Large Scale Nonlinear Optimization
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Large Scale Nonlinear Optimization
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Author : Gianni Pillo
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-03
Large Scale Nonlinear Optimization written by Gianni Pillo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-03 with Mathematics categories.
Large-Scale Nonlinear Optimization reviews and discusses recent advances in the development of methods and algorithms for nonlinear optimization and its applications, focusing on the large-dimensional case, the current forefront of much research. The chapters of the book, authored by some of the most active and well-known researchers in nonlinear optimization, give an updated overview of the field from different and complementary standpoints, including theoretical analysis, algorithmic development, implementation issues and applications.
Lancelot
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Author : A.R. Conn
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Lancelot written by A.R. Conn and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Computers categories.
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).
Modern Numerical Nonlinear Optimization
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Author : Neculai Andrei
language : en
Publisher: Springer Nature
Release Date : 2022-10-18
Modern Numerical Nonlinear Optimization written by Neculai Andrei and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-18 with Mathematics categories.
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.
High Performance Algorithms And Software For Nonlinear Optimization
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Author : Gianni Pillo
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
High Performance Algorithms And Software For Nonlinear Optimization written by Gianni Pillo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
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.
Algorithms For Large Scale Nonlinear Optimization
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Author : Richard Alan Waltz
language : en
Publisher:
Release Date : 2002
Algorithms For Large Scale Nonlinear Optimization written by Richard Alan Waltz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.
We investigate two algorithmic approaches for the efficient and robust solution of large-scale, generally constrained, nonlinear optimization problems.
Electric Power Problems
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Author : A. M. Erisman
language : en
Publisher: SIAM
Release Date : 1980-01-01
Electric Power Problems written by A. M. Erisman and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-01-01 with Social Science categories.
Large Scale Pde Constrained Optimization
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Author : Lorenz T. Biegler
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Large Scale Pde Constrained Optimization written by Lorenz T. Biegler and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Optimal design, optimal control, and parameter estimation of systems governed by partial differential equations (PDEs) give rise to a class of problems known as PDE-constrained optimization. The size and complexity of the discretized PDEs often pose significant challenges for contemporary optimization methods. With the maturing of technology for PDE simulation, interest has now increased in PDE-based optimization. The chapters in this volume collectively assess the state of the art in PDE-constrained optimization, identify challenges to optimization presented by modern highly parallel PDE simulation codes, and discuss promising algorithmic and software approaches for addressing them. These contributions represent current research of two strong scientific computing communities, in optimization and PDE simulation. This volume merges perspectives in these two different areas and identifies interesting open questions for further research.
Continuous Nonlinear Optimization For Engineering Applications In Gams Technology
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Author : Neculai Andrei
language : en
Publisher: Springer
Release Date : 2017-12-04
Continuous Nonlinear Optimization For Engineering Applications In Gams Technology written by Neculai Andrei and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-04 with Mathematics categories.
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.
An Introduction To The Structure Of Large Scale Nonlinear Optimization Problems And The Lancelot Project
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Author : A. R. Conn
language : en
Publisher: University of Waterloo, Computer Science Department
Release Date : 1989
An Introduction To The Structure Of Large Scale Nonlinear Optimization Problems And The Lancelot Project written by A. R. Conn and has been published by University of Waterloo, Computer Science Department this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Computer software categories.
Abstract: "This paper presents the authors' personal views on two fundamental aspects amongst the recent developments in the growing field of large scale nonlinear mathematical programming. Important concepts for the description of problem structure are discussed in detail. A systematic approach to software development for this class of problems is also presented. The approach incorporates both suitable numerical algorithms and user oriented standard format for problem specification in a modular and coherent system."
Lancelot
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Author : Andrew R. Conn
language : en
Publisher: Springer Verlag
Release Date : 1992
Lancelot written by Andrew R. Conn and has been published by Springer Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.