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Author : Michael Stingl
Publisher :
ISBN 13 : 9783832253332
Total Pages : 150 pages
Book Rating : 4.2/5 (533 download)
Download or read book On the Solution of Nonlinear Semidefinite Programs by Augmented Lagrangian Methods written by Michael Stingl and published by . This book was released on 2006 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ernesto G. Birgin
Publisher : SIAM
ISBN 13 : 161197335X
Total Pages : 222 pages
Book Rating : 4.6/5 (119 download)
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. 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 : Franco Giannessi
Publisher : Springer Science & Business Media
ISBN 13 : 0387242767
Total Pages : 1163 pages
Book Rating : 4.3/5 (872 download)
Download or read book Variational Analysis and Applications written by Franco Giannessi and published by Springer Science & Business Media. This book was released on 2007-03-06 with total page 1163 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Volume contains the (refereed) papers presented at the 38th Conference of the School of Mathematics "G.Stampacchia" of the "E.Majorana" Centre for Scientific Culture of Erice (Sicily), held in Memory ofG. Stampacchia and J.-L. Lions in the period June 20 - July 2003. The presence of participants from Countries has greatly contributed to the success of the meeting. The School of Mathematics was dedicated to Stampacchia, not only for his great mathematical achievements, but also because He founded it. The core of the Conference has been the various features of the Variational Analysis and their motivations and applications to concrete problems. Variational Analysis encompasses a large area of modem Mathematics, such as the classical Calculus of Variations, the theories of perturbation, approximation, subgradient, subderivates, set convergence and Variational Inequalities, and all these topics have been deeply and intensely dealt during the Conference. In particular, Variational Inequalities, which have been initiated by Stampacchia, inspired by Signorini Problem and the related work of G. Fichera, have offered a very great possibility of applications to several fundamental problems of Mathematical Physics, Engineering, Statistics and Economics. The pioneer work of Stampacchia and Lions can be considered as the basic kernel around which Variational Analysis is going to be outlined and constructed. The Conference has dealt with both finite and infinite dimensional analysis, showing that to carry on these two aspects disjointly is unsuitable for both.
Author : Ronald Glowinski
Publisher : SIAM
ISBN 13 : 9781611970838
Total Pages : 300 pages
Book Rating : 4.9/5 (78 download)
Download or read book Augmented Lagrangian and Operator-splitting Methods in Nonlinear Mechanics written by Ronald Glowinski and published by SIAM. This book was released on 1989-01-01 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: A need for a deeper understanding of the convergence properties of augmented Lagrangian algorithms and of their relationship to operator-splitting methods such as alternating-methods direction and the development of more efficient algorithms prompted the authors to write this book. The volume is oriented to applications in continuum mechanics. This volume deals with the numerical simulation of the behavior of continuous media by augmented Lagrangian and operator-splitting methods (coupled to finite-element approximations). It begins with a description of the mechanical and mathematical frameworks of the considered applications as well as a general analysis of the basic numerical methods additionally used to study them. These ideas are then applied to specific classes of mechanical problems.
Author : Paul L. A. Popelier
Publisher : World Scientific
ISBN 13 : 1848167245
Total Pages : 375 pages
Book Rating : 4.8/5 (481 download)
Download or read book Solving the Schrdinger Equation written by Paul L. A. Popelier and published by World Scientific. This book was released on 2011 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Schrdinger equation is the master equation of quantum chemistry. The founders of quantum mechanics realised how this equation underpins essentially the whole of chemistry. However, they recognised that its exact application was much too complicated to be solvable at the time. More than two generations of researchers were left to work out how to achieve this ambitious goal for molecular systems of ever-increasing size. This book focuses on non-mainstream methods to solve the molecular electronic Schrdinger equation. Each method is based on a set of core ideas and this volume aims to explain these ideas clearly so that they become more accessible. By bringing together these non-standard methods, the book intends to inspire graduate students, postdoctoral researchers and academics to think of novel approaches. Is there a method out there that we have not thought of yet? Can we design a new method that combines the best of all worlds?
Author : Ernesto G. Birgin
Publisher : SIAM
ISBN 13 : 1611973368
Total Pages : 222 pages
Book Rating : 4.6/5 (119 download)
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.
Author : Lorenz T. Biegler
Publisher : SIAM
ISBN 13 : 0898717027
Total Pages : 415 pages
Book Rating : 4.8/5 (987 download)
Download or read book Nonlinear Programming written by Lorenz T. Biegler and published by SIAM. This book was released on 2010-10-14 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive treatment of nonlinear programming concepts and algorithms, especially as they apply to challenging applications in chemical process engineering.
Author : M. Fortin
Publisher : Elsevier
ISBN 13 : 008087536X
Total Pages : 361 pages
Book Rating : 4.0/5 (88 download)
Download or read book Augmented Lagrangian Methods written by M. Fortin and published by Elsevier. This book was released on 2000-04-01 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : David A. Mazziotti
Publisher : John Wiley & Sons
ISBN 13 : 047010659X
Total Pages : 300 pages
Book Rating : 4.4/5 (71 download)
Download or read book Reduced-Density-Matrix Mechanics written by David A. Mazziotti and published by John Wiley & Sons. This book was released on 2007-04-06 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: An up-to-date account of this cutting-edge research in a consistent and understandable framework, of special interest to experts in other areas of electronic structure and/or quantum many-body theory. It will serve equally well as a self-contained guide to learning about reduced density matrices either through self-study or in a classroom as well as an invaluable resource for understanding the critical advancements in the field.
Author : Robert Michael Lewis
Publisher :
ISBN 13 :
Total Pages : 45 pages
Book Rating : 4.:/5 (316 download)
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.
Author : Stanford University. Systems Optimization Laboratory
Publisher :
ISBN 13 :
Total Pages : 48 pages
Book Rating : 4.F/5 ( download)
Download or read book Constrained Nonlinear Programming written by Stanford University. Systems Optimization Laboratory and published by . This book was released on 1987 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "We review several aspects of constrained nonlinear programming. Selected optimality conditions are derived and discussed. We also present various algorithms for constrained nonlinear programming, including their theoretical and practical properties."
Author : Alex Lemon
Publisher : Now Publishers
ISBN 13 : 9781680831368
Total Pages : 180 pages
Book Rating : 4.8/5 (313 download)
Download or read book Low-Rank Semidefinite Programming written by Alex Lemon and published by Now Publishers. This book was released on 2016-05-04 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finding low-rank solutions of semidefinite programs is important in many applications. For example, semidefinite programs that arise as relaxations of polynomial optimization problems are exact relaxations when the semidefinite program has a rank-1 solution. Unfortunately, computing a minimum-rank solution of a semidefinite program is an NP-hard problem. This monograph reviews the theory of low-rank semidefinite programming, presenting theorems that guarantee the existence of a low-rank solution, heuristics for computing low-rank solutions, and algorithms for finding low-rank approximate solutions. It then presents applications of the theory to trust-region problems and signal processing.
Author :
Publisher :
ISBN 13 :
Total Pages : 698 pages
Book Rating : 4.3/5 (91 download)
Download or read book ESAIM. written by and published by . This book was released on 2007 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Roland Glowinski
Publisher : SIAM
ISBN 13 : 1611973783
Total Pages : 473 pages
Book Rating : 4.6/5 (119 download)
Download or read book Variational Methods for the Numerical Solution of Nonlinear Elliptic Problem written by Roland Glowinski and published by SIAM. This book was released on 2015-11-04 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: Variational Methods for the Numerical Solution of Nonlinear Elliptic Problems?addresses computational methods that have proven efficient for the solution of a large variety of nonlinear elliptic problems. These methods can be applied to many problems in science and engineering, but this book focuses on their application to problems in continuum mechanics and physics. This book differs from others on the topic by presenting examples of the power and versatility of operator-splitting methods; providing a detailed introduction to alternating direction methods of multipliers and their applicability to the solution of nonlinear (possibly nonsmooth) problems from science and engineering; and showing that nonlinear least-squares methods, combined with operator-splitting and conjugate gradient algorithms, provide efficient tools for the solution of highly nonlinear problems. The book provides useful insights suitable for advanced graduate students, faculty, and researchers in applied and computational mathematics as well as research engineers, mathematical physicists, and systems engineers.
Author : Timothy A. Davis
Publisher : SIAM
ISBN 13 : 0898716136
Total Pages : 228 pages
Book Rating : 4.8/5 (987 download)
Download or read book Direct Methods for Sparse Linear Systems written by Timothy A. Davis and published by SIAM. This book was released on 2006-09-01 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sparse backslash book. Everything you wanted to know but never dared to ask about modern direct linear solvers. Chen Greif, Assistant Professor, Department of Computer Science, University of British Columbia.Overall, the book is magnificent. It fills a long-felt need for an accessible textbook on modern sparse direct methods. Its choice of scope is excellent John Gilbert, Professor, Department of Computer Science, University of California, Santa Barbara.Computational scientists often encounter problems requiring the solution of sparse systems of linear equations. Attacking these problems efficiently requires an in-depth knowledge of the underlying theory, algorithms, and data structures found in sparse matrix software libraries. Here, Davis presents the fundamentals of sparse matrix algorithms to provide the requisite background. The book includes CSparse, a concise downloadable sparse matrix package that illustrates the algorithms and theorems presented in the book and equips readers with the tools necessary to understand larger and more complex software packages.With a strong emphasis on MATLAB and the C programming language, Direct Methods for Sparse Linear Systems equips readers with the working knowledge required to use sparse solver packages and write code to interface applications to those packages. The book also explains how MATLAB performs its sparse matrix computations.Audience This invaluable book is essential to computational scientists and software developers who want to understand the theory and algorithms behind modern techniques used to solve large sparse linear systems. The book also serves as an excellent practical resource for students with an interest in combinatorial scientific computing.Preface; Chapter 1: Introduction; Chapter 2: Basic algorithms; Chapter 3: Solving triangular systems; Chapter 4: Cholesky factorization; Chapter 5: Orthogonal methods; Chapter 6: LU factorization; Chapter 7: Fill-reducing orderings; Chapter 8: Solving sparse linear systems; Chapter 9: CSparse; Chapter 10: Sparse matrices in MATLAB; Appendix: Basics of the C programming language; Bibliography; Index.
Author : Gianni Pillo
Publisher : Springer Science & Business Media
ISBN 13 : 1461302412
Total Pages : 418 pages
Book Rating : 4.4/5 (613 download)
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.
Author : Christian Kanzow
Publisher :
ISBN 13 :
Total Pages : 23 pages
Book Rating : 4.:/5 (634 download)
Download or read book Successive Linearization Methods for Nonlinear Semidefinite Programs written by Christian Kanzow and published by . This book was released on 2003 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:
