Iterative Methods for Sparse Linear Systems, 2 ed., Saad, Yousef
Автор: Hackbusch Название: Iterative Solution of Large Sparse Systems of Equations ISBN: 3319284819 ISBN-13(EAN): 9783319284811 Издательство: Springer Рейтинг: Цена: 121110.00 T 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.
Автор: Lau Название: Iterative Methods in Combinatorial Optimization ISBN: 1107007518 ISBN-13(EAN): 9781107007512 Издательство: Cambridge Academ Рейтинг: Цена: 85530.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book describes a simple and powerful method that is iterative in essence and similarly useful in a variety of settings for exact and approximate optimization. The authors highlight the commonality and uses of this method to prove a variety of classical polyhedral results on matchings, trees, matroids and flows.
Автор: Duff I. S Название: Direct Methods for Sparse Matrices ISBN: 0198508387 ISBN-13(EAN): 9780198508380 Издательство: Oxford Academ Рейтинг: Цена: 90810.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The subject of sparse matrices has its root in such diverse fields as management science, power systems analysis, surveying, circuit theory, and structural analysis. Efficient use of sparsity is a key to solving large problems in many fields. This book provides both insight and answers for those attempting to solve these problems.
Автор: A.B. Bakushinsky; M.Yu. Kokurin Название: Iterative Methods for Approximate Solution of Inverse Problems ISBN: 9048167981 ISBN-13(EAN): 9789048167982 Издательство: Springer Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Amat Название: Advances in Iterative Methods for Nonlinear Equations ISBN: 3319392271 ISBN-13(EAN): 9783319392271 Издательство: Springer Рейтинг: Цена: 88500.00 T 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.
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