Augmented Lagrangian Methods PDF Download
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Author | : Ernesto G. Birgin |
Publisher | : SIAM |
Total Pages | : 222 |
Release | : 2014-04-30 |
Genre | : Mathematics |
ISBN | : 161197335X |
Download Practical Augmented Lagrangian Methods for Constrained Optimization Book in PDF, ePub and Kindle
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. They also 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 they fully describe a freely available computational package for constrained optimization and illustrate its usefulness with applications.
Author | : M. Fortin |
Publisher | : Elsevier |
Total Pages | : 339 |
Release | : 2000-04-01 |
Genre | : Mathematics |
ISBN | : 9780080875361 |
Download Augmented Lagrangian Methods Book in PDF, ePub and Kindle
The purpose of this volume is to present the principles of the Augmented Lagrangian Method, together with numerous applications of this method to the numerical solution of boundary-value problems for partial differential equations or inequalities arising in Mathematical Physics, in the Mechanics of Continuous Media and in the Engineering Sciences.
Author | : Roland Glowinski |
Publisher | : SIAM |
Total Pages | : 301 |
Release | : 1989-01-01 |
Genre | : Science |
ISBN | : 0898712300 |
Download Augmented Lagrangian and Operator Splitting Methods in Nonlinear Mechanics Book in PDF, ePub and Kindle
This volume deals with the numerical simulation of the behavior of continuous media by augmented Lagrangian and operator-splitting methods.
Author | : Ernesto G. Birgin |
Publisher | : SIAM |
Total Pages | : 222 |
Release | : 2014-04-30 |
Genre | : Mathematics |
ISBN | : 1611973368 |
Download Practical Augmented Lagrangian Methods for Constrained Optimization Book in PDF, ePub and Kindle
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.
Author | : Xue-Cheng Tai |
Publisher | : |
Total Pages | : 0 |
Release | : 2009 |
Genre | : Computer vision |
ISBN | : 9788364202254 |
Download Scale Space and Variational Methods in Computer Vision Book in PDF, ePub and Kindle
This book constitutes the refereed proceedings of the Second International Conference on Scale Space Methods and Variational Methods in Computer Vision, SSVM 2009, emanated from the joint edition of the 5th International Workshop on Variational, Geometric and Level Set Methods in Computer Vision, VLSM 2009 and the 7th International Conference on Scale Space and PDE Methods in Computer Vision, Scale-Space 2009, held in Voss, Norway in June 2009. The 71 revised full papers presented were carefully reviewed and selected numerous submissions. The papers are organized in topical sections on segmentation and detection; image enhancement and reconstruction; motion analysis, optical flow, registration and tracking; surfaces and shapes; scale space and feature extraction.
Author | : Dimitri P. Bertsekas |
Publisher | : Academic Press |
Total Pages | : 412 |
Release | : 2014-05-10 |
Genre | : Mathematics |
ISBN | : 148326047X |
Download Constrained Optimization and Lagrange Multiplier Methods Book in PDF, ePub and Kindle
Computer Science and Applied Mathematics: Constrained Optimization and Lagrange Multiplier Methods focuses on the advancements in the applications of the Lagrange multiplier methods for constrained minimization. The publication first offers information on the method of multipliers for equality constrained problems and the method of multipliers for inequality constrained and nondifferentiable optimization problems. Discussions focus on approximation procedures for nondifferentiable and ill-conditioned optimization problems; asymptotically exact minimization in the methods of multipliers; duality framework for the method of multipliers; and the quadratic penalty function method. The text then examines exact penalty methods, including nondifferentiable exact penalty functions; linearization algorithms based on nondifferentiable exact penalty functions; differentiable exact penalty functions; and local and global convergence of Lagrangian methods. The book ponders on the nonquadratic penalty functions of convex programming. Topics include large scale separable integer programming problems and the exponential method of multipliers; classes of penalty functions and corresponding methods of multipliers; and convergence analysis of multiplier methods. The text is a valuable reference for mathematicians and researchers interested in the Lagrange multiplier methods.
Author | : Kazufumi Ito |
Publisher | : SIAM |
Total Pages | : 354 |
Release | : 2008-11-06 |
Genre | : Mathematics |
ISBN | : 0898716497 |
Download Lagrange Multiplier Approach to Variational Problems and Applications Book in PDF, ePub and Kindle
Analyses Lagrange multiplier theory and demonstrates its impact on the development of numerical algorithms for variational problems in function spaces.
Author | : Stephen Boyd |
Publisher | : Now Publishers Inc |
Total Pages | : 138 |
Release | : 2011 |
Genre | : Computers |
ISBN | : 160198460X |
Download Distributed Optimization and Statistical Learning Via the Alternating Direction Method of Multipliers Book in PDF, ePub and Kindle
Surveys the theory and history of the alternating direction method of multipliers, and discusses its applications to a wide variety of statistical and machine learning problems of recent interest, including the lasso, sparse logistic regression, basis pursuit, covariance selection, support vector machines, and many others.
Author | : Jorge Nocedal |
Publisher | : Springer Science & Business Media |
Total Pages | : 686 |
Release | : 2006-12-11 |
Genre | : Mathematics |
ISBN | : 0387400656 |
Download Numerical Optimization Book in PDF, ePub and Kindle
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.
Author | : Jong-Shi Pang |
Publisher | : Springer Science & Business Media |
Total Pages | : 266 |
Release | : 2012-12-06 |
Genre | : Business & Economics |
ISBN | : 1461551978 |
Download Computational Optimization Book in PDF, ePub and Kindle
Computational Optimization: A Tribute to Olvi Mangasarian serves as an excellent reference, providing insight into some of the most challenging research issues in the field. This collection of papers covers a wide spectrum of computational optimization topics, representing a blend of familiar nonlinear programming topics and such novel paradigms as semidefinite programming and complementarity-constrained nonlinear programs. Many new results are presented in these papers which are bound to inspire further research and generate new avenues for applications. An informal categorization of the papers includes: Algorithmic advances for special classes of constrained optimization problems Analysis of linear and nonlinear programs Algorithmic advances B- stationary points of mathematical programs with equilibrium constraints Applications of optimization Some mathematical topics Systems of nonlinear equations.