An Algorithm for the Deformation Method of Quadratic Programming

An Algorithm for the Deformation Method of Quadratic Programming PDF Author: Roger Even Bove
Publisher:
ISBN:
Category : Algorithms
Languages : en
Pages : 118

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Book Description
The following paper represents work to date on the deformation method for quadratic programming and thus may be regarded as a sequel to Zahl, S. (1964) A Deformation Method for Quadratic Programming, Research Note AFCRL-63-132. It gives an explanation of a modified Iverson programming language and uses this to give a detailed algorithm for the Zahl Deformation Method of Quadratic Programming.

An Algorithm for the Deformation Method of Quadratic Programming

An Algorithm for the Deformation Method of Quadratic Programming PDF Author: Roger Even Bove
Publisher:
ISBN:
Category : Algorithms
Languages : en
Pages : 118

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Book Description
The following paper represents work to date on the deformation method for quadratic programming and thus may be regarded as a sequel to Zahl, S. (1964) A Deformation Method for Quadratic Programming, Research Note AFCRL-63-132. It gives an explanation of a modified Iverson programming language and uses this to give a detailed algorithm for the Zahl Deformation Method of Quadratic Programming.

U.S. Government Research & Development Reports

U.S. Government Research & Development Reports PDF Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 260

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Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports PDF Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 244

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Technical Abstract Bulletin

Technical Abstract Bulletin PDF Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 866

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Integral Methods for Quadratic Programming

Integral Methods for Quadratic Programming PDF Author: Yves Dominique Brise
Publisher: Logos Verlag Berlin GmbH
ISBN: 3832533664
Category : Computers
Languages : en
Pages : 232

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Book Description
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.

Improved Method for Quantum-mechanical Three-body Problems

Improved Method for Quantum-mechanical Three-body Problems PDF Author: Leonard Eyges
Publisher:
ISBN:
Category : Integral equations
Languages : en
Pages : 18

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Book Description
The quantum-mechanical ground-state problem for three identical particles bound by attractive inter-particle potentials is discussed. For this problem it has previously been shown that it is advantageous to write the wave function in a special functional form, form which an integral equation which is equivalent to the Schrodinger equation was derived. In this paper a new method for solving this equation is presented. The method involves an expansion of a two-body problem with a potential of the same shape as the inter-particle potential in the three-body problem, but of enhanced strength.

Optimal Quadratic Programming Algorithms

Optimal Quadratic Programming Algorithms PDF Author: Zdenek Dostál
Publisher: Springer
ISBN: 9780387571447
Category : Mathematics
Languages : en
Pages : 0

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Book Description
Quadratic programming (QP) is one advanced mathematical technique that allows for the optimization of a quadratic function in several variables in the presence of linear constraints. This book presents recently developed algorithms for solving large QP problems and focuses on algorithms which are, in a sense optimal, i.e., they can solve important classes of problems at a cost proportional to the number of unknowns. For each algorithm presented, the book details its classical predecessor, describes its drawbacks, introduces modifications that improve its performance, and demonstrates these improvements through numerical experiments. This self-contained monograph can serve as an introductory text on quadratic programming for graduate students and researchers. Additionally, since the solution of many nonlinear problems can be reduced to the solution of a sequence of QP problems, it can also be used as a convenient introduction to nonlinear programming.

Government-wide Index to Federal Research & Development Reports

Government-wide Index to Federal Research & Development Reports PDF Author:
Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 1576

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Report on Research at AFCRL.

Report on Research at AFCRL. PDF Author: Air Force Cambridge Research Laboratories (U.S.)
Publisher:
ISBN:
Category : Geophysics
Languages : en
Pages : 392

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Form of the Electron Distribution Function in a Time-varying Plasma

Form of the Electron Distribution Function in a Time-varying Plasma PDF Author: Robert J. Papa
Publisher:
ISBN:
Category : Electron distribution
Languages : en
Pages : 10

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