Anintroduction To Continuous Optimization Second Edition

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Introduction to Continuous Optimization

Author : Roman A. Polyak
Publisher : Springer Nature
ISBN 13 : 3030687139
Total Pages : 552 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Introduction to Continuous Optimization by : Roman A. Polyak

Download or read book Introduction to Continuous Optimization written by Roman A. Polyak and published by Springer Nature. This book was released on 2021-04-29 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained monograph presents the reader with an authoritative view of Continuous Optimization, an area of mathematical optimization that has experienced major developments during the past 40 years. The book contains results which have not yet been covered in a systematic way as well as a summary of results on NR theory and methods developed over the last several decades. The readership is aimed to graduate students in applied mathematics, computer science, economics, as well as researchers working in optimization and those applying optimization methods for solving real life problems. Sufficient exercises throughout provide graduate students and instructors with practical utility in a two-semester course in Continuous Optimization. The topical coverage includes interior point methods, self-concordance theory and related complexity issues, first and second order methods with accelerated convergence, nonlinear rescaling (NR) theory and exterior point methods, just to mention a few. The book contains a unified approach to both interior and exterior point methods with emphasis of the crucial duality role. One of the main achievements of the book shows what makes the exterior point methods numerically attractive and why. The book is composed in five parts. The first part contains the basics of calculus, convex analysis, elements of unconstrained optimization, as well as classical results of linear and convex optimization. The second part contains the basics of self-concordance theory and interior point methods, including complexity results for LP, QP, and QP with quadratic constraint, semidefinite and conic programming. In the third part, the NR and Lagrangian transformation theories are considered and exterior point methods are described. Three important problems in finding equilibrium are considered in the fourth part. In the fifth and final part of the book, several important applications arising in economics, structural optimization, medicine, statistical learning theory, and more, are detailed. Numerical results, obtained by solving a number of real life and test problems, are also provided.

An Introduction to Continuous Optimization

Author : Niclas Andreasson
Publisher : Courier Dover Publications
ISBN 13 : 0486802876
Total Pages : 515 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis An Introduction to Continuous Optimization by : Niclas Andreasson

Download or read book An Introduction to Continuous Optimization written by Niclas Andreasson and published by Courier Dover Publications. This book was released on 2020-01-15 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: This treatment focuses on the analysis and algebra underlying the workings of convexity and duality and necessary/sufficient local/global optimality conditions for unconstrained and constrained optimization problems. 2015 edition.

An Introduction to Continuous Optimization

Author : Niclas Andréasson
Publisher :
ISBN 13 : 9789144115290
Total Pages : pages
Book Rating : 4.1/5 (152 download)

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Book Synopsis An Introduction to Continuous Optimization by : Niclas Andréasson

Download or read book An Introduction to Continuous Optimization written by Niclas Andréasson and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Anintroduction to Continuous Optimization / Second Edition

Author : Niclas Andreasson
Publisher : Studentlitteratur AB
ISBN 13 : 9789144060774
Total Pages : 484 pages
Book Rating : 4.0/5 (67 download)

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Book Synopsis Anintroduction to Continuous Optimization / Second Edition by : Niclas Andreasson

Download or read book Anintroduction to Continuous Optimization / Second Edition written by Niclas Andreasson and published by Studentlitteratur AB. This book was released on 2013-10-01 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimisation, or mathematical programming, is a fundamental subject within decision science and operations research, in which mathematical decision models are constructed, analysed, and solved. The books focus lies on providing a basis for the analysis of optimisation models and of candidate optimal solutions for continuous optimisation models. The main part of the mathematical material therefore concerns the analysis and linear algebra that underlie the workings of convexity and duality, and necessary/sufficient local/global optimality conditions for continuous optimisation problems. Natural algorithms are then developed from these optimality conditions, and their most important convergence characteristics are analysed. The book answers many more questions of the form Why? and Why not? than How?. We use only elementary mathematics in the development of the book, yet are rigorous throughout. The book provides lecture, exercise and reading material for a first course on continuous optimisation and mathematical programming, geared towards third-year students, and has already been used as such for nearly ten years. The preface to the second edition describes the main changes made since the first, 2005, edition. The book can be used in mathematical optimisation courses at any mathematics, engineering, economics, and business schools. It is a perfect starting book for anyone who wishes to develop his/her understanding of the subject of optimisation, before actually applying it.

Continuous Optimization

Author : V. Jeyakumar
Publisher : Springer Science & Business Media
ISBN 13 : 0387267719
Total Pages : 454 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Continuous Optimization by : V. Jeyakumar

Download or read book Continuous Optimization written by V. Jeyakumar and published by Springer Science & Business Media. This book was released on 2006-03-09 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuous optimization is the study of problems in which we wish to opti mize (either maximize or minimize) a continuous function (usually of several variables) often subject to a collection of restrictions on these variables. It has its foundation in the development of calculus by Newton and Leibniz in the 17*^ century. Nowadys, continuous optimization problems are widespread in the mathematical modelling of real world systems for a very broad range of applications. Solution methods for large multivariable constrained continuous optimiza tion problems using computers began with the work of Dantzig in the late 1940s on the simplex method for linear programming problems. Recent re search in continuous optimization has produced a variety of theoretical devel opments, solution methods and new areas of applications. It is impossible to give a full account of the current trends and modern applications of contin uous optimization. It is our intention to present a number of topics in order to show the spectrum of current research activities and the development of numerical methods and applications.

Optimization

Author : Jan Brinkhuis
Publisher : Princeton University Press
ISBN 13 : 1400829364
Total Pages : 683 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Optimization by : Jan Brinkhuis

Download or read book Optimization written by Jan Brinkhuis and published by Princeton University Press. This book was released on 2011-02-11 with total page 683 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained textbook is an informal introduction to optimization through the use of numerous illustrations and applications. The focus is on analytically solving optimization problems with a finite number of continuous variables. In addition, the authors provide introductions to classical and modern numerical methods of optimization and to dynamic optimization. The book's overarching point is that most problems may be solved by the direct application of the theorems of Fermat, Lagrange, and Weierstrass. The authors show how the intuition for each of the theoretical results can be supported by simple geometric figures. They include numerous applications through the use of varied classical and practical problems. Even experts may find some of these applications truly surprising. A basic mathematical knowledge is sufficient to understand the topics covered in this book. More advanced readers, even experts, will be surprised to see how all main results can be grounded on the Fermat-Lagrange theorem. The book can be used for courses on continuous optimization, from introductory to advanced, for any field for which optimization is relevant.

Computing the Continuous Discretely

Author : Matthias Beck
Publisher : Springer Science & Business Media
ISBN 13 : 0387461124
Total Pages : 227 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis Computing the Continuous Discretely by : Matthias Beck

Download or read book Computing the Continuous Discretely written by Matthias Beck and published by Springer Science & Business Media. This book was released on 2007-11-27 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook illuminates the field of discrete mathematics with examples, theory, and applications of the discrete volume of a polytope. The authors have weaved a unifying thread through basic yet deep ideas in discrete geometry, combinatorics, and number theory. We encounter here a friendly invitation to the field of "counting integer points in polytopes", and its various connections to elementary finite Fourier analysis, generating functions, the Frobenius coin-exchange problem, solid angles, magic squares, Dedekind sums, computational geometry, and more. With 250 exercises and open problems, the reader feels like an active participant.

Convex Analysis and Nonlinear Optimization

Author : Jonathan M. Borwein
Publisher : Springer Science & Business Media
ISBN 13 : 1475798598
Total Pages : 281 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Convex Analysis and Nonlinear Optimization by : Jonathan M. Borwein

Download or read book Convex Analysis and Nonlinear Optimization written by Jonathan M. Borwein and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a concise, accessible account of convex analysis and its applications and extensions, for a broad audience. It can serve as a teaching text, at roughly the level of first year graduate students, since the main body of the text is self-contained, with each section rounded off by an often extensive set of optional exercises. The new edition adds material on semismooth optimization, as well as several new proofs that will make this book even more self-contained.

Numerical Optimization

Author : Jorge Nocedal
Publisher : Springer Science & Business Media
ISBN 13 : 0387400656
Total Pages : 664 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis Numerical Optimization by : Jorge Nocedal

Download or read book Numerical Optimization written by Jorge Nocedal and published by Springer Science & Business Media. This book was released on 2006-12-11 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization is an important tool used in decision science and for the analysis of physical systems used in engineering. One can trace its roots to the Calculus of Variations and the work of Euler and Lagrange. This natural and reasonable approach to mathematical programming covers numerical methods for finite-dimensional optimization problems. It begins with very simple ideas progressing through more complicated concepts, concentrating on methods for both unconstrained and constrained optimization.

Introduction to the Theory of Nonlinear Optimization

Author : Johannes Jahn
Publisher : Springer Nature
ISBN 13 : 3030427609
Total Pages : 325 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Introduction to the Theory of Nonlinear Optimization by : Johannes Jahn

Download or read book Introduction to the Theory of Nonlinear Optimization written by Johannes Jahn and published by Springer Nature. This book was released on 2020-07-02 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book serves as an introductory text to optimization theory in normed spaces and covers all areas of nonlinear optimization. It presents fundamentals with particular emphasis on the application to problems in the calculus of variations, approximation and optimal control theory. The reader is expected to have a basic knowledge of linear functional analysis.

Algorithms for Continuous Optimization

Author : E. Spedicato
Publisher : Springer Science & Business Media
ISBN 13 : 9400903693
Total Pages : 572 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Algorithms for Continuous Optimization by : E. Spedicato

Download or read book Algorithms for Continuous Optimization written by E. Spedicato and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: The NATO Advanced Study Institute on "Algorithms for continuous optimiza tion: the state of the art" was held September 5-18, 1993, at II Ciocco, Barga, Italy. It was attended by 75 students (among them many well known specialists in optimiza tion) from the following countries: Belgium, Brasil, Canada, China, Czech Republic, France, Germany, Greece, Hungary, Italy, Poland, Portugal, Rumania, Spain, Turkey, UK, USA, Venezuela. The lectures were given by 17 well known specialists in the field, from Brasil, China, Germany, Italy, Portugal, Russia, Sweden, UK, USA. Solving continuous optimization problems is a fundamental task in computational mathematics for applications in areas of engineering, economics, chemistry, biology and so on. Most real problems are nonlinear and can be of quite large size. Devel oping efficient algorithms for continuous optimization has been an important field of research in the last 30 years, with much additional impetus provided in the last decade by the availability of very fast and parallel computers. Techniques, like the simplex method, that were already considered fully developed thirty years ago have been thoroughly revised and enormously improved. The aim of this ASI was to present the state of the art in this field. While not all important aspects could be covered in the fifty hours of lectures (for instance multiob jective optimization had to be skipped), we believe that most important topics were presented, many of them by scientists who greatly contributed to their development.

Introduction to Software for Chemical Engineers, Second Edition

Author : Mariano Martín Martín
Publisher : CRC Press
ISBN 13 : 0429835434
Total Pages : 786 pages
Book Rating : 4.4/5 (298 download)

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Book Synopsis Introduction to Software for Chemical Engineers, Second Edition by : Mariano Martín Martín

Download or read book Introduction to Software for Chemical Engineers, Second Edition written by Mariano Martín Martín and published by CRC Press. This book was released on 2019-06-06 with total page 786 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of Chemical Engineering and its link to computer science is in constant evolution and new engineers have a variety of tools at their disposal to tackle their everyday problems. Introduction to Software for Chemical Engineers, Second Edition provides a quick guide to the use of various computer packages for chemical engineering applications. It covers a range of software applications from Excel and general mathematical packages such as MATLAB and MathCAD to process simulators, CHEMCAD and ASPEN, equation-based modeling languages, gProms, optimization software such as GAMS and AIMS, and specialized software like CFD or DEM codes. The different packages are introduced and applied to solve typical problems in fluid mechanics, heat and mass transfer, mass and energy balances, unit operations, reactor engineering, process and equipment design and control. This new edition offers a wider view of packages including open source software such as R, Python and Julia. It also includes complete examples in ASPEN Plus, adds ANSYS Fluent to CFD codes, Lingo to the optimization packages, and discusses Engineering Equation Solver. It offers a global idea of the capabilities of the software used in the chemical engineering field and provides examples for solving real-world problems. Written by leading experts, this book is a must-have reference for chemical engineers looking to grow in their careers through the use of new and improving computer software. Its user-friendly approach to simulation and optimization as well as its example-based presentation of the software, makes it a perfect teaching tool for both undergraduate and master levels.

A Brief Introduction to Continuous Evolutionary Optimization

Author : Oliver Kramer
Publisher : Springer Science & Business Media
ISBN 13 : 3319034227
Total Pages : 94 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis A Brief Introduction to Continuous Evolutionary Optimization by : Oliver Kramer

Download or read book A Brief Introduction to Continuous Evolutionary Optimization written by Oliver Kramer and published by Springer Science & Business Media. This book was released on 2013-12-04 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: Practical optimization problems are often hard to solve, in particular when they are black boxes and no further information about the problem is available except via function evaluations. This work introduces a collection of heuristics and algorithms for black box optimization with evolutionary algorithms in continuous solution spaces. The book gives an introduction to evolution strategies and parameter control. Heuristic extensions are presented that allow optimization in constrained, multimodal and multi-objective solution spaces. An adaptive penalty function is introduced for constrained optimization. Meta-models reduce the number of fitness and constraint function calls in expensive optimization problems. The hybridization of evolution strategies with local search allows fast optimization in solution spaces with many local optima. A selection operator based on reference lines in objective space is introduced to optimize multiple conflictive objectives. Evolutionary search is employed for learning kernel parameters of the Nadaraya-Watson estimator and a swarm-based iterative approach is presented for optimizing latent points in dimensionality reduction problems. Experiments on typical benchmark problems as well as numerous figures and diagrams illustrate the behavior of the introduced concepts and methods.

Continuous Optimization Models

Author : Horst A. Eiselt
Publisher :
ISBN 13 : 9780899250168
Total Pages : 730 pages
Book Rating : 4.2/5 (51 download)

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Book Synopsis Continuous Optimization Models by : Horst A. Eiselt

Download or read book Continuous Optimization Models written by Horst A. Eiselt and published by . This book was released on 1987 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Optimization Methods

Author : P. Adby
Publisher : Springer Science & Business Media
ISBN 13 : 940095705X
Total Pages : 214 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Introduction to Optimization Methods by : P. Adby

Download or read book Introduction to Optimization Methods written by P. Adby and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last decade the techniques of non-linear optim ization have emerged as an important subject for study and research. The increasingly widespread application of optim ization has been stimulated by the availability of digital computers, and the necessity of using them in the investigation of large systems. This book is an introduction to non-linear methods of optimization and is suitable for undergraduate and post graduate courses in mathematics, the physical and social sciences, and engineering. The first half of the book covers the basic optimization techniques including linear search methods, steepest descent, least squares, and the Newton-Raphson method. These are described in detail, with worked numerical examples, since they form the basis from which advanced methods are derived. Since 1965 advanced methods of unconstrained and constrained optimization have been developed to utilise the computational power of the digital computer. The second half of the book describes fully important algorithms in current use such as variable metric methods for unconstrained problems and penalty function methods for constrained problems. Recent work, much of which has not yet been widely applied, is reviewed and compared with currently popular techniques under a few generic main headings. vi PREFACE Chapter I describes the optimization problem in mathemat ical form and defines the terminology used in the remainder of the book. Chapter 2 is concerned with single variable optimization. The main algorithms of both search and approximation methods are developed in detail since they are an essential part of many multi-variable methods.

Introduction to Applied Optimization

Author : Urmila Diwekar
Publisher : Springer Science & Business Media
ISBN 13 : 9781402074561
Total Pages : 360 pages
Book Rating : 4.0/5 (745 download)

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Book Synopsis Introduction to Applied Optimization by : Urmila Diwekar

Download or read book Introduction to Applied Optimization written by Urmila Diwekar and published by Springer Science & Business Media. This book was released on 2003-06-30 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents a multi-disciplined view of optimization, providing students and researchers with a thorough examination of algorithms, methods, and tools from diverse areas of optimization without introducing excessive theoretical detail. This second edition includes additional topics, including global optimization and a real-world case study using important concepts from each chapter. Introduction to Applied Optimization is intended for advanced undergraduate and graduate students and will benefit scientists from diverse areas, including engineers.

Optimization Under Uncertainty with Applications to Aerospace Engineering

Author : Massimiliano Vasile
Publisher : Springer Nature
ISBN 13 : 3030601668
Total Pages : 573 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Optimization Under Uncertainty with Applications to Aerospace Engineering by : Massimiliano Vasile

Download or read book Optimization Under Uncertainty with Applications to Aerospace Engineering written by Massimiliano Vasile and published by Springer Nature. This book was released on 2021-02-15 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: In an expanding world with limited resources, optimization and uncertainty quantification have become a necessity when handling complex systems and processes. This book provides the foundational material necessary for those who wish to embark on advanced research at the limits of computability, collecting together lecture material from leading experts across the topics of optimization, uncertainty quantification and aerospace engineering. The aerospace sector in particular has stringent performance requirements on highly complex systems, for which solutions are expected to be optimal and reliable at the same time. The text covers a wide range of techniques and methods, from polynomial chaos expansions for uncertainty quantification to Bayesian and Imprecise Probability theories, and from Markov chains to surrogate models based on Gaussian processes. The book will serve as a valuable tool for practitioners, researchers and PhD students.