An Implementation of a Projected Hessian Updating Algorithm for Nonlinearly Constrained Optimization PDF Download
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Author: Randall Jay Thomas
Publisher:
ISBN:
Category :
Languages : en
Pages : 52
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Author: Randall Jay Thomas
Publisher:
ISBN:
Category :
Languages : en
Pages : 52
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Author: Jorge Nocedal
Publisher: Forgotten Books
ISBN: 9780267958962
Category : Mathematics
Languages : en
Pages : 76
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Book Description
Excerpt from Projected Hessian Updating Algorithms for Nonlinearly Constrained Optimization Hessian, a symmetric matrix of order n - m.which can be expected to be_3_ positive definite near a solution This idea was suggested by Murray and Wright (1978) and has also been discussed by several other authors. We present several variants of this algorithm and prove that under certain conditions they all have a local two-step O - superlinear convergence property. Finally, in Section 5 we present some numerical results which indicate that these methods may be very useful in practice. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author: Courant Institute of Mathematical Sciences. Computer Science Department
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Author: Courant Institute of Mathematical Sciences. Computer Science Department
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Jorge Nocedal
Publisher: Nabu Press
ISBN: 9781293722893
Category :
Languages : en
Pages : 72
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Book Description
This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.
Author: Stanford University. Systems Optimization Laboratory
Publisher:
ISBN:
Category :
Languages : en
Pages : 48
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Author: Michael Thomas Heath
Publisher:
ISBN:
Category : Algorithms
Languages : en
Pages : 312
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This dissertation is concerned with the development and numerical implementation of algorithms for solving finite dimensional optimization problems. Special emphasis is given to robustness, by which is meant the ability of an algorithm to cope with adverse circumstances, whether due to pathologies of a particular problem or to the shortcomings of finite precision computer arithmetic. A uniform framework is developed in which a common set of techniques may be applied to all of the standard problems of optimization. The algorithms are based on Newton-like methods implemented in a robust manner by means of hybrid, curved line searches and stable linear algebra techniques. Developed first in the context of systems of nonlinear equations, nonlinear least squares, and unconstrained minimization, the algorithms are combined and extended to include problems with equality or inequality constraints. Constrained problems are handled by means of separate line searches in the range and null spaces of the matrix of constraint normals. The classical Lagrangian is modified to allow the same Newton-like methods to be applied to inequality constraints. Test results are presented which show the validity and promise of the methods developed in this dissertation. (Author).
Author: Philip E. Gill
Publisher:
ISBN:
Category : Mathematical optimization
Languages : en
Pages : 34
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Several methods for nonlinearly constrained optimization have been suggested in recent years that are based on solving a quadratic programming (QP) subproblem to determine the direction of search. Even for dense problems, there is no consensus at present concerning the 'best' formulation of the QP subproblem. When solving large problems, many of the options possible for small problems become unreasonably expensive in terms of storage and/or arithmetic operations. This paper discusses the inherent difficulties of developing QP-based methods for large-scale nonlinearly constrained optimization, and suggests some possible approaches. (Author).
Author: Wade H. Shafer
Publisher: Springer Science & Business Media
ISBN: 1461534747
Category : Science
Languages : en
Pages : 421
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Book Description
Masters Theses in the Pure and Applied Sciences was first conceived, published, and disseminated by the Center for Information and Numerical Data Analysis and Synthesis (CINDAS) * at Purdue University in 1957, starting its coverage of theses with the academic year 1955. Beginning with Volume 13, the printing and dissemination phases of the activity were transferred to University Microfilms/Xerox of Ann Arbor, Michigan, with the thought that such an arrangement would be more beneficial to the academic and general scientific and technical community. After five years of this joint undertaking we had concluded that it was in the interest of all con cerned if the printing and distribution of the volumes were handled by an interna tional publishing house to assure improved service and broader dissemination. Hence, starting with Volume 18, Masters Theses in the Pure and Applied Sciences has been disseminated on a worldwide basis by Plenum Publishing Cor poration of New York, and in the same year the coverage was broadened to include Canadian universities. All back issues can also be ordered from Plenum. We have reported in Volume 34 (thesis year 1989) a total of 13,377 theses titles from 26 Canadian and 184 United States universities. We are sure that this broader base for these titles reported will greatly enhance the value of this important annual reference work. While Volume 34 reports theses submitted in 1989, on occasion, certain univer sities do report theses submitted in previous years but not reported at the time.
Author: Michael Bartholomew-Biggs
Publisher: Springer Science & Business Media
ISBN: 0387241493
Category : Mathematics
Languages : en
Pages : 276
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Book Description
This instructive book introduces the key ideas behind practical nonlinear optimization, accompanied by computational examples and supporting software. It combines computational finance with an important class of numerical techniques.
