Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Computational Issues In High Performance Software For Nonlinear Optimization
Download Computational Issues In High Performance Software For Nonlinear Optimization full books in PDF, epub, and Kindle. Read online Computational Issues In High Performance Software For Nonlinear Optimization ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Book Synopsis Computational Issues in High Performance Software for Nonlinear Optimization by : Almerico Murli
Download or read book Computational Issues in High Performance Software for Nonlinear Optimization written by Almerico Murli and published by Springer. This book was released on 2007-06-14 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Issues in High Performance Software for Nonlinear Research brings together in one place important contributions and up-to-date research results in this important area. Computational Issues in High Performance Software for Nonlinear Research serves as an excellent reference, providing insight into some of the most important research issues in the field.
Book Synopsis High Performance Algorithms and Software in Nonlinear Optimization by : Renato de Leone
Download or read book High Performance Algorithms and Software in Nonlinear Optimization written by Renato de Leone and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a selection of papers presented at the conference on High Performance Software for Nonlinear Optimization (HPSN097) which was held in Ischia, Italy, in June 1997. The rapid progress of computer technologies, including new parallel architec tures, has stimulated a large amount of research devoted to building software environments and defining algorithms able to fully exploit this new computa tional power. In some sense, numerical analysis has to conform itself to the new tools. The impact of parallel computing in nonlinear optimization, which had a slow start at the beginning, seems now to increase at a fast rate, and it is reasonable to expect an even greater acceleration in the future. As with the first HPSNO conference, the goal of the HPSN097 conference was to supply a broad overview of the more recent developments and trends in nonlinear optimization, emphasizing the algorithmic and high performance software aspects. Bringing together new computational methodologies with theoretical ad vances and new computer technologies is an exciting challenge that involves all scientists willing to develop high performance numerical software. This book contains several important contributions from different and com plementary standpoints. Obviously, the articles in the book do not cover all the areas of the conference topic or all the most recent developments, because of the large number of new theoretical and computational ideas of the last few years.
Book Synopsis High Performance Algorithms and Software for Nonlinear Optimization by : Gianni Pillo
Download or read book High Performance Algorithms and Software for Nonlinear Optimization written by Gianni Pillo and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the edited texts of the lectures presented at the Workshop on High Performance Algorithms and Software for Nonlinear Optimization held in Erice, Sicily, at the "G. Stampacchia" School of Mathematics of the "E. Majorana" Centre for Scientific Culture, June 30 - July 8, 2001. In the first year of the new century, the aim of the Workshop was to assess the past and to discuss the future of Nonlinear Optimization, and to highlight recent achieve ments and promising research trends in this field. An emphasis was requested on algorithmic and high performance software developments and on new computational experiences, as well as on theoretical advances. We believe that such goal was basically achieved. The Workshop was attended by 71 people from 22 countries. Although not all topics were covered, the presentations gave indeed a wide overview of the field, from different and complementary stand points. Besides the lectures, several formal and informal discussions took place. We wish to express our appreciation for the active contribution of all the participants in the meeting. The 18 papers included in this volume represent a significant selection of the most recent developments in nonlinear programming theory and practice. They show that there is plenty of exciting ideas, implementation issues and new applications which produce a very fast evolution in the field.
Book Synopsis Special Issue on High Performance Algorithms and Software for Nonlinear Optimization by :
Download or read book Special Issue on High Performance Algorithms and Software for Nonlinear Optimization written by and published by . This book was released on 2007 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis High Performance Optimization by : Hans Frenk
Download or read book High Performance Optimization written by Hans Frenk and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: For a long time the techniques of solving linear optimization (LP) problems improved only marginally. Fifteen years ago, however, a revolutionary discovery changed everything. A new `golden age' for optimization started, which is continuing up to the current time. What is the cause of the excitement? Techniques of linear programming formed previously an isolated body of knowledge. Then suddenly a tunnel was built linking it with a rich and promising land, part of which was already cultivated, part of which was completely unexplored. These revolutionary new techniques are now applied to solve conic linear problems. This makes it possible to model and solve large classes of essentially nonlinear optimization problems as efficiently as LP problems. This volume gives an overview of the latest developments of such `High Performance Optimization Techniques'. The first part is a thorough treatment of interior point methods for semidefinite programming problems. The second part reviews today's most exciting research topics and results in the area of convex optimization. Audience: This volume is for graduate students and researchers who are interested in modern optimization techniques.
Book Synopsis High Performance Algorithms and Software for Nonlinear Optimization by : Almerico Murli
Download or read book High Performance Algorithms and Software for Nonlinear Optimization written by Almerico Murli and published by . This book was released on 2007 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Modern Numerical Nonlinear Optimization by : Neculai Andrei
Download or read book Modern Numerical Nonlinear Optimization written by Neculai Andrei and published by Springer Nature. This book was released on 2022-10-18 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes a thorough theoretical and computational analysis of unconstrained and constrained optimization algorithms and combines and integrates the most recent techniques and advanced computational linear algebra methods. Nonlinear optimization methods and techniques have reached their maturity and an abundance of optimization algorithms are available for which both the convergence properties and the numerical performances are known. This clear, friendly, and rigorous exposition discusses the theory behind the nonlinear optimization algorithms for understanding their properties and their convergence, enabling the reader to prove the convergence of his/her own algorithms. It covers cases and computational performances of the most known modern nonlinear optimization algorithms that solve collections of unconstrained and constrained optimization test problems with different structures, complexities, as well as those with large-scale real applications. The book is addressed to all those interested in developing and using new advanced techniques for solving large-scale unconstrained or constrained complex optimization problems. Mathematical programming researchers, theoreticians and practitioners in operations research, practitioners in engineering and industry researchers, as well as graduate students in mathematics, Ph.D. and master in mathematical programming will find plenty of recent information and practical approaches for solving real large-scale optimization problems and applications.
Book Synopsis Continuous Nonlinear Optimization for Engineering Applications in GAMS Technology by : Neculai Andrei
Download or read book Continuous Nonlinear Optimization for Engineering Applications in GAMS Technology written by Neculai Andrei and published by Springer. This book was released on 2017-12-04 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the theoretical details and computational performances of algorithms used for solving continuous nonlinear optimization applications imbedded in GAMS. Aimed toward scientists and graduate students who utilize optimization methods to model and solve problems in mathematical programming, operations research, business, engineering, and industry, this book enables readers with a background in nonlinear optimization and linear algebra to use GAMS technology to understand and utilize its important capabilities to optimize algorithms for modeling and solving complex, large-scale, continuous nonlinear optimization problems or applications. Beginning with an overview of constrained nonlinear optimization methods, this book moves on to illustrate key aspects of mathematical modeling through modeling technologies based on algebraically oriented modeling languages. Next, the main feature of GAMS, an algebraically oriented language that allows for high-level algebraic representation of mathematical optimization models, is introduced to model and solve continuous nonlinear optimization applications. More than 15 real nonlinear optimization applications in algebraic and GAMS representation are presented which are used to illustrate the performances of the algorithms described in this book. Theoretical and computational results, methods, and techniques effective for solving nonlinear optimization problems, are detailed through the algorithms MINOS, KNITRO, CONOPT, SNOPT and IPOPT which work in GAMS technology.
Book Synopsis Convexification and Global Optimization in Continuous and Mixed-Integer Nonlinear Programming by : Mohit Tawarmalani
Download or read book Convexification and Global Optimization in Continuous and Mixed-Integer Nonlinear Programming written by Mohit Tawarmalani and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interest in constrained optimization originated with the simple linear pro gramming model since it was practical and perhaps the only computationally tractable model at the time. Constrained linear optimization models were soon adopted in numerous application areas and are perhaps the most widely used mathematical models in operations research and management science at the time of this writing. Modelers have, however, found the assumption of linearity to be overly restrictive in expressing the real-world phenomena and problems in economics, finance, business, communication, engineering design, computational biology, and other areas that frequently demand the use of nonlinear expressions and discrete variables in optimization models. Both of these extensions of the linear programming model are NP-hard, thus representing very challenging problems. On the brighter side, recent advances in algorithmic and computing technology make it possible to re visit these problems with the hope of solving practically relevant problems in reasonable amounts of computational time. Initial attempts at solving nonlinear programs concentrated on the de velopment of local optimization methods guaranteeing globality under the assumption of convexity. On the other hand, the integer programming liter ature has concentrated on the development of methods that ensure global optima. The aim of this book is to marry the advancements in solving nonlinear and integer programming models and to develop new results in the more general framework of mixed-integer nonlinear programs (MINLPs) with the goal of devising practically efficient global optimization algorithms for MINLPs.
Book Synopsis Nonlinear Optimization by : Stephen A. Vavasis
Download or read book Nonlinear Optimization written by Stephen A. Vavasis and published by Oxford University Press, USA. This book was released on 1991 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fields of computer science and optimization greatly influence each other, and this book is about one important connection between the two: complexity theory. Complexity theory underlies computer algorithms and is used to address such questions as the efficiency of algorithms and the possibility of algorithmic solutions for particular problems. Furthermore, as optimization problems increase in size with hardware capacity, complexity theory plays a steadily growing role in the exploration of optimization algorithms. As larger and more complicated problems are addressed, it is more important than ever to understand the asymptotic complexity issues. This book describes some of the key developments in the complexity aspects of optimization during the last decade. It will be a valuable source of information for computer scientists and computational mathematicians.
Download or read book Lancelot written by A.R. Conn and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: LANCELOT is a software package for solving large-scale nonlinear optimization problems. This book is our attempt to provide a coherent overview of the package and its use. This includes details of how one might present examples to the package, how the algorithm tries to solve these examples and various technical issues which may be useful to implementors of the software. We hope this book will be of use to both researchers and practitioners in nonlinear programming. Although the book is primarily concerned with a specific optimization package, the issues discussed have much wider implications for the design and im plementation of large-scale optimization algorithms. In particular, the book contains a proposal for a standard input format for large-scale optimization problems. This proposal is at the heart of the interface between a user's problem and the LANCE LOT optimization package. Furthermore, a large collection of over five hundred test ex amples has already been written in this format and will shortly be available to those who wish to use them. We would like to thank the many people and organizations who supported us in our enterprise. We first acknowledge the support provided by our employers, namely the the Facultes Universitaires Notre-Dame de la Paix (Namur, Belgium), Harwell Laboratory (UK), IBM Corporation (USA), Rutherford Appleton Laboratory (UK) and the University of Waterloo (Canada). We are grateful for the support we obtained from NSERC (Canada), NATO and AMOCO (UK).
Book Synopsis High-Performance Scientific Computing by : Michael W. Berry
Download or read book High-Performance Scientific Computing written by Michael W. Berry and published by Springer Science & Business Media. This book was released on 2012-01-18 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the state of the art in parallel numerical algorithms, applications, architectures, and system software. The book examines various solutions for issues of concurrency, scale, energy efficiency, and programmability, which are discussed in the context of a diverse range of applications. Features: includes contributions from an international selection of world-class authorities; examines parallel algorithm-architecture interaction through issues of computational capacity-based codesign and automatic restructuring of programs using compilation techniques; reviews emerging applications of numerical methods in information retrieval and data mining; discusses the latest issues in dense and sparse matrix computations for modern high-performance systems, multicores, manycores and GPUs, and several perspectives on the Spike family of algorithms for solving linear systems; presents outstanding challenges and developing technologies, and puts these in their historical context.
Book Synopsis Optimization Software Guide by : Jorge J. More
Download or read book Optimization Software Guide written by Jorge J. More and published by SIAM. This book was released on 1993-01-01 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developments in optimization theory, including emphasis on large problems and on interior-point methods for linear programming, have begun to appear in production software. Here is a reference tool that includes discussions of these areas and names software packages that incorporate the results of theoretical research. After an introduction to the major problem areas in optimization and an outline of the algorithms used to solve them, a data sheet is presented for each of the 75 software packages and libraries in the authors' survey. These include information on the capabilities of the packages, how to obtain them, and addresses for further information. Standard optimization paradigms are addressed -- linear, quadratic, and nonlinear programming; network optimization; unconstrained and bound-constrained optimization; least-squares problems; nonlinear equations; and integer programming. The most practical algorithms for the major fields of numerical optimization are outlined, and the software packages in which they are implemented are described. This format will aid current and potential users of optimization software in classifying the optimization problem to be solved, determining appropriate algorithms, and obtaining the software that implements those algorithms. Readers need only a basic knowledge of vector calculus and linear algebra to understand this book.
Book Synopsis Computational Science and High Performance Computing II by : Egon Krause
Download or read book Computational Science and High Performance Computing II written by Egon Krause and published by Springer Science & Business Media. This book was released on 2006-06-18 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 27 contributions to the Second Russian-German Advanced Research Workshop on Computational Science and High Performance Computing presented in March 2005 at Stuttgart, Germany. Contributions range from computer science, mathematics and high performance computing to applications in mechanical and aerospace engineering.
Book Synopsis Computational Experience with Linear Optimization and Related Problems by : Joseph M. Elble
Download or read book Computational Experience with Linear Optimization and Related Problems written by Joseph M. Elble and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The computational aspects of the simplex algorithm are investigated, and high performance computing is used to enhance the computational performance of analogous algorithms for linear systems. It is wellknown that the efficiency of mathematical optimization software is integrally linked to the preprocessing techniques employed by software. Existing preprocessing techniques are reviewed, and the relative cost and effectiveness of these techniques are explored. Scaling is the most common preconditioning technique utilized in linear optimization solvers. Existing techniques for obtaining scaling factors for linear systems are investigated, and it is discovered that, on average, no scaling technique outperforms the simplest technique, i.e., equilibration, despite the added complexity and computational cost. Furthermore, simply applying techniques that work well in practice for linear systems (i.e., solving Ax = b, where A is an n x n matrix with full-rank and b is an n-vector) is not a solution to the underlying problem of scaling a linear program. A small computational study depicts the effectiveness of the Orchard-Hays triangularization technique in preordering a simplex basis for factorization. Pricing and pivoting in the simplex algorithm involve selecting an entering and exiting variable at each iteration. Several existing pricing procedures are reviewed, and new procedures are proposed. These procedures are capable of reducing the number of simplex iterations. By prohibiting specific variables from repeatedly re-entering the basis, degenerate cycles can be avoided. This phenomenon is computationally analyzed using several modern test problems. High performance computing is investigated for several related linear problems. A composite-Jacobi binormalization algorithm is developed for the graphics processing unit. It is shown that this algorithm achieves a six-fold improvement in performance relative to the corresponding CPU implementation. The graphics processing unit is used to solve large linear systems derived from partial differential equations. Well-known indirect methods are studied, and the results demonstrate that a graphics processing unit implementation of CGNR (conjugate gradient normal residual) is capable of out-performing a state-of-the-art parallel implementation of a specialized algorithm designed for a 16-node Linux cluster. The computational results demonstrate that the graphics processing unit offers a low-cost and high-performance computing solution for solving large-scale partial differential equations.
Book Synopsis Advances in Mathematical Methods and High Performance Computing by : Vinai K. Singh
Download or read book Advances in Mathematical Methods and High Performance Computing written by Vinai K. Singh and published by Springer. This book was released on 2019-02-14 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: This special volume of the conference will be of immense use to the researchers and academicians. In this conference, academicians, technocrats and researchers will get an opportunity to interact with eminent persons in the field of Applied Mathematics and Scientific Computing. The topics to be covered in this International Conference are comprehensive and will be adequate for developing and understanding about new developments and emerging trends in this area. High-Performance Computing (HPC) systems have gone through many changes during the past two decades in their architectural design to satisfy the increasingly large-scale scientific computing demand. Accurate, fast, and scalable performance models and simulation tools are essential for evaluating alternative architecture design decisions for the massive-scale computing systems. This conference recounts some of the influential work in modeling and simulation for HPC systems and applications, identifies some of the major challenges, and outlines future research directions which we believe are critical to the HPC modeling and simulation community.
Book Synopsis Faculty and Student Programs by : Argonne National Laboratory. Division of Educational Programs
Download or read book Faculty and Student Programs written by Argonne National Laboratory. Division of Educational Programs and published by . This book was released on with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
