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A Generating Set Direct Search Augmented Lagrangian Algorithm For Optimization With A Combination Of General And Linear Constraints
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Book Synopsis A Generating Set Direct Search Augmented Lagrangian Algorithm for Optimization with a Combination of General and Linear Constraints by : Robert Michael Lewis
Download or read book A Generating Set Direct Search Augmented Lagrangian Algorithm for Optimization with a Combination of General and Linear Constraints written by Robert Michael Lewis and published by . This book was released on 2006 with total page 45 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider the solution of nonlinear programs in the case where derivatives of the objective function and nonlinear constraints are unavailable. To solve such problems, we propose an adaptation of a method due to Conn, Gould, Sartenaer, and Toint that proceeds by approximately minimizing a succession of linearly constrained augmented Lagrangians. Our modification is to use a derivative-free generating set direct search algorithm to solve the linearly constrained subproblems. The stopping criterion proposed by Conn, Gould, Sartenaer and Toint for the approximate solution of the subproblems requires explicit knowledge of derivatives. Such information is presumed absent in the generating set search method we employ. Instead, we show that stationarity results for linearly constrained generating set search methods provide a derivative-free stopping criterion, based on a step-length control parameter, that is sufficient to preserve the convergence properties of the original augmented Lagrangian algorithm.
Book Synopsis Introduction to Derivative-Free Optimization by : Andrew R. Conn
Download or read book Introduction to Derivative-Free Optimization written by Andrew R. Conn and published by SIAM. This book was released on 2009-04-16 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first contemporary comprehensive treatment of optimization without derivatives. This text explains how sampling and model techniques are used in derivative-free methods and how they are designed to solve optimization problems. It is designed to be readily accessible to both researchers and those with a modest background in computational mathematics.
Book Synopsis Mathematics Without Boundaries by : Panos M. Pardalos
Download or read book Mathematics Without Boundaries written by Panos M. Pardalos and published by Springer. This book was released on 2014-09-16 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of chapters written by eminent scientists and engineers from the international community and present significant advances in several theories, methods and applications of an interdisciplinary research. These contributions focus on both old and recent developments of Global Optimization Theory, Convex Analysis, Calculus of Variations, Discrete Mathematics and Geometry, as well as several applications to a large variety of concrete problems, including applications of computers to the study of smoothness and analyticity of functions, applications to epidemiological diffusion, networks, mathematical models of elastic and piezoelectric fields, optimal algorithms, stability of neutral type vector functional differential equations, sampling and rational interpolation for non-band-limited signals, recurrent neural network for convex optimization problems and experimental design. The book also contains some review works, which could prove particularly useful for a broader audience of readers in Mathematical and Engineering subjects and especially to graduate students who search for the latest information.
Book Synopsis Artificial Intelligence in Manufacturing by : Masoud Soroush
Download or read book Artificial Intelligence in Manufacturing written by Masoud Soroush and published by Elsevier. This book was released on 2024-01-22 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Artificial Intelligence in Manufacturing: Concepts and Methods explains the most successful emerging techniques for applying AI to engineering problems. Artificial intelligence is increasingly being applied to all engineering disciplines, producing more insights into how we understand the world and allowing us to create products in new ways. This book unlocks the advantages of this technology for manufacturing by drawing on work by leading researchers who have successfully developed methods that can apply to a range of engineering applications. The book addresses educational challenges needed for widespread implementation of AI and also provides detailed technical instructions for the implementation of AI methods. Drawing on research in computer science, physics and a range of engineering disciplines, this book tackles the interdisciplinary challenges of the subject to introduce new thinking to important manufacturing problems. Presents AI concepts from the computer science field using language and examples designed to inspire engineering graduates Provides worked examples throughout to help readers fully engage with the methods described Includes concepts that are supported by definitions for key terms and chapter summaries
Book Synopsis Mathematical Software - ICMS 2006 by : Nobuki Takayama
Download or read book Mathematical Software - ICMS 2006 written by Nobuki Takayama and published by Springer Science & Business Media. This book was released on 2006-08-24 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Second International Congress on Mathematical Software, ICMS 2006. The book presents 45 revised full papers, carefully reviewed and selected for presentation. The papers are organized in topical sections on new developments in computer algebra packages, interfacing computer algebra in mathematical visualization, software for algebraic geometry and related topics, number-theoretical software, methods in computational number theory, free software for computer algebra, and general issues.
Book Synopsis Organic Rankine Cycle (ORC) Power Systems by : Ennio Macchi
Download or read book Organic Rankine Cycle (ORC) Power Systems written by Ennio Macchi and published by Woodhead Publishing. This book was released on 2016-08-24 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: Organic Rankine Cycle (ORC) Power Systems: Technologies and Applications provides a systematic and detailed description of organic Rankine cycle technologies and the way they are increasingly of interest for cost-effective sustainable energy generation. Popular applications include cogeneration from biomass and electricity generation from geothermal reservoirs and concentrating solar power installations, as well as waste heat recovery from gas turbines, internal combustion engines and medium- and low-temperature industrial processes. With hundreds of ORC power systems already in operation and the market growing at a fast pace, this is an active and engaging area of scientific research and technical development. The book is structured in three main parts: (i) Introduction to ORC Power Systems, Design and Optimization, (ii) ORC Plant Components, and (iii) Fields of Application. Provides a thorough introduction to ORC power systems Contains detailed chapters on ORC plant components Includes a section focusing on ORC design and optimization Reviews key applications of ORC technologies, including cogeneration from biomass, electricity generation from geothermal reservoirs and concentrating solar power installations, waste heat recovery from gas turbines, internal combustion engines and medium- and low-temperature industrial processes Various chapters are authored by well-known specialists from Academia and ORC manufacturers
Book Synopsis A Globally Convergent Augmented Lagrangian Pattern Search Algorithm for Optimization with General Constraints and Simple Bounds by : Robert Michael Lewis
Download or read book A Globally Convergent Augmented Lagrangian Pattern Search Algorithm for Optimization with General Constraints and Simple Bounds written by Robert Michael Lewis and published by . This book was released on 1998 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Сooperation and Sustainable Development by : Aleksei V. Bogoviz
Download or read book Сooperation and Sustainable Development written by Aleksei V. Bogoviz and published by Springer Nature. This book was released on 2021-12-03 with total page 1580 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic view of the cooperative sector of the economy from the standpoint of sustainable development. On the one hand, the book reveals the consequences of business cooperation for the implementation of global sustainable development goals, primarily in terms of environmental protection and food security. On the other hand, the book defines the essence of sustainable development of the cooperative sector of the economy as a demonstrative economic practice that reflects the general state of socio-economic systems. Scientific, methodological, and applied recommendations for the systemic optimization of the management of the cooperative sector of the economy in the interests of simultaneously achieving its maximum positive impact on the implementation of sustainable development goals, as well as maintaining its stability are proposed. The book contains the best works based on the results of the International Scientific and Practical Conference “Cooperation and Sustainable Development”, which was held on December 15-16, 2020. Its target audience is scientists studying processes of business structures cooperation, business entities carrying out cooperation, as well as public authorities, which will find guidelines for improving state regulation of the cooperative sector of the economy in this book.
Book Synopsis Black Box Optimization, Machine Learning, and No-Free Lunch Theorems by : Panos M. Pardalos
Download or read book Black Box Optimization, Machine Learning, and No-Free Lunch Theorems written by Panos M. Pardalos and published by Springer Nature. This book was released on 2021-05-27 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume illustrates the connections between machine learning techniques, black box optimization, and no-free lunch theorems. Each of the thirteen contributions focuses on the commonality and interdisciplinary concepts as well as the fundamentals needed to fully comprehend the impact of individual applications and problems. Current theoretical, algorithmic, and practical methods used are provided to stimulate a new effort towards innovative and efficient solutions. The book is intended for beginners who wish to achieve a broad overview of optimization methods and also for more experienced researchers as well as researchers in mathematics, optimization, operations research, quantitative logistics, data analysis, and statistics, who will benefit from access to a quick reference to key topics and methods. The coverage ranges from mathematically rigorous methods to heuristic and evolutionary approaches in an attempt to equip the reader with different viewpoints of the same problem.
Book Synopsis Computational Modeling of Neural Activities for Statistical Inference by : Antonio Kolossa
Download or read book Computational Modeling of Neural Activities for Statistical Inference written by Antonio Kolossa and published by Springer. This book was released on 2016-05-12 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: This authored monograph supplies empirical evidence for the Bayesian brain hypothesis by modeling event-related potentials (ERP) of the human electroencephalogram (EEG) during successive trials in cognitive tasks. The employed observer models are useful to compute probability distributions over observable events and hidden states, depending on which are present in the respective tasks. Bayesian model selection is then used to choose the model which best explains the ERP amplitude fluctuations. Thus, this book constitutes a decisive step towards a better understanding of the neural coding and computing of probabilities following Bayesian rules. The target audience primarily comprises research experts in the field of computational neurosciences, but the book may also be beneficial for graduate students who want to specialize in this field.
Book Synopsis Practical Augmented Lagrangian Methods for Constrained Optimization by : Ernesto G. Birgin
Download or read book Practical Augmented Lagrangian Methods for Constrained Optimization written by Ernesto G. Birgin and published by SIAM. This book was released on 2014-04-30 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on Augmented Lagrangian techniques for solving practical constrained optimization problems. The authors: rigorously delineate mathematical convergence theory based on sequential optimality conditions and novel constraint qualifications; orient the book to practitioners by giving priority to results that provide insight on the practical behavior of algorithms and by providing geometrical and algorithmic interpretations of every mathematical result; and fully describe a freely available computational package for constrained optimization and illustrate its usefulness with applications.
Book Synopsis SIAM Journal on Scientific Computing by :
Download or read book SIAM Journal on Scientific Computing written by and published by . This book was released on 2008 with total page 924 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Imitation Market Modeling in Digital Economy: Game Theoretic Approaches by : Elena G. Popkova
Download or read book Imitation Market Modeling in Digital Economy: Game Theoretic Approaches written by Elena G. Popkova and published by Springer Nature. This book was released on 2022-01-21 with total page 850 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes the best studies on the results of the International Scientific and Practical Conference “New behaviors of market players in the digital economy,” which was held by the Institute of Scientific Communications on July 8, 2021, online, in YouTube format. This book is devoted to the study of digital economy markets from the standpoint of various market players—society (consumers), entrepreneurship, and the state—from the standpoint of various sciences—economic, managerial, social, and legal—which ensures the multidisciplinarity of the book. The uniqueness of the book lies in the application of a new scientific and methodological approach to the study of digital economy markets—simulation modeling. The advantages of a game-based scientific and methodological approach to reducing the uncertainty of economic processes and systems—a combination of quantitative and qualitative analytical methods, a systematic consideration of economic processes and systems from a socio-economic point of view—make it especially suitable for studying digital economy markets. The book identifies the impact of globalization and digitalization on the modern economy and industry markets. The trends and features of the use of advanced technologies in the digital economy markets are studied. The modern practices of business management and business integration in the digital economy are considered. The foundations of economic security and sustainable development of markets and enterprises in the digital economy are revealed. The book is suitable for scientists studying the markets of the digital economy, who will find in it scientific and methodological recommendations and developments on the application of game theory, as well as ready simulation models of the digital economy markets.
Book Synopsis Global Convergence of Two Augmented Lagrangian Algorithms for Optimization with a Combination of General Equality and Linear Constraints by : International Business Machines Corporation. Research Division
Download or read book Global Convergence of Two Augmented Lagrangian Algorithms for Optimization with a Combination of General Equality and Linear Constraints written by International Business Machines Corporation. Research Division and published by . This book was released on 1993 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Convergence properties of an augmented Lagrangian algorithm for optimization with a combination of general equality and linear constraints by : A. R. Conn
Download or read book Convergence properties of an augmented Lagrangian algorithm for optimization with a combination of general equality and linear constraints written by A. R. Conn and published by . This book was released on 1995 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Implementation of a Lagrangian Based Algorithm for Sparse Nonlinear Constraints by : B. A. Murtagh
Download or read book Implementation of a Lagrangian Based Algorithm for Sparse Nonlinear Constraints written by B. A. Murtagh and published by . This book was released on 1980 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: An algorithm is described for solving large-scale nonlinear programs whose objective and constraint functions are smooth and continuously differentiable. The algorithm is of the augmented Lagrangian type, involving a sequence of sparse, linearly constrained subproblems whose objective functions include a modified Lagrangian term and a modified penalty function. The algorithm has been implemented in a general purpose Fortran code called MINOS/AUGMENTED. The system is intended for use on problems whose Jacobian matrix is sparse. (Such problems usually include a large set of purely linear constraints.) The bulk of the data may be assembled using a standard linear-programming matrix generator. Function and gradient values for all nonlinear terms are supplied by two user-written subroutines. Some aspects of the implementation are described in detail, and computational results are given for some nontrivial test problems. Assuming convergence occurs, the work involved is comparable to the solution of a moderate number of linear programs of similar size. (Author).
Book Synopsis Local Convergence Properties of Two Augmented Lagrangian Algorithms for Optimization with a Combination of General Equality and Linear Constraints by : International Business Machines Corporation. Research Division
Download or read book Local Convergence Properties of Two Augmented Lagrangian Algorithms for Optimization with a Combination of General Equality and Linear Constraints written by International Business Machines Corporation. Research Division and published by . This book was released on 1993 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
