edu /titles/8219.html (445 words)

	[No title]
		Mathematical Optimization and Economic Theory provides a self-contained introduction to and survey of mathematical programming and control techniques and their applications to static and dynamic problems in economics, respectively.
		It is distinctive in showing the unity of the various approaches to solving problems of constrained optimization that all stem back directly or indirectly to the method of Lagrange multipliers.
		Mathematicians and other researchers who are interested in learning about the applications of mathematical optimization in economics, as well as students at the advanced undergraduate and beginning graduate level, will benefit from the information that this book offers.
	ec-securehost.com /SIAM/CL39.html (435 words)

	Decison Tree for Optimization Software
		Optimization is a very lively area, hence standard textbooks become outdated very fast.
		Bertsimas, D. and Tsitsiklis, J.: Introduction to Linear Optimization.
		Roos, C., Terlaky T. and Vial, J. Ph.: Theory and Algorithms for Linear Optimization: An Interior Point Approach.
	plato.asu.edu /sub/tutorials.html (809 words)

	65K: Mathematical programming, optimization and variational techniques
		Optimization theory seeks to discover the means to find points where (real-valued) functions take on maximal or minimal values.
		Topics in optimization also appear in Calculus of variation (typically seeking functions, curves, or other geometric objects which are optimal in some way); global analysis; and operations research (typically seeking choices of parameters to optimize some simple multivariate function).
		Those areas tend to emphasize the theory and application of optimization rather than the computational issues involved.
	www.math.niu.edu /~rusin/known-math/index/65KXX.html (222 words)

	Jorgensen's Optimization Theory
		Dale W. Jorgensen (1963, 1967, 1971) proposed a different investment theory which was derived, in part, from the Fisher-Hirshleifer theory.
		Of course, Jorgensen's (1963) theory is less about investment and more about optimal capital.
		If investment, as Friedrich Hayek (1941) and Trygve Haavelmo (1960) argued, is seen as the adjustment from a given level of capital to the optimal level of capital stock, then, in Jorgensen, investment is instantaneous.
	cepa.newschool.edu /het/essays/capital/jorgenoptim.htm (631 words)

	Optimization Online - The mathematics of eigenvalue optimization
		Abstract: Optimization problems involving the eigenvalues of symmetric and nonsymmetric matrices present a fascinating mathematical challenge.
		Such problems arise often in theory and practice, particularly in engineering design, and are amenable to a rich blend of classical mathematical techniques and contemporary optimization theory.
		I discuss the convex analysis of spectral functions and invariant matrix norms, touching briefly on semidefinite representability, and then outlining two broader algebraic viewpoints based on hyperbolic polynomials and Lie algebra.
	www.optimization-online.org /DB_HTML/2003/04/640.html (227 words)

	Fuzzy Optimization and Decision Making A Journal of Modeling and Computation Under Uncertainty
		However, no professional journal, either on the optimization side or on the fuzzy set theory side, is published specifically to encourage the potential integration of the rigorous optimization theory and the widely-applicable fuzzy technology.
		There is a need for a new journal devoted to the theory and practice of integrating fuzzy technology into optimization and decision making to better solve those engineering, mathematical, and managerial problems involving non-probabilistic uncertainty.
		The research and practice of fuzzy optimization and decision making for special interest groups and special geographic locations will be accommodated by publishing special issues with guest editors.
	www.ise.ncsu.edu /fangroup/fuzzy.dir/FODM.html (1499 words)

	Optimization at UW-Madison
		In solving optimization problems, we aim to find the values of the variables in a system that optimize the performance of that system (in the sense of maximizing or minimizing some mathematical function), while satisfying certain constraints that are imposed by the nature of the problem (where the constraints are also defined by mathematical functions).
		Closely related to optimization problems are equilibrium problems where, rather than an objective function, there is a set of conditions that require different parts of the system to be in balance.
		Optimization and sensitivity analysis: Bibliography and links to other sites.
	www.cs.wisc.edu /areas/math-prog (259 words)

	The KLI Theory Lab - keywords - optimization
		Hodgson, G.M. Optimization and evolution: Winter's critique of Friedman revisited.
		Hosseini, H. The archaic, the obsolete and the mythical in neoclassical economics: Problems with the rationality and optimizing assumptions of the Jevons-Marshallian system.
		Smith, E.A. Optimization theory in anthropology: Applications and critiques.
	www.kli.ac.at /theorylab/Keyword/O/optimization.html (383 words)

	Amazon.com: Optimization Theory: Books: Hubertus Th. Jongen,Klaus Meer,Eberhard Triesch (Site not responding. Last check: 2007-10-21)
		Optimization Theory is becoming a more and more important mathematical as well as interdisciplinary area, especially in the interplay between mathematics and many other sciences like computer science, physics, engineering, operations research, etc.
		Audience: The book can be adapted well as an introductory textbook into optimization theory on a basis of a two semester course; however, each of its parts can also be taught separately.
		Nonlinear Optimization in Finite Dimensions - Morse Theory, Chebyshev Approximation, Transversality, Flows, Parametric Aspects (Nonconvex Optimization and its Applications Volume 47) by Hubertus Th.
	www.amazon.com /Optimization-Theory-Hubertus-Th-Jongen/dp/1402080980 (955 words)

	CiteULike: Optimization by Vector Space Methods (Series in Decision and Control) (Site not responding. Last check: 2007-10-21)
		This problem can be realistically formulated and logically analyzed with optimization theory.
		This book shows engineers how to use optimization theory to solve complex problems.
		Unifies the large field of optimization with a few geometric principles.
	www.citeulike.org /user/eyliu/article/228152 (193 words)

	Engineering Optimization - Theory and Practice (3rd Edition)
		A comprehensive professional reference or graduate-level textbook, presenting the theory, techniques, and applications of engineering optimization.
		Essential proofs and explanations of the various techniques are presented in a simple manner, and new concepts are illustrated with numerical examples.
		The coverage includes linear and nonlinear programming, integer programming, and stochastic programming techniques, as well as some recently developed methods such as genetic algorithms, simulated annealing, neural-network-based methods, and fuzzy optimization.
	www.knovel.com /knovel2/Toc.jsp?BookID=1100 (123 words)

	Stock Investing, Portfolio Theory, Portfolio Optimization & Investment Software.
		The application of the mathematics of digital signal processing to financial network theory has resulted in a revolutionary new approach to risk management and portfolio selection.
		The Digital Portfolio Theory model is presented in the PSS User's Guide.
		It presents the theoretical transformation of financial theory using signal processing to describe risk.
	www.portfolionetworks.com /main.html (333 words)

	McMaster Optimization Conference 2003
		The 3rd annual McMaster Optimization Conference: Theory and Applications (MOPTA 03) will be held at the campus of McMaster University in Hamilton, Ontario, Canada, July 30 - August 1, 2003.
		The conference is planned as an annual event aiming to bring together a diverse group of people from both discrete and continuous optimization, working on both theoretical and applied aspects.
		Our target is to present a diverse set of exciting new developments from different optimization areas while at the same time providing a setting which will allow increased interaction among the participants.
	www.cas.mcmaster.ca /~mopta/mopta03 (692 words)

	Richard A. Tapia - Vitae - Publications
		An Introduction to Mathematical Optimization Theory, Jones and Bartlett, in preparation.
		A Convergence Theory for a Class of Quasi-Newton Methods for Constrained Optimization, SIAM Journal on Numerical Analysis, 24 (1987), 1133-1151 (with R. Fontecilla and T. Steihaug).
		A Convergence Theory for the Structured BFGS Secant Method with an Application to Nonlinear Least-Squares, Journal of Optimization Theory and Applications, 61 (1989), 161-178 (with J.E. Dennis and H. Martinez).
	www.caam.rice.edu /~rat/cv/publications (1904 words)

	[No title]
		Over the last ten years, many investigators of problems of combinatorial optimization have come to count on martingale inequalities as versatile tools which let us show that many of the naturally occurring random variables of combinatorial optimization are sharply concentrated about their means---a phenomenon with numerous practical and theoretical consequences.
		This new theory is reshaping almost everything that is known in the probability theory of combinatorial optimization.
		Talagrand’s isoperimetric theory; Two geometric applications of the isoperimetric inequality; Application to the longest-increasing-subsequence problem; Proof of the isoperimetric problem; Application and comparison in the theory of hereditary sets; Suprema of linear functionals; Tail of the assignment problem; Further applications of Talagrand’s isoperimetric inequalities; Final considerations on related work; Bibliography; Index.
	www.ec-securehost.com /SIAM/CB69.html (664 words)

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