Optimization Theory A Concise Introduction
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Optimization Theory
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Author : Jiongmin Yong
language : en
Publisher: World Scientific Publishing Company
Release Date : 2018
Optimization Theory written by Jiongmin Yong and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Mathematical analysis categories.
Mathematical preparations -- Optimization problems and existence of optimal solutions -- Necessary and sufficient conditions of optimal solutions -- Problems with convexity and quasi-convexity conditions -- Linear programming
Optimization Theory A Concise Introduction
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Author : Jiongmin Yong
language : en
Publisher: World Scientific Publishing Company
Release Date : 2018-05-16
Optimization Theory A Concise Introduction written by Jiongmin Yong and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-16 with Mathematics categories.
Mathematically, most of the interesting optimization problems can be formulated to optimize some objective function, subject to some equality and/or inequality constraints. This book introduces some classical and basic results of optimization theory, including nonlinear programming with Lagrange multiplier method, the Karush-Kuhn-Tucker method, Fritz John's method, problems with convex or quasi-convex constraints, and linear programming with geometric method and simplex method.A slim book such as this which touches on major aspects of optimization theory will be very much needed for most readers. We present nonlinear programming, convex programming, and linear programming in a self-contained manner. This book is for a one-semester course for upper level undergraduate students or first/second year graduate students. It should also be useful for researchers working on many interdisciplinary areas other than optimization.
Optimization Theory
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Author : Magnus Rudolph Hestenes
language : en
Publisher:
Release Date : 1981
Optimization Theory written by Magnus Rudolph Hestenes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Mathematics categories.
An Introduction To Convex Optimization Theory And Applications
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-07-18
An Introduction To Convex Optimization Theory And Applications written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-18 with Mathematics categories.
ConvexOptimization is a powerful tool that has applications in a wide range of fields, including engineering, computer science, economics, statistics, and more. This book provides a clear and concise introduction to convexOptimization, making it a valuable resource for students, practitioners, and anyone else interested in learning more about this important topic. The book begins with an explanation of the basic building blocks of convex sets and functions. It then moves on to discuss optimality conditions and duality theory, which are essential tools for understanding and characterizing convexOptimization problems. The book also provides a detailed treatment of several important classes of convexOptimization problems, including linear, quadratic, and semidefinitOptimization problems. In addition to the core material, the book also includes a number of applications of convexOptimization to real-world problems. These applications are drawn from a wide range of fields, including engineering, computer science, economics, and statistics. The book also includes a number of end-of-chapel problems to help the reader test their understanding of the material. This book is an excellent resource for anyone interested in learning more about convexOptimization. It is written in a clear and concise style, and it provides a thorough treatment of the subject. The book is also very well-organized, making it easy for the reader to find the information they are looking for. Whether you are a student, a practitioner, or simply someone who is interested in learning more about convexOptimization, this book is a valuable resource. It provides a clear and concise introduction to the subject, and it is sure to help you develop a deep understanding of this powerful tool. If you like this book, write a review!
Optimal Control Theory
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Author : Zhongjing Ma
language : en
Publisher: Springer Nature
Release Date : 2021-01-30
Optimal Control Theory written by Zhongjing Ma and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-30 with Technology & Engineering categories.
This book focuses on how to implement optimal control problems via the variational method. It studies how to implement the extrema of functional by applying the variational method and covers the extrema of functional with different boundary conditions, involving multiple functions and with certain constraints etc. It gives the necessary and sufficient condition for the (continuous-time) optimal control solution via the variational method, solves the optimal control problems with different boundary conditions, analyzes the linear quadratic regulator & tracking problems respectively in detail, and provides the solution of optimal control problems with state constraints by applying the Pontryagin’s minimum principle which is developed based upon the calculus of variations. And the developed results are applied to implement several classes of popular optimal control problems and say minimum-time, minimum-fuel and minimum-energy problems and so on. As another key branch of optimal control methods, it also presents how to solve the optimal control problems via dynamic programming and discusses the relationship between the variational method and dynamic programming for comparison. Concerning the system involving individual agents, it is also worth to study how to implement the decentralized solution for the underlying optimal control problems in the framework of differential games. The equilibrium is implemented by applying both Pontryagin’s minimum principle and dynamic programming. The book also analyzes the discrete-time version for all the above materials as well since the discrete-time optimal control problems are very popular in many fields.
Proceedings Of The International Workshop On Advances In Civil Aviation Systems Development
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Author : Ivan Ostroumov
language : en
Publisher: Springer Nature
Release Date : 2023-07-20
Proceedings Of The International Workshop On Advances In Civil Aviation Systems Development written by Ivan Ostroumov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-20 with Technology & Engineering categories.
This book includes high-quality research papers presented at International Workshop on Advances in Civil Aviation Systems Development (ACASD 2023), which was at National Aviation University, Kyiv Ukraine, on May 30, 2023. This book presents original results of a scholarly study of unique research teams and market leaders on the development in civil aviation systems and its application. The book topics include major research areas focused on advances in avionics system design, modern trends in communication, surveillance and navigation systems development, and civil avionics system maintenance questions. Also, proposed book is useful for scholars and professionals in the civil aviation domain.
Stochastic Process Optimization Using Aspen Plus
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Author : Juan Gabriel Segovia-Hernández
language : en
Publisher: CRC Press
Release Date : 2017-11-01
Stochastic Process Optimization Using Aspen Plus written by Juan Gabriel Segovia-Hernández and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-01 with Mathematics categories.
Stochastic Process Optimization using Aspen® Plus Bookshop Category: Chemical Engineering Optimization can be simply defined as "choosing the best alternative among a set of feasible options". In all the engineering areas, optimization has a wide range of applications, due to the high number of decisions involved in an engineering environment. Chemical engineering, and particularly process engineering, is not an exception; thus stochastic methods are a good option to solve optimization problems for the complex process engineering models. In this book, the combined use of the modular simulator Aspen® Plus and stochastic optimization methods, codified in MATLAB, is presented. Some basic concepts of optimization are first presented, then, strategies to use the simulator linked with the optimization algorithm are shown. Finally, examples of application for process engineering are discussed. The reader will learn how to link the process simulator Aspen® Plus and stochastic optimization algorithms to solve process design problems. They will gain ability to perform multi-objective optimization in several case studies. Key Features: • The book links simulation and optimization through numerical analyses and stochastic optimization techniques • Includes use of examples to illustrate the application of the concepts and specific guidance on the use of software (Aspen® Plus, Excel, MATLB) to set up and solve models representing complex problems. • Illustrates several examples of applications for the linking of simulation and optimization software with other packages for optimization purposes. • Provides specific information on how to implement stochastic optimization with process simulators. • Enable readers to identify practical and economic solutions to problems of industrial relevance, enhancing the safety, operation, environmental, and economic performance of chemical processes.
Optimization And Approximation
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Author : Pablo Pedregal
language : en
Publisher: Springer
Release Date : 2017-09-07
Optimization And Approximation written by Pablo Pedregal and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-07 with Mathematics categories.
This book provides a basic, initial resource, introducing science and engineering students to the field of optimization. It covers three main areas: mathematical programming, calculus of variations and optimal control, highlighting the ideas and concepts and offering insights into the importance of optimality conditions in each area. It also systematically presents affordable approximation methods. Exercises at various levels have been included to support the learning process.
Differential Games A Concise Introduction
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Author : Jiongmin Yong
language : en
Publisher: World Scientific
Release Date : 2014-12-05
Differential Games A Concise Introduction written by Jiongmin Yong and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-05 with Mathematics categories.
This book uses a small volume to present the most basic results for deterministic two-person differential games. The presentation begins with optimization of a single function, followed by a basic theory for two-person games. For dynamic situations, the author first recalls control theory which is treated as single-person differential games. Then a systematic theory of two-person differential games is concisely presented, including evasion and pursuit problems, zero-sum problems and LQ differential games.The book is intended to be self-contained, assuming that the readers have basic knowledge of calculus, linear algebra, and elementary ordinary differential equations. The readership of the book could be junior/senior undergraduate and graduate students with majors related to applied mathematics, who are interested in differential games. Researchers in some other related areas, such as engineering, social science, etc. will also find the book useful.
Optimization An Introduction
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Author : Libor Pekař
language : en
Publisher: Springer Nature
Release Date : 2025-05-19
Optimization An Introduction written by Libor Pekař and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-19 with Computers categories.
This book covers analytic methods to solve one-dimensional and multi-dimensional problems with or without possible constraints, iterative numerical techniques based on the gradient calculation or its estimation, and numerical methods that do not require the knowledge of gradient and use only comparative iterative tests. This book provides the reader with a basic introduction to some traditional parameter optimization techniques. The presented problems and their solution methods represent a core of the parameter optimization reign since the 17th century to the 1970s. Linear and integer programming via the simplex table is also introduced. Two simple selected problems that are solved using dynamic programming principles are also given to the reader. A general approach to constraints via penalty and barrier functions is introduced. A concise introduction to the decision and game theory concludes the book. The book does not intend to provide the reader with a rigorous mathematic derivation of the presented methods. Its aim is instead to bring to the attention essential optimization tools for practitioners and undergraduate students and introduce selected well-established techniques to them when optimizing parameters of various models. Each method is described theoretically and supported by one or more numerical examples that vary from academic ones, through business economics to funny real-world problems that attract a broad audience. A sketch of Matlab code also follows numerical-based techniques. The author believes that the book finds its place in the libraries of many undergraduate students of various technical study programs and modern, thoughtful people worldwide, regardless of their expertise.