Advances in Iterative Methods for Nonlinear Equations, Amat Sergio, Busquier Sonia
Автор: Amat Название: Advances in Iterative Methods for Nonlinear Equations ISBN: 3319392271 ISBN-13(EAN): 9783319392271 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book focuses on the approximation of nonlinear equations using iterative methods. Nine contributions are presented on the construction and analysis of these methods, the coverage encompassing convergence, efficiency, robustness, dynamics, and applications. Many problems are stated in the form of nonlinear equations, using mathematical modeling. In particular, a wide range of problems in Applied Mathematics and in Engineering can be solved by finding the solutions to these equations. The book reveals the importance of studying convergence aspects in iterative methods and shows that selection of the most efficient and robust iterative method for a given problem is crucial to guaranteeing a good approximation. A number of sample criteria for selecting the optimal method are presented, including those regarding the order of convergence, the computational cost, and the stability, including the dynamics. This book will appeal to researchers whose field of interest is related to nonlinear problems and equations, and their approximation.
Автор: R. Ansorge; T. Meis; W. T?rnig Название: Iterative Solution of Nonlinear Systems of Equations ISBN: 3540116028 ISBN-13(EAN): 9783540116028 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Haiyun Zhou Название: Fixed Points of Nonlinear Operators: Iterative Methods ISBN: 311066397X ISBN-13(EAN): 9783110663976 Издательство: Walter de Gruyter Цена: 16169.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Iterative Methods for Fixed Points of Nonlinear Operators offers an introduction into iterative methods of fixed points for nonexpansive mappings, pseudo-contrations in Hilbert Spaces and in Banach Spaces. Iterative methods of zeros for accretive mappings in Banach Spaces and monotone mappings in Hilbert Spaces are also discussed. It is an essential work for mathematicians and graduate students in nonlinear analysis.
Автор: Haiyun Zhou, Xiaolong Qin Название: Fixed Points of Nonlinear Operators: Iterative Methods ISBN: 3110664011 ISBN-13(EAN): 9783110664010 Издательство: Walter de Gruyter Рейтинг: Цена: 161781.00 р. Наличие на складе: Нет в наличии.
Описание:
Iterative Methods for Fixed Points of Nonlinear Operators offers an introduction into iterative methods of fixed points for nonexpansive mappings, pseudo-contrations in Hilbert Spaces and in Banach Spaces. Iterative methods of zeros for accretive mappings in Banach Spaces and monotone mappings in Hilbert Spaces are also discussed. It is an essential work for mathematicians and graduate students in nonlinear analysis.
Автор: Gene Golub; Anne Greenbaum; Mitchell Luskin Название: Recent Advances in Iterative Methods ISBN: 1461393558 ISBN-13(EAN): 9781461393559 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This IMA Volume in Mathematics and its Applications RECENT ADVANCES IN ITERATIVE METHODS is based on the proceedings of a workshop that was an integral part of the 1991-92 IMA program on "Applied Linear Algebra.
Автор: Wolfgang Hackbusch Название: Iterative Solution of Large Sparse Systems of Equations ISBN: 1461287243 ISBN-13(EAN): 9781461287247 Издательство: Springer Рейтинг: Цена: 12577.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Hackbusch Wolfgang Название: Iterative Solution of Large Sparse Systems of Equations ISBN: 3319803603 ISBN-13(EAN): 9783319803609 Издательство: Springer Рейтинг: Цена: 23757.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Part I: Linear Iterations.- Introduction.- Iterative Methods.- Classical Linear Iterations in the Positive Definite Case.- Analysis of Classical Iterations Under Special Structural Conditions.- Algebra of Linear Iterations.- Analysis of Positive Definite Iterations.- Generation of Iterations. Part II: Semi-Iterations and Krylov Methods.- Semi-Iterative Methods.- Gradient Methods.- Conjugate Gradient Methods and Generalizations.- Part III: Special Iterations.- Multigrid Iterations.- Domain Decomposition and Subspace Methods.- H-LU Iteration.- Tensor-based Methods.- Appendices.
Автор: Hackbusch Название: Iterative Solution of Large Sparse Systems of Equations ISBN: 3319284819 ISBN-13(EAN): 9783319284811 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
In the second edition of this classic monograph, complete with four new chapters and updated references, readers will now have access to content describing and analysing classical and modern methods with emphasis on the algebraic structure of linear iteration, which is usually ignored in other literature.
The necessary amount of work increases dramatically with the size of systems, so one has to search for algorithms that most efficiently and accurately solve systems of, e.g., several million equations. The choice of algorithms depends on the special properties the matrices in practice have. An important class of large systems arises from the discretization of partial differential equations. In this case, the matrices are sparse (i.e., they contain mostly zeroes) and well-suited to iterative algorithms.
The first edition of this book grew out of a series of lectures given by the author at the Christian-Albrecht University of Kiel to students of mathematics. The second edition includes quite novel approaches.
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