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A Mathematical View of Interior-point Methods in Convex Optimization

2001-01-01 Mathematics
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Release : 2001-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 812/5 ( reviews)

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Book Synopsis A Mathematical View of Interior-point Methods in Convex Optimization by : James Renegar

Download or read book A Mathematical View of Interior-point Methods in Convex Optimization written by James Renegar. This book was released on 2001-01-01. 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.

A Mathematical View of Interior-Point Methods in Convex Optimization

2001-01-01 Mathematics
Download A Mathematical View of Interior-Point Methods in Convex Optimization PDF Online Free

Author :
Release : 2001-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 024/5 ( reviews)

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Book Synopsis A Mathematical View of Interior-Point Methods in Convex Optimization by : James Renegar

Download or read book A Mathematical View of Interior-Point Methods in Convex Optimization written by James Renegar. This book was released on 2001-01-01. Available in PDF, EPUB and Kindle. Book excerpt: Takes the reader who knows little of interior-point methods to within sight of the research frontier.

Interior-point Polynomial Algorithms in Convex Programming

1994-01-01 Mathematics
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Release : 1994-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 791/5 ( reviews)

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Book Synopsis Interior-point Polynomial Algorithms in Convex Programming by : Yurii Nesterov

Download or read book Interior-point Polynomial Algorithms in Convex Programming written by Yurii Nesterov. This book was released on 1994-01-01. 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.

Interior Point Approach to Linear, Quadratic and Convex Programming

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 340/5 ( reviews)

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Book Synopsis Interior Point Approach to Linear, Quadratic and Convex Programming by : D. den Hertog

Download or read book Interior Point Approach to Linear, Quadratic and Convex Programming written by D. den Hertog. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the rapidly developing field of interior point methods (IPMs). An extensive analysis is given of path-following methods for linear programming, quadratic programming and convex programming. These methods, which form a subclass of interior point methods, follow the central path, which is an analytic curve defined by the problem. Relatively simple and elegant proofs for polynomiality are given. The theory is illustrated using several explicit examples. Moreover, an overview of other classes of IPMs is given. It is shown that all these methods rely on the same notion as the path-following methods: all these methods use the central path implicitly or explicitly as a reference path to go to the optimum. For specialists in IPMs as well as those seeking an introduction to IPMs. The book is accessible to any mathematician with basic mathematical programming knowledge.

Lectures on Modern Convex Optimization

2001-01-01 Technology & Engineering
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Release : 2001-01-01
Genre : Technology & Engineering
Kind : eBook
Book Rating : 915/5 ( reviews)

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Book Synopsis Lectures on Modern Convex Optimization by : Aharon Ben-Tal

Download or read book Lectures on Modern Convex Optimization written by Aharon Ben-Tal. This book was released on 2001-01-01. 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.

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