Self-Regularity (Princeton Series in Applied Mathematics)
by Jiming Peng, Cornelis Roos, and Tamas Terlaky
Research on interior-point methods (IPMs) has dominated the field of mathematical programming for the last two decades. Two contrasting approaches in the analysis and implementation of IPMs are the so-called small-update and large-update methods, although, until now, there has been a notorious gap between the theory and practical performance of these two strategies. This book comes close to bridging that gap, presenting a new framework for the theory of primal-dual IPMs based on the notion of th...
Parametric Integer Optimization (Mathematical Research, #39)
by Bernd Bank and Reinhard Mandel
Global Optimization
Global optimisation is an important area of applied mathematics that has shown fast and growing development during the last few decades, and deals with the optimisation of a function or a set of functions according to some criteria. In this book the authors discuss the theory, developments and applications of global optimisation including: particle swarm optimisation with re-initialisation strategies for continuous global optimisation; particle swarm global optimisation for orbital manoeuvres; f...
Unilateral Variational Analysis In Banach Spaces (In 2 Parts)
by Lionel Thibault
The monograph provides a detailed and comprehensive presentation of the rich and beautiful theory of unilateral variational analysis in infinite dimensions. It is divided into two volumes named Part I and Part II. Starting with the convergence of sets and the semilimits and semicontinuities of multimappings, the first volume develops the theories of tangent cones, of subdifferentials, of convexity and duality in locally convex spaces, of extended mean value inequalities in absence of differentia...
Operations Research. Optimization with Matlab. Multiobjective, Quadratic and Mixed Programming
by Perez C
Approximation of Set-Valued Functions
by Nira Dyn, Elza Farkhi, and Alona Mokhov
Smart Power Systems and Smart Grids
by Qiang Lu, Ying Chen, and Xuemin Zhang
The book systematically introduces smart power system design and its infrastructure, platform and operating standards. It focuses on multi-objective optimization and illustrates where the intelligence of the system lies. With abundant project data, this book is a practical guideline for engineers and researchers in electrical engineering, as well as power network designers and managers in administration.
Optimization in a Complex World (Springer Optimization and its Applications, #799)
by Victor Korotkikh
Existing concepts of complexity provide useful classifications, but have not resulted in laws of complex systems as much as the concept of energy. At the same time, it is still believed that understanding of complexity may provide the ability to optimize a complex system efficiently. As complex systems play an increasingly important role in human activities, the solution of the problem becomes a critical issue. The book suggests a new perspective to the problem by recognizing the possibility of...
Hybrid Dynamical Systems
by Rafal Goebel, Ricardo G Sanfelice, and Andrew R. Teel
Hybrid dynamical systems exhibit continuous and instantaneous changes, having features of continuous-time and discrete-time dynamical systems. Filled with a wealth of examples to illustrate concepts, this book presents a complete theory of robust asymptotic stability for hybrid dynamical systems that is applicable to the design of hybrid control algorithms--algorithms that feature logic, timers, or combinations of digital and analog components. With the tools of modern mathematical analysis, Hyb...
Hamilton-Jacobi-Bellman Equations (Radon Series on Computational and Applied Mathematics)
Optimal feedback control arises in different areas such as aerospace engineering, chemical processing, resource economics, etc. In this context, the application of dynamic programming techniques leads to the solution of fully nonlinear Hamilton-Jacobi-Bellman equations. This book presents the state of the art in the numerical approximation of Hamilton-Jacobi-Bellman equations, including post-processing of Galerkin methods, high-order methods, boundary treatment in semi-Lagrangian schemes, reduce...
This volume collects the expanded notes of four series of lectures given on the occasion of the CIME course on Nonlinear Optimization held in Cetraro, Italy, from July 1 to 7, 2007. The Nonlinear Optimization problem of main concern here is the problem n of determining a vector of decision variables x ? R that minimizes (ma- n mizes) an objective function f(*): R ? R,when x is restricted to belong n to some feasible setF? R , usually described by a set of equality and - n n m equality constraint...
Multilevel Landscapes in Combinatorial Optimisation (CMS Press Paper S., No. 02/1M/93)
by Chris Walshaw and Martin Everett
New Trends in Control Theory is a graduate-level monographic textbook. It is a contemporary overview of modern trends in control theory. The introductory chapter gives the geometrical and quantum background, which is a necessary minimum for comprehensive reading of the book. The second chapter gives the basics of classical control theory, both linear and nonlinear. The third chapter shows the key role that Euclidean group of rigid motions plays in modern robotics and biomechanics. The fourth cha...
Organic Nonlinear Optical Materials (Advances in Nonlinear Optics)
by Ch. Bosshard, Peter Gunter, M. Florsheimer, J. Hulliger, P. Kaatz, Ph. Pretre, and K Sutter
Organic Nonlinear Optical Materials provides an extensive description of the preparation and characterization of organic materials for applications in nonlinear and electro-optics. The book discusses the fundamental optimization and practical limitations of a number of figures of merit for various optical parameters and gives a clinical appraisal of the potential of organic materials for applicators in optical technology. Among the topics addressed are the basic molecular design of ;nonlinear op...
Introduction to Continuous Optimization
by Niclas Andreasson, Anton Evgrafov, Michael Patriksson, Emil Gustavsson, and Magnus Onnheim
The book is devoted to one of the important areas of theoretical and experimental physics-the calculation of the accuracy of measurements of fundamental physical constants. To achieve this goal, numerous methods and criteria have been proposed. However, all of them are focused on identifying a posteriori uncertainty caused by the idealization of the model and its subsequent computerization in comparison with the physical system. This book focuses on formulating an a priori interaction between th...
Mathematics with MATLAB. Functions, Interpolation and Optimization
by Mendel H
Meta-Heuristics Optimization Algorithms in Engineering, Business, Economics, and Finance
Meta-Heuristics Optimization Algorithms in Engineering, Business, Economics, and Finance explores the emerging study of meta-heuristics optimization algorithms and methods and their role in innovated real world practical applications. This book is a collection of research on the areas of meta-heuristics optimization algorithms in engineering, business, economics, and finance, and aims to be a comprehensive reference for decision makers, managers, engineers, researchers, scientists, financiers, a...