Numerical Methods For Constrained Optimization
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Numerical Methods For Constrained Optimization
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Author : Philip E. Gill
language : en
Publisher:
Release Date : 1974
Numerical Methods For Constrained Optimization written by Philip E. Gill and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Mathematics categories.
Based on the proceedings of a symposium on numerical methods for constrained optimization held at the National Physical Laboratory, January, 1974.
Numerical Methods For Constrained Optimization
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Author : Philip Edward Gill
language : en
Publisher:
Release Date : 1978
Numerical Methods For Constrained Optimization written by Philip Edward Gill and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with categories.
Numerical Methods For Constrained Optimization
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Author : W. Murray
language : en
Publisher:
Release Date : 1974
Numerical Methods For Constrained Optimization written by W. Murray and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Mathematical optimization categories.
Numerical Optimization
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Author : Jorge Nocedal
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-12-11
Numerical Optimization written by Jorge Nocedal 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 2006-12-11 with Mathematics categories.
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.
Constrained Optimization In The Calculus Of Variations And Optimal Control Theory
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Author : J Gregory
language : en
Publisher: CRC Press
Release Date : 2018-01-18
Constrained Optimization In The Calculus Of Variations And Optimal Control Theory written by J Gregory and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-18 with Mathematics categories.
The major purpose of this book is to present the theoretical ideas and the analytical and numerical methods to enable the reader to understand and efficiently solve these important optimizational problems.The first half of this book should serve as the major component of a classical one or two semester course in the calculus of variations and optimal control theory. The second half of the book will describe the current research of the authors which is directed to solving these problems numerically. In particular, we present new reformulations of constrained problems which leads to unconstrained problems in the calculus of variations and new general, accurate and efficient numerical methods to solve the reformulated problems. We believe that these new methods will allow the reader to solve important problems.
Numerical Methods In Sensitivity Analysis And Shape Optimization
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Author : Emmanuel Laporte
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Numerical Methods In Sensitivity Analysis And Shape Optimization written by Emmanuel Laporte 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 Technology & Engineering categories.
Sensitivity analysis and optimal shape design are key issues in engineering that have been affected by advances in numerical tools currently available. This book, and its supplementary online files, presents basic optimization techniques that can be used to compute the sensitivity of a given design to local change, or to improve its performance by local optimization of these data. The relevance and scope of these techniques have improved dramatically in recent years because of progress in discretization strategies, optimization algorithms, automatic differentiation, software availability, and the power of personal computers. Numerical Methods in Sensitivity Analysis and Shape Optimization will be of interest to graduate students involved in mathematical modeling and simulation, as well as engineers and researchers in applied mathematics looking for an up-to-date introduction to optimization techniques, sensitivity analysis, and optimal design.
Numerical Methods For Constrained And Unconstrained Optimization
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Author : Paul T. Boggs
language : en
Publisher:
Release Date : 1982
Numerical Methods For Constrained And Unconstrained Optimization written by Paul T. Boggs and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with categories.
The main thrust of the research has been toward the development of efficient algorithms for solving the finite - dimensional constrained optimization problem. Historically, problems of this type have been solved by either penalty function methods or through linearization procedures. The fact that neither of these techniques is completely satisfactory for general nonlinear problems has lead to a concentrated research effort to find better approaches. What has so far emerged from this work is a blending of the penalty function land linearization ideas with the quadratic approximation methods associated with unconstrained optimization. While there remain many unresolved issues, it is now apparent that this synthesis has resulted in more efficient algorithms for the nonlinear constrained optimization problem. (Author).
The Linearization Method For Constrained Optimization
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Author : Boris N. Pshenichnyj
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Linearization Method For Constrained Optimization written by Boris N. Pshenichnyj 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 Science categories.
Techniques of optimization are applied in many problems in economics, automatic control, engineering, etc. and a wealth of literature is devoted to this subject. The first computer applications involved linear programming problems with simp- le structure and comparatively uncomplicated nonlinear pro- blems: These could be solved readily with the computational power of existing machines, more than 20 years ago. Problems of increasing size and nonlinear complexity made it necessa- ry to develop a complete new arsenal of methods for obtai- ning numerical results in a reasonable time. The lineariza- tion method is one of the fruits of this research of the last 20 years. It is closely related to Newton's method for solving systems of linear equations, to penalty function me- thods and to methods of nondifferentiable optimization. It requires the efficient solution of quadratic programming problems and this leads to a connection with conjugate gra- dient methods and variable metrics. This book, written by one of the leading specialists of optimization theory, sets out to provide - for a wide readership including engineers, economists and optimization specialists, from graduate student level on - a brief yet quite complete exposition of this most effective method of solution of optimization problems.
Semismooth Newton Methods For Variational Inequalities And Constrained Optimization Problems In Function Spaces
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Author : Michael Ulbrich
language : en
Publisher: SIAM
Release Date : 2011-07-28
Semismooth Newton Methods For Variational Inequalities And Constrained Optimization Problems In Function Spaces written by Michael Ulbrich and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-28 with Mathematics categories.
A comprehensive treatment of semismooth Newton methods in function spaces: from their foundations to recent progress in the field. This book is appropriate for researchers and practitioners in PDE-constrained optimization, nonlinear optimization and numerical analysis, as well as engineers interested in the current theory and methods for solving variational inequalities.
Constrained Optimization In The Calculus Of Variations And Optimal Control Theory
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Author : John Gregory
language : en
Publisher: Springer
Release Date : 2012-09-17
Constrained Optimization In The Calculus Of Variations And Optimal Control Theory written by John Gregory and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-17 with Computers categories.
A major problem in current applied mathematics is the lack of efficient and accurate techniques to solve optimization problems in the calculus of variations and optimal control theory. This is surprising since problems occur throughout many areas of applied mathematics, engineering, physical sciences, economics, and biomedicine. For instance, these techniques are used to solve rocket trajectory problems, current flow problems in electronics manufacturing, and financial risk problems in investing. The authors have written a unique book to remedy this problem. The first half of the book contains classical material in the field, the second half unique theoretical and numerical methods for constrained problems.