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Download or read book Analytic Center Cutting Plane and Path-following Interior-point Methods in Convex Programming and Variational Inequalities written by and published by . This book was released on 1998 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yurii Nesterov
Publisher : SIAM
ISBN 13 : 9781611970791
Total Pages : 414 pages
Book Rating : 4.9/5 (77 download)
Download or read book Interior-point Polynomial Algorithms in Convex Programming written by Yurii Nesterov and published by SIAM. This book was released on 1994-01-01 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: Specialists working in the areas of optimization, mathematical programming, or control theory will find this book invaluable for studying interior-point methods for linear and quadratic programming, polynomial-time methods for nonlinear convex programming, and efficient computational methods for control problems and variational inequalities. A background in linear algebra and mathematical programming is necessary to understand the book. The detailed proofs and lack of "numerical examples" might suggest that the book is of limited value to the reader interested in the practical aspects of convex optimization, but nothing could be further from the truth. An entire chapter is devoted to potential reduction methods precisely because of their great efficiency in practice.
Author :
Publisher :
ISBN 13 :
Total Pages : 846 pages
Book Rating : 4.F/5 ( download)
Download or read book Dissertation Abstracts International written by and published by . This book was released on 2000 with total page 846 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yurii E. Nesterov
Publisher :
ISBN 13 :
Total Pages : 23 pages
Book Rating : 4.:/5 (933 download)
Download or read book Homogeneous Analytic Center Cutting Plane Methods for Convex Problems and Variational Inequalities written by Yurii E. Nesterov and published by . This book was released on 1997 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 848 pages
Book Rating : 4.F/5 ( download)
Download or read book American Doctoral Dissertations written by and published by . This book was released on 1999 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Institute for Operations Research and the Management Sciences. National Meeting
Publisher :
ISBN 13 :
Total Pages : 180 pages
Book Rating : 4.E/5 ( download)
Download or read book INFORMS Conference Program written by Institute for Operations Research and the Management Sciences. National Meeting and published by . This book was released on 1998 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 740 pages
Book Rating : 4.X/5 (6 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2001 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Goffin, Jean-Louis
Publisher : Montréal : Groupe d'études et de recherche en analyse des décisions
ISBN 13 :
Total Pages : 78 pages
Book Rating : 4.:/5 (366 download)
Download or read book A Nonlinear Analytic Center Cutting Plane Method for a Class of Convex Programming Problems written by Goffin, Jean-Louis and published by Montréal : Groupe d'études et de recherche en analyse des décisions. This book was released on 1996 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sébastien Bubeck
Publisher : Foundations and Trends (R) in Machine Learning
ISBN 13 : 9781601988607
Total Pages : 142 pages
Book Rating : 4.9/5 (886 download)
Download or read book Convex Optimization written by Sébastien Bubeck and published by Foundations and Trends (R) in Machine Learning. This book was released on 2015-11-12 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents the main complexity theorems in convex optimization and their corresponding algorithms. It begins with the fundamental theory of black-box optimization and proceeds to guide the reader through recent advances in structural optimization and stochastic optimization. The presentation of black-box optimization, strongly influenced by the seminal book by Nesterov, includes the analysis of cutting plane methods, as well as (accelerated) gradient descent schemes. Special attention is also given to non-Euclidean settings (relevant algorithms include Frank-Wolfe, mirror descent, and dual averaging), and discussing their relevance in machine learning. The text provides a gentle introduction to structural optimization with FISTA (to optimize a sum of a smooth and a simple non-smooth term), saddle-point mirror prox (Nemirovski's alternative to Nesterov's smoothing), and a concise description of interior point methods. In stochastic optimization it discusses stochastic gradient descent, mini-batches, random coordinate descent, and sublinear algorithms. It also briefly touches upon convex relaxation of combinatorial problems and the use of randomness to round solutions, as well as random walks based methods.
Author : Stephen P. Boyd
Publisher : Cambridge University Press
ISBN 13 : 9780521833783
Total Pages : 744 pages
Book Rating : 4.8/5 (337 download)
Download or read book Convex Optimization written by Stephen P. Boyd and published by Cambridge University Press. This book was released on 2004-03-08 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: Convex optimization problems arise frequently in many different fields. This book provides a comprehensive introduction to the subject, and shows in detail how such problems can be solved numerically with great efficiency. The book begins with the basic elements of convex sets and functions, and then describes various classes of convex optimization problems. Duality and approximation techniques are then covered, as are statistical estimation techniques. Various geometrical problems are then presented, and there is detailed discussion of unconstrained and constrained minimization problems, and interior-point methods. The focus of the book is on recognizing convex optimization problems and then finding the most appropriate technique for solving them. It contains many worked examples and homework exercises and will appeal to students, researchers and practitioners in fields such as engineering, computer science, mathematics, statistics, finance and economics.
Author : Renato Duarte Carneiro Monteiro
Publisher :
ISBN 13 :
Total Pages : 160 pages
Book Rating : 4.:/5 (7 download)
Download or read book Interior Path Following Primal-dual Algorithms written by Renato Duarte Carneiro Monteiro and published by . This book was released on 1988 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Reha Hüsnü Tütüncü
Publisher :
ISBN 13 :
Total Pages : 324 pages
Book Rating : 4.E/5 ( download)
Download or read book Infeasible-interior-point Methods for Linear and Convex Programming written by Reha Hüsnü Tütüncü and published by . This book was released on 1996 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R. C. Monteiro
Publisher :
ISBN 13 :
Total Pages : 34 pages
Book Rating : 4.:/5 (227 download)
Download or read book An O(n3L) Interior Point Algorithm for Convex Quadratic Programming written by R. C. Monteiro and published by . This book was released on 1987 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors describe a primal-dual interior point algorithm for convex quadratic programming problems which requires a total of O(cu n L) arithmetic operations. Each iteration updates a penalty parameter and finds an approximate Newton's direction associated with the Kuhn-Tucker system of equations which characterizes a solution of the logarithm barrier function problem. This direction is then used to find the next iterate. The algorithm is based on the path following idea. The total number of iterations is shown to be of the order of O (square root of n L). Keywords: Interior-point methods; Convex quadratic programming; Karmarkar's algorithm; Polynomial-time algorithms; Barrier function; Path following. (Author).
Author : Aharon Ben-Tal
Publisher : SIAM
ISBN 13 : 0898714915
Total Pages : 500 pages
Book Rating : 4.8/5 (987 download)
Download or read book Lectures on Modern Convex Optimization written by Aharon Ben-Tal and published by SIAM. This book was released on 2001-01-01 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is a book devoted to well-structured and thus efficiently solvable convex optimization problems, with emphasis on conic quadratic and semidefinite programming. The authors present the basic theory underlying these problems as well as their numerous applications in engineering, including synthesis of filters, Lyapunov stability analysis, and structural design. The authors also discuss the complexity issues and provide an overview of the basic theory of state-of-the-art polynomial time interior point methods for linear, conic quadratic, and semidefinite programming. The book's focus on well-structured convex problems in conic form allows for unified theoretical and algorithmical treatment of a wide spectrum of important optimization problems arising in applications.
Author : Olivier Bahn
Publisher : Montréal : Groupe d'études et de recherche en analyse des décisions
ISBN 13 :
Total Pages : 58 pages
Book Rating : 4.:/5 (269 download)
Download or read book Implementation and Behavior of an Interior Point Cutting Plane Algorithm for Convex Programming : an Application to Geometric Programming written by Olivier Bahn and published by Montréal : Groupe d'études et de recherche en analyse des décisions. This book was released on 1991 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (716 download)
Download or read book ACCPM written by and published by . This book was released on 1995 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stephen Boyd
Publisher : SIAM
ISBN 13 : 9781611970777
Total Pages : 203 pages
Book Rating : 4.9/5 (77 download)
Download or read book Linear Matrix Inequalities in System and Control Theory written by Stephen Boyd and published by SIAM. This book was released on 1994-01-01 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the authors reduce a wide variety of problems arising in system and control theory to a handful of convex and quasiconvex optimization problems that involve linear matrix inequalities. These optimization problems can be solved using recently developed numerical algorithms that not only are polynomial-time but also work very well in practice; the reduction therefore can be considered a solution to the original problems. This book opens up an important new research area in which convex optimization is combined with system and control theory, resulting in the solution of a large number of previously unsolved problems.
