Описание: This book takes in some of the latest mathematical applications derived from Newtonian law. It explains the mechanical method for determining matrix singularity or non-independence of dimension and complexity, and includes new approaches to standard problems.
Автор: Bartholomew-Biggs Michael Название: Nonlinear Optimization with Financial Applications ISBN: 1402081103 ISBN-13(EAN): 9781402081101 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book introduces the key ideas behind practical nonlinear optimization. Computational finance – an increasingly popular area of mathematics degree programs – is combined here with the study of an important class of numerical techniques. The financial content of the book is designed to be relevant and interesting to specialists. However, this material – which occupies about one-third of the text – is also sufficiently accessible to allow the book to be used on optimization courses of a more general nature. The essentials of most currently popular algorithms are described, and their performance is demonstrated on a range of optimization problems arising in financial mathematics. Theoretical convergence properties of methods are stated, and formal proofs are provided in enough cases to be instructive rather than overwhelming. Practical behavior of methods is illustrated by computational examples and discussions of efficiency, accuracy and computational costs. Supporting software for the examples and exercises is available (but the text does not require the reader to use or understand these particular codes). The author has been active in optimization for over thirty years in algorithm development and application and in teaching and research supervision.
Автор: Marius Durea, Radu Strugariu Название: An Introduction to Nonlinear Optimization Theory ISBN: 311042603X ISBN-13(EAN): 9783110426038 Издательство: Walter de Gruyter Рейтинг: Цена: 16727.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The goal of this book is to present the main ideas and techniques in the field of continuous smooth and nonsmooth optimization. Starting with the case of differentiable data and the classical results on constrained optimization problems, and continuing with the topic of nonsmooth objects involved in optimization theory, the book concentrates on both theoretical and practical aspects of this field. This book prepares those who are engaged in research by giving repeated insights into ideas that are subsequently dealt with and illustrated in detail.
Автор: Borwein, Jonathan M. Lewis, Adrian S. (university Of Waterloo) Название: Convex analysis and nonlinear optimization ISBN: 1441921273 ISBN-13(EAN): 9781441921277 Издательство: Springer Рейтинг: Цена: 8378.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Optimization is a rich and thriving mathematical discipline, and the underlying theory of current computational optimization techniques grows ever more sophisticated. This new edition adds material on semismooth optimization, as well as several new proofs.
Описание: 1. Introduction.- 2. Mathematical modeling using algebraically oriented languages for nonlinear optimization.- 3. Introduction to GAMS technology.- 4. Applications of continuous nonlinear optimization.- 5. Optimality conditions for continuous nonlinear optimization.- 6. Simple bound constraint optimization.- 7. Penalty and augmented Langrangian methods.- 8. Penalty-Barrier Algorithm.- 9. Linearly Constrained Augmented Lagrangian.- 10. Quadratic programming.- 11. Sequential quadratic programming.- 12. A SQP Method using only Equalit Constrained Sub-problem.- 12. A Sequential Quadratic Programming Algorithm with Successive Error Restoration.- 14. Active-set Sequential Linear-Quadratic Programming.- 15. A SQP algorithm for Large-Scale Constrained Optimization.- 16. Generalized Reduced Gradient with sequential linearization.- 17. Interior point methods.- 18. Filter methods.- 19. Interior Point Sequential Linear-Quadratic Programming.- 20. Interior Point Filer Line-Search IPOPT.- 21. Numerical studies.
Автор: Gianni Pillo; Massimo Roma Название: Large-Scale Nonlinear Optimization ISBN: 1441940146 ISBN-13(EAN): 9781441940148 Издательство: Springer Рейтинг: Цена: 23058.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book reviews and discusses recent advances in the development of methods and algorithms for nonlinear optimization and its applications, focusing on the large-dimensional case, the current forefront of much research.
Автор: Jesper Christensen Название: Nonlinear Optimization of Vehicle Safety Structures ISBN: 0128044241 ISBN-13(EAN): 9780128044247 Издательство: Elsevier Science Рейтинг: Цена: 18528.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: . Nonlinear Optimization of Vehicle Safety Structures: Modeling of Structures Subjected to Large Deformations provides a cutting-edge overview of the latest optimization methods for vehicle structural design. The book focuses on large deformation structural optimization algorithms and applications, covering the basic principles of modern day topology optimization and comparing the benefits and flaws of different algorithms in use. . The complications of non-linear optimization are highlighted, along with the shortcomings of recently proposed algorithms. Using industry relevant case studies, users will how optimization software can be used to address challenging vehicle safety structure problems and how to explore the limitations of the approaches given. The authors draw on research work with the likes of MIRA, Jaguar Land Rover and Tata Motors European Technology Centre as part of multi-million pound European funded research projects, emphasizing the industry applications of recent advances. The book is intended for crash engineers, restraints system engineers and vehicle dynamics engineers, as well as other mechanical, automotive and aerospace engineers, researchers and students with a structural focus.
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