Author: Roger Even Bove
Publisher:
ISBN:
Category : Algorithms
Languages : en
Pages : 118
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
Author: Roger Even Bove
Publisher:
ISBN:
Category : Algorithms
Languages : en
Pages : 118
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.
Publisher:
ISBN:
Category : Algorithms
Languages : en
Pages : 118
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
Author: Roger Even Bove
Publisher:
ISBN:
Category : Algorithms
Languages : en
Pages : 0
Book Description
The algorithm presented represents the Zahl deformation method for quadratic programming. It gives an explanation of a modified Iverson programming language.
Publisher:
ISBN:
Category : Algorithms
Languages : en
Pages : 0
Book Description
The algorithm presented represents the Zahl deformation method for quadratic programming. It gives an explanation of a modified Iverson programming language.
Optimal Quadratic Programming Algorithms
Author: Zdenek Dostál
Publisher: Springer Science & Business Media
ISBN: 0387848061
Category : Mathematics
Languages : en
Pages : 293
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.
Publisher: Springer Science & Business Media
ISBN: 0387848061
Category : Mathematics
Languages : en
Pages : 293
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.
Integral Methods for Quadratic Programming
Author: Yves Dominique Brise
Publisher: Logos Verlag Berlin GmbH
ISBN: 3832533664
Category : Computers
Languages : en
Pages : 232
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.
Publisher: Logos Verlag Berlin GmbH
ISBN: 3832533664
Category : Computers
Languages : en
Pages : 232
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.
Machine-aided Design of Context-free Grammars
Author: Thomas G. Evans
Publisher:
ISBN:
Category : Computer-aided design
Languages : en
Pages : 0
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.
Publisher:
ISBN:
Category : Computer-aided design
Languages : en
Pages : 0
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.
Quadratic Programming with Computer Programs
Author: Michael J. Best
Publisher: CRC Press
ISBN: 1351647202
Category : Business & Economics
Languages : en
Pages : 423
Book Description
Quadratic programming is a mathematical technique that allows for the optimization of a quadratic function in several variables. QP is a subset of Operations Research and is the next higher lever of sophistication than Linear Programming. It is a key mathematical tool in Portfolio Optimization and structural plasticity. This is useful in Civil Engineering as well as Statistics.
Publisher: CRC Press
ISBN: 1351647202
Category : Business & Economics
Languages : en
Pages : 423
Book Description
Quadratic programming is a mathematical technique that allows for the optimization of a quadratic function in several variables. QP is a subset of Operations Research and is the next higher lever of sophistication than Linear Programming. It is a key mathematical tool in Portfolio Optimization and structural plasticity. This is useful in Civil Engineering as well as Statistics.
Technical Abstract Bulletin
Government-wide Index to Federal Research & Development Reports
Author:
Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 1576
Book Description
Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 1576
Book Description
Report on Research at AFCRL.
Author: Air Force Cambridge Research Laboratories (U.S.)
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 392
Book Description
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 392
Book Description