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Author: Amina Zerari
Publisher:
ISBN:
Category :
Languages : fr
Pages : 0
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Book Description
Les méthodes de points intérieurs sont bien connues comme les plus efficaces pour résoudre les problèmes d'optimisation. Ces méthodes possèdent une convergence polynômiale et un bon comportement numérique. Dans cette recherche, nous nous sommes intéressés à une étude théorique, algorithmique et numérique des méthodes de points intérieurs pour la programmation semi-définie.En effet, on présente dans une première partie un algorithme réalisable projectif primal-dual de points intérieurs de type polynômial à deux phases, où on a introduit trois nouvelles alternatives efficaces pour calculer le pas de déplacement.Ensuite, dans la deuxième partie, on s'intéresse aux méthodes de type trajectoire centrale primale-duale via une fonction noyau, nous proposons deux nouvelles fonctions noyaux à terme logarithmique qui donnent la meilleure complexité algorithmique, obtenue jusqu'à présent.
Author: Amina Zerari
Publisher:
ISBN:
Category :
Languages : fr
Pages : 0
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Book Description
Les méthodes de points intérieurs sont bien connues comme les plus efficaces pour résoudre les problèmes d'optimisation. Ces méthodes possèdent une convergence polynômiale et un bon comportement numérique. Dans cette recherche, nous nous sommes intéressés à une étude théorique, algorithmique et numérique des méthodes de points intérieurs pour la programmation semi-définie.En effet, on présente dans une première partie un algorithme réalisable projectif primal-dual de points intérieurs de type polynômial à deux phases, où on a introduit trois nouvelles alternatives efficaces pour calculer le pas de déplacement.Ensuite, dans la deuxième partie, on s'intéresse aux méthodes de type trajectoire centrale primale-duale via une fonction noyau, nous proposons deux nouvelles fonctions noyaux à terme logarithmique qui donnent la meilleure complexité algorithmique, obtenue jusqu'à présent.
Author: Olivier Epelly
Publisher:
ISBN:
Category :
Languages : en
Pages : 186
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Book Description
Ce travail décrit NLPHOPDM, un nouvel algorithme pour l'optimisation convexe différentiable. Par rapport aux méthodes intérieures classiques, il raffine les correcteurs multiples de centralité et perturbe les contraintes d'admissibilité dans la méthode de Newton. Son efficacité est évaluée sur des problèmes économiques et d'ingéniérie où la minimisation d'une fonction sous contraintes (surplus, énergie potentielle) caractérise un équilibre. Concernant les conséquences du protocole de Kyoto sur le marché énergétique, qui sont modélisées par un problème non linéaire de plusieurs milliers de variables, NLPHOPDM calcule un équilibre entre 2 et 400 fois plus rapidement que les algorithmes de référence. Concernant la déformation d'un milieu continu élastique soumis à des forces externes, dont la discrétisation en éléments finis conduit à des problèmes avec plusieurs dizaines de milliers de contraintes quadratiques, NLPHOPDM trouve un design optimal en 2 à 15 fois moins d'itérations que les méthodes intérieures de référence pour les problèmes considérés.
Author: Saburou Saitoh
Publisher: Springer
ISBN: 9789811005299
Category : Mathematics
Languages : en
Pages : 0
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Book Description
This book provides a large extension of the general theory of reproducing kernels published by N. Aronszajn in 1950, with many concrete applications.In Chapter 1, many concrete reproducing kernels are first introduced with detailed information. Chapter 2 presents a general and global theory of reproducing kernels with basic applications in a self-contained way. Many fundamental operations among reproducing kernel Hilbert spaces are dealt with. Chapter 2 is the heart of this book.Chapter 3 is devoted to the Tikhonov regularization using the theory of reproducing kernels with applications to numerical and practical solutions of bounded linear operator equations.In Chapter 4, the numerical real inversion formulas of the Laplace transform are presented by applying the Tikhonov regularization, where the reproducing kernels play a key role in the results.Chapter 5 deals with ordinary differential equations; Chapter 6 includes many concrete results for various fundamental partial differential equations. In Chapter 7, typical integral equations are presented with discretization methods. These chapters are applications of the general theories of Chapter 3 with the purpose of practical and numerical constructions of the solutions.In Chapter 8, hot topics on reproducing kernels are presented; namely, norm inequalities, convolution inequalities, inversion of an arbitrary matrix, representations of inverse mappings, identifications of nonlinear systems, sampling theory, statistical learning theory and membership problems. Relationships among eigen-functions, initial value problems for linear partial differential equations, and reproducing kernels are also presented. Further, new fundamental results on generalized reproducing kernels, generalized delta functions, generalized reproducing kernel Hilbert spaces, andas well, a general integral transform theory are introduced.In three Appendices, the deep theory of Akira Yamada discussing the equality problems in nonlinear norm inequalities, Yamada's unified and generalized inequalities for Opial's inequalities and the concrete and explicit integral representation of the implicit functions are presented.
Author: Stephen J. Wright
Publisher: SIAM
ISBN: 9781611971453
Category : Interior-point methods
Languages : en
Pages : 309
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Book Description
In the past decade, primal-dual algorithms have emerged as the most important and useful algorithms from the interior-point class. This book presents the major primal-dual algorithms for linear programming in straightforward terms. A thorough description of the theoretical properties of these methods is given, as are a discussion of practical and computational aspects and a summary of current software. This is an excellent, timely, and well-written work. The major primal-dual algorithms covered in this book are path-following algorithms (short- and long-step, predictor-corrector), potential-reduction algorithms, and infeasible-interior-point algorithms. A unified treatment of superlinear convergence, finite termination, and detection of infeasible problems is presented. Issues relevant to practical implementation are also discussed, including sparse linear algebra and a complete specification of Mehrotra's predictor-corrector algorithm. Also treated are extensions of primal-dual algorithms to more general problems such as monotone complementarity, semidefinite programming, and general convex programming problems.
Author: Ravindra V. Jategaonkar
Publisher: AIAA (American Institute of Aeronautics & Astronautics)
ISBN:
Category : Science
Languages : en
Pages : 568
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Book Description
This valuable volume offers a systematic approach to flight vehicle system identification and exhaustively covers the time domain methodology. It addresses in detail the theoretical and practical aspects of various parameter estimation methods, including those in the stochastic framework and focusing on nonlinear models, cost functions, optimization methods, and residual analysis. A pragmatic and balanced account of pros and cons in each case is provided. The book also presents data gathering and model validation, and covers both large-scale systems and high-fidelity modeling. Real world problems dealing with a variety of flight vehicle applications are addressed and solutions are provided. Examples encompass such problems as estimation of aerodynamics, stability, and control derivatives from flight data, flight path reconstruction, nonlinearities in control surface effectiveness, stall hysteresis, unstable aircraft, and other critical considerations.
Author: Georg Ch. Pflug
Publisher: Springer
ISBN: 3319088432
Category : Business & Economics
Languages : en
Pages : 309
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Book Description
Multistage stochastic optimization problems appear in many ways in finance, insurance, energy production and trading, logistics and transportation, among other areas. They describe decision situations under uncertainty and with a longer planning horizon. This book contains a comprehensive treatment of today’s state of the art in multistage stochastic optimization. It covers the mathematical backgrounds of approximation theory as well as numerous practical algorithms and examples for the generation and handling of scenario trees. A special emphasis is put on estimation and bounding of the modeling error using novel distance concepts, on time consistency and the role of model ambiguity in the decision process. An extensive treatment of examples from electricity production, asset liability management and inventory control concludes the book.
Author: Krishnanand N. Kaipa
Publisher: Springer
ISBN: 3319515950
Category : Technology & Engineering
Languages : en
Pages : 265
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Book Description
This book provides a comprehensive account of the glowworm swarm optimization (GSO) algorithm, including details of the underlying ideas, theoretical foundations, algorithm development, various applications, and MATLAB programs for the basic GSO algorithm. It also discusses several research problems at different levels of sophistication that can be attempted by interested researchers. The generality of the GSO algorithm is evident in its application to diverse problems ranging from optimization to robotics. Examples include computation of multiple optima, annual crop planning, cooperative exploration, distributed search, multiple source localization, contaminant boundary mapping, wireless sensor networks, clustering, knapsack, numerical integration, solving fixed point equations, solving systems of nonlinear equations, and engineering design optimization. The book is a valuable resource for researchers as well as graduate and undergraduate students in the area of swarm intelligence and computational intelligence and working on these topics.
Author: M.A. Rao
Publisher: CRC Press
ISBN: 1420028804
Category : Technology & Engineering
Languages : en
Pages : 762
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Book Description
Ten years have passed since this reference's last edition - making Engineering Properties of Foods, Third Edition the must-have resource for those interested in food properties and their variations. Defined are food properties and the necessary theoretical background for each. Also evaluated is the usefulness of each property i
Author: Ahmed Belasri
Publisher: Springer Nature
ISBN: 9811554447
Category : Technology & Engineering
Languages : en
Pages : 659
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Book Description
This book highlights peer reviewed articles from the 1st International Conference on Renewable Energy and Energy Conversion, ICREEC 2019, held at Oran in Algeria. It presents recent advances, brings together researchers and professionals in the area and presents a platform to exchange ideas and establish opportunities for a sustainable future. Topics covered in this proceedings, but not limited to, are photovoltaic systems, bioenergy, laser and plasma technology, fluid and flow for energy, software for energy and impact of energy on the environment.
Author: North Atlantic Treaty Organization. Advisory Group for Aerospace Research and Development. Structures and Materials Panel. Meeting
Publisher:
ISBN: 9789283600374
Category : Airplanes
Languages : en
Pages : 190
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Book Description
