Integral Methods For Quadratic Programming

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Integral Methods for Quadratic Programming

Author : Yves Dominique Brise
Publisher : Logos Verlag Berlin GmbH
ISBN 13 : 3832533664
Total Pages : 232 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Integral Methods for Quadratic Programming by : Yves Dominique Brise

Download or read book Integral Methods for Quadratic Programming written by Yves Dominique Brise and published by Logos Verlag Berlin GmbH. This book was released on 2013 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This PhD thesis was written at ETH Zurich, in Prof. Dr. Emo Welzl's research group, under the supervision of Dr. Bernd Garnter. It shows two theoretical results that are both related to quadratic programming. The first one concerns the abstract optimization framework of violator spaces and the randomized procedure called Clarkson's algorithm. In a nutshell, the algorithm randomly samples from a set of constraints, computes an optimal solution subject to these constraints, and then checks whether the ignored constraints violate the solution. If not, some form of re-sampling occurs. We present the algorithm in the easiest version that can still be analyzed successfully. The second contribution concerns quadratic programming more directly. It is well-known that a simplex-like procedure can be applied to quadratic programming. The main computational effort in this algorithm comes from solving a series of linear equation systems that change gradually. We develop the integral LU decomposition of matrices, which allows us to solve the equation systems efficiently and to exploit sparse inputs. Last but not least, a considerable portion of the work included in this thesis was devoted to implementing the integral LU decomposition in the framework of the existing quadratic programming solver in the Computational Geometry Algorithms Library (CGAL). In the last two chapters we describe our implementation and the experimental results we obtained.

Methods for Linear and Quadratic Programming

Author : C. van de Panne
Publisher : North-Holland
ISBN 13 :
Total Pages : 500 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Methods for Linear and Quadratic Programming by : C. van de Panne

Download or read book Methods for Linear and Quadratic Programming written by C. van de Panne and published by North-Holland. This book was released on 1975 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Integral Methods in Science and Engineering, Volume 2

Author : Maria Eugenia Perez
Publisher : Springer Science & Business Media
ISBN 13 : 0817648976
Total Pages : 372 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Integral Methods in Science and Engineering, Volume 2 by : Maria Eugenia Perez

Download or read book Integral Methods in Science and Engineering, Volume 2 written by Maria Eugenia Perez and published by Springer Science & Business Media. This book was released on 2009-12-11 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two volumes contain 65 chapters, which are based on talks presented by reputable researchers in the field at the Tenth International Conference on Integral Methods in Science and Engineering. The chapters address a wide variety of methodologies, from the construction of boundary integral methods to the application of integration-based analytic and computational techniques in almost all aspects of today's technological world. Both volumes are useful references for a broad audience of professionals, including pure and applied mathematicians, physicists, biologists, and mechanical, civil, and electrical engineers, as well as graduate students, who use integration as a fundamental technique in their research.

Matrix, Numerical, and Optimization Methods in Science and Engineering

Author : Kevin W. Cassel
Publisher : Cambridge University Press
ISBN 13 : 1108787622
Total Pages : 728 pages
Book Rating : 4.1/5 (87 download)

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Book Synopsis Matrix, Numerical, and Optimization Methods in Science and Engineering by : Kevin W. Cassel

Download or read book Matrix, Numerical, and Optimization Methods in Science and Engineering written by Kevin W. Cassel and published by Cambridge University Press. This book was released on 2021-03-04 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: Address vector and matrix methods necessary in numerical methods and optimization of linear systems in engineering with this unified text. Treats the mathematical models that describe and predict the evolution of our processes and systems, and the numerical methods required to obtain approximate solutions. Explores the dynamical systems theory used to describe and characterize system behaviour, alongside the techniques used to optimize their performance. Integrates and unifies matrix and eigenfunction methods with their applications in numerical and optimization methods. Consolidating, generalizing, and unifying these topics into a single coherent subject, this practical resource is suitable for advanced undergraduate students and graduate students in engineering, physical sciences, and applied mathematics.

Duality in Quadratic Programming

Author : William S. Dorn
Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Duality in Quadratic Programming by : William S. Dorn

Download or read book Duality in Quadratic Programming written by William S. Dorn and published by . This book was released on 1958 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Control Perspectives on Numerical Algorithms and Matrix Problems

Author : Amit Bhaya
Publisher : SIAM
ISBN 13 : 0898716020
Total Pages : 291 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Control Perspectives on Numerical Algorithms and Matrix Problems by : Amit Bhaya

Download or read book Control Perspectives on Numerical Algorithms and Matrix Problems written by Amit Bhaya and published by SIAM. This book was released on 2006-03-01 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book organizes the analysis and design of iterative numerical methods from a control perspective. A variety of applications are discussed, including iterative methods for linear and nonlinear systems of equations, neural networks for linear and quadratic programming problems and integration and shooting methods for ordinary differential equations.

Interior-point Polynomial Algorithms in Convex Programming

Author : Yurii Nesterov
Publisher : SIAM
ISBN 13 : 9781611970791
Total Pages : 414 pages
Book Rating : 4.9/5 (77 download)

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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 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.

NBS Special Publication

Author :
Publisher :
ISBN 13 :
Total Pages : 398 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis NBS Special Publication by :

Download or read book NBS Special Publication written by and published by . This book was released on 1968 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Domain Decomposition Methods in Science and Engineering XVII

Author : Ulrich Langer
Publisher : Springer Science & Business Media
ISBN 13 : 3540751998
Total Pages : 656 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Domain Decomposition Methods in Science and Engineering XVII by : Ulrich Langer

Download or read book Domain Decomposition Methods in Science and Engineering XVII written by Ulrich Langer and published by Springer Science & Business Media. This book was released on 2008-01-02 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: Domain decomposition is an active, interdisciplinary research field concerned with the development, analysis, and implementation of coupling and decoupling strategies in mathematical and computational models. This volume contains selected papers presented at the 17th International Conference on Domain Decomposition Methods in Science and Engineering. It presents the newest domain decomposition techniques and examines their use in the modeling and simulation of complex problems.

Applied Mechanics Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 804 pages
Book Rating : 4.:/5 (26 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1971 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Sequential Quadratic Programming Methods Based on Approximating a Projected Hessian Matrix

Author : Chaya Bleich Gurwitz
Publisher :
ISBN 13 : 9781016857901
Total Pages : 0 pages
Book Rating : 4.8/5 (579 download)

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Book Synopsis Sequential Quadratic Programming Methods Based on Approximating a Projected Hessian Matrix by : Chaya Bleich Gurwitz

Download or read book Sequential Quadratic Programming Methods Based on Approximating a Projected Hessian Matrix written by Chaya Bleich Gurwitz and published by . This book was released on 2022-10-27 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Interior Point Approach to Linear, Quadratic and Convex Programming

Author : D. den Hertog
Publisher : Springer Science & Business Media
ISBN 13 : 9401111340
Total Pages : 214 pages
Book Rating : 4.4/5 (11 download)

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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 and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 214 pages. 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.

Encyclopedia of Optimization

Author : Christodoulos A. Floudas
Publisher : Springer Science & Business Media
ISBN 13 : 0387747583
Total Pages : 4646 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Encyclopedia of Optimization by : Christodoulos A. Floudas

Download or read book Encyclopedia of Optimization written by Christodoulos A. Floudas and published by Springer Science & Business Media. This book was released on 2008-09-04 with total page 4646 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that show the spectrum of research, the richness of ideas, and the breadth of applications that has come from this field. The second edition builds on the success of the former edition with more than 150 completely new entries, designed to ensure that the reference addresses recent areas where optimization theories and techniques have advanced. Particularly heavy attention resulted in health science and transportation, with entries such as "Algorithms for Genomics", "Optimization and Radiotherapy Treatment Design", and "Crew Scheduling".

Interior Point Methods of Mathematical Programming

Author : Tamas Terlaky
Publisher : Springer Science & Business Media
ISBN 13 : 0792342011
Total Pages : 556 pages
Book Rating : 4.7/5 (923 download)

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Book Synopsis Interior Point Methods of Mathematical Programming by : Tamas Terlaky

Download or read book Interior Point Methods of Mathematical Programming written by Tamas Terlaky and published by Springer Science & Business Media. This book was released on 1996-09-30 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: One has to make everything as simple as possible but, never more simple. Albert Einstein Discovery consists of seeing what every body has seen and thinking what nobody has thought. Albert S. ent_Gyorgy; The primary goal of this book is to provide an introduction to the theory of Interior Point Methods (IPMs) in Mathematical Programming. At the same time, we try to present a quick overview of the impact of extensions of IPMs on smooth nonlinear optimization and to demonstrate the potential of IPMs for solving difficult practical problems. The Simplex Method has dominated the theory and practice of mathematical pro gramming since 1947 when Dantzig discovered it. In the fifties and sixties several attempts were made to develop alternative solution methods. At that time the prin cipal base of interior point methods was also developed, for example in the work of Frisch (1955), Caroll (1961), Huard (1967), Fiacco and McCormick (1968) and Dikin (1967). In 1972 Klee and Minty made explicit that in the worst case some variants of the simplex method may require an exponential amount of work to solve Linear Programming (LP) problems. This was at the time when complexity theory became a topic of great interest. People started to classify mathematical programming prob lems as efficiently (in polynomial time) solvable and as difficult (NP-hard) problems. For a while it remained open whether LP was solvable in polynomial time or not. The break-through resolution ofthis problem was obtained by Khachijan (1989).

Comprehensive Structural Integrity

Author : I. Milne
Publisher : Elsevier
ISBN 13 : 0080437494
Total Pages : 749 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Comprehensive Structural Integrity by : I. Milne

Download or read book Comprehensive Structural Integrity written by I. Milne and published by Elsevier. This book was released on 2003 with total page 749 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Comprehensive Structural Integrity

Author : Ian Milne
Publisher : Elsevier
ISBN 13 : 0080490735
Total Pages : 4647 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Comprehensive Structural Integrity by : Ian Milne

Download or read book Comprehensive Structural Integrity written by Ian Milne and published by Elsevier. This book was released on 2003-07-25 with total page 4647 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this major reference work is to provide a first point of entry to the literature for the researchers in any field relating to structural integrity in the form of a definitive research/reference tool which links the various sub-disciplines that comprise the whole of structural integrity. Special emphasis will be given to the interaction between mechanics and materials and structural integrity applications. Because of the interdisciplinary and applied nature of the work, it will be of interest to mechanical engineers and materials scientists from both academic and industrial backgrounds including bioengineering, interface engineering and nanotechnology. The scope of this work encompasses, but is not restricted to: fracture mechanics, fatigue, creep, materials, dynamics, environmental degradation, numerical methods, failure mechanisms and damage mechanics, interfacial fracture and nano-technology, structural analysis, surface behaviour and heart valves. The structures under consideration include: pressure vessels and piping, off-shore structures, gas installations and pipelines, chemical plants, aircraft, railways, bridges, plates and shells, electronic circuits, interfaces, nanotechnology, artificial organs, biomaterial prostheses, cast structures, mining... and more. Case studies will form an integral part of the work.

Classical and Modern Numerical Analysis

Author : Azmy S. Ackleh
Publisher : CRC Press
ISBN 13 : 1420091581
Total Pages : 628 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Classical and Modern Numerical Analysis by : Azmy S. Ackleh

Download or read book Classical and Modern Numerical Analysis written by Azmy S. Ackleh and published by CRC Press. This book was released on 2009-07-20 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical and Modern Numerical Analysis: Theory, Methods and Practice provides a sound foundation in numerical analysis for more specialized topics, such as finite element theory, advanced numerical linear algebra, and optimization. It prepares graduate students for taking doctoral examinations in numerical analysis.The text covers the main areas o