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Saddle-Point Problems and Their Iterative Solution, Miroslav Rozlo?n?k


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Автор: Miroslav Rozlo?n?k
Название:  Saddle-Point Problems and Their Iterative Solution
ISBN: 9783030014308
Издательство: Springer
Классификация:

ISBN-10: 3030014304
Обложка/Формат: Soft cover
Страницы: 136
Вес: 0.24 кг.
Дата издания: 2018
Серия: Ne?as Center Series
Язык: English
Издание: 1st ed. 2018
Иллюстрации: 12 illustrations, color; 25 illustrations, black and white; xiv, 136 p. 37 illus., 12 illus. in color.
Размер: 234 x 156 x 8
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book provides essential lecture notes on solving large linear saddle-point systems, which arise in a wide range of applications and often pose computational challenges in science and engineering. The focus is on discussing the particular properties of such linear systems, and a large selection of algebraic methods for solving them, with an emphasis on iterative methods and preconditioning. The theoretical results presented here are complemented by a case study on potential fluid flow problem in a real world-application. This book is mainly intended for students of applied mathematics and scientific computing, but also of interest for researchers and engineers working on various applications. It is assumed that the reader has completed a basic course on linear algebra and numerical mathematics.
Дополнительное описание:
Introductory remarks. Formulation of saddle-point problem.- Applications leading to saddle-point problems. Augmented systems in least squares problems. Saddle point problems from the discretization of partial differential equations with constraints.



Iterative Solution of Large Sparse Systems of Equations

Автор: Hackbusch
Название: Iterative Solution of Large Sparse Systems of Equations
ISBN: 3319284819 ISBN-13(EAN): 9783319284811
Издательство: Springer
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Цена: 15855.00 р.
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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.
Matrix Iterative Analysis

Автор: Richard S Varga
Название: Matrix Iterative Analysis
ISBN: 3642051545 ISBN-13(EAN): 9783642051548
Издательство: Springer
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Цена: 20123.00 р.
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Описание: This book is a revised version of the first edition, regarded as a classic in its field. In some places, newer research results have been incorporated in the revision, and in other places, new material has been added

Advances in Iterative Methods for Nonlinear Equations

Автор: Amat
Название: Advances in Iterative Methods for Nonlinear Equations
ISBN: 3319392271 ISBN-13(EAN): 9783319392271
Издательство: Springer
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Цена: 11586.00 р.
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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.

Fixed Points of Nonlinear Operators: Iterative Methods

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.
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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.

Iterative Learning Stabilization and Fault-Tolerant Control for Batch Processes

Автор: Limin Wang; Ridong Zhang; Furong Gao
Название: Iterative Learning Stabilization and Fault-Tolerant Control for Batch Processes
ISBN: 9811357897 ISBN-13(EAN): 9789811357893
Издательство: Springer
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Цена: 12196.00 р.
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Описание: This book is based on the authors` research on the stabilization and fault-tolerant control of batch processes, which are flourishing topics in the field of control system engineering.

Discretization Methods and Iterative Solvers Based on Domain Decomposition

Автор: Barbara I. Wohlmuth
Название: Discretization Methods and Iterative Solvers Based on Domain Decomposition
ISBN: 354041083X ISBN-13(EAN): 9783540410836
Издательство: Springer
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Цена: 12196.00 р.
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Описание: Domain decomposition methods provide powerful and flexible tools for the numerical approximation of partial differential equations arising in the modeling of many interesting applications in science and engineering.

Developments and Applications of Block Toeplitz Iterative Solvers

Автор: Xiao-Qing Jin
Название: Developments and Applications of Block Toeplitz Iterative Solvers
ISBN: 9048161061 ISBN-13(EAN): 9789048161065
Издательство: Springer
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Цена: 12196.00 р.
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Описание: Toeplitz systems arise in a variety of applications in mathematics, scientific computing, and engineering, such as image processing, numerical differential equations and integral equations, time series analysis, and control theory. This title contains the advanced developments in the use of iterative methods to block Toeplitz systems.

Advances in Iterative Methods for Nonlinear Equations

Автор: Amat Sergio, Busquier Sonia
Название: Advances in Iterative Methods for Nonlinear Equations
ISBN: 3319818457 ISBN-13(EAN): 9783319818450
Издательство: Springer
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Цена: 6097.00 р.
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Описание: This book focuses on the approximation of nonlinear equations using iterative methods. 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.

Operators and Iterative Processes of Fejйr Type

Автор: Vasin Vladimir V., Eremin Ivan I.
Название: Operators and Iterative Processes of Fejйr Type
ISBN: 3110218186 ISBN-13(EAN): 9783110218183
Издательство: Walter de Gruyter
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Цена: 69890.00 р.
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Описание: The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.


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