Solving nonlinear equations with iterative methods, Kelley, C. T.
Автор: Saad, Yousef Название: Iterative Methods for Sparse Linear Systems, 2 ed. ISBN: 0898715342 ISBN-13(EAN): 9780898715347 Издательство: Wiley Рейтинг: Цена: 27034.00 р. Наличие на складе: Есть (1 шт.) Описание: This second edition gives an in-depth, up-to-date view of practical algorithms for solving large-scale linear systems of equations.
Описание: Iterative methods use successive approximations to obtain more accurate solutions. Iterative Methods and Preconditioners for Systems of Linear Equationspresents historical background,derives complete convergence estimates for all methods, illustrates and provides Matlab codes for all methods, and studies and tests all preconditioners first as stationary iterative solvers.This textbook is appropriate for undergraduate and graduate students in need of an overview or of deeper knowledge about iterative methods. It can be used in courses on Advanced Numerical Analysis, Special Topics on Numerical Analysis, Topics on Data Science, Topics on Numerical Optimization, and Topics on Approximation Theory. Scientists and engineers interested in new topics and applications will also find the text useful.
Описание: This book introduces iterative learning control (ILC) and its applications to the new equations such as fractional order equations, impulsive equations, delay equations, and multi-agent systems, which have not been presented in other books on conventional fields.
Автор: Hackbusch Название: Iterative Solution of Large Sparse Systems of Equations ISBN: 3319284819 ISBN-13(EAN): 9783319284811 Издательство: Springer Рейтинг: Цена: 15855.00 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.
Автор: Wai K. Ching Название: Iterative Methods for Queuing and Manufacturing Systems ISBN: 1849968705 ISBN-13(EAN): 9781849968706 Издательство: Springer Рейтинг: Цена: 10366.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: An introduction to the recent advances and developments in iterative methods for solving Markovian queuing and manufacturing problems. With numerous exercises and fully-worked examples, this book is essential reading for anyone interested in the formulation and computation of queuing and manufacturing systems.
Автор: Magrenan, A. Alberto Название: A Contemporary Study of Iterative Methods ISBN: 0128092149 ISBN-13(EAN): 9780128092149 Издательство: Elsevier Science Рейтинг: Цена: 13298.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
A Contemporary Study of Iterative Methods: Convergence, Dynamics and Applications evaluates and compares advances in iterative techniques, also discussing their numerous applications in applied mathematics, engineering, mathematical economics, mathematical biology and other applied sciences. It uses the popular iteration technique in generating the approximate solutions of complex nonlinear equations that is suitable for aiding in the solution of advanced problems in engineering, mathematical economics, mathematical biology and other applied sciences. Iteration methods are also applied for solving optimization problems. In such cases, the iteration sequences converge to an optimal solution of the problem at hand.
Contains recent results on the convergence analysis of numerical algorithms in both finite-dimensional and infinite-dimensional spaces
Encompasses the novel tool of dynamic analysis for iterative methods, including new developments in Smale stability theory and polynomiography
Explores the uses of computation of iterative methods across non-linear analysis
Uniquely places discussion of derivative-free methods in context of other discoveries, aiding comparison and contrast between options
Автор: Lau Название: Iterative Methods in Combinatorial Optimization ISBN: 1107007518 ISBN-13(EAN): 9781107007512 Издательство: Cambridge Academ Рейтинг: Цена: 12830.00 р. 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.
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.
Автор: Gene Golub; Anne Greenbaum; Mitchell Luskin Название: Recent Advances in Iterative Methods ISBN: 1461393558 ISBN-13(EAN): 9781461393559 Издательство: Springer Рейтинг: Цена: 14635.00 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: Byrne, Charles L. Название: Applied Iterative Methods ISBN: 0367446162 ISBN-13(EAN): 9780367446161 Издательство: Taylor&Francis Рейтинг: Цена: 10411.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is a collection of essays on iterative algorithms and their uses. It focuses on the mathematics of medical image reconstruction, with emphasis on Fourier inversion. The book discusses the problems and algorithms in the context of operators on finite-dimensional Euclidean space.
Автор: David H. Owens Название: Iterative Learning Control ISBN: 1447167708 ISBN-13(EAN): 9781447167709 Издательство: Springer Рейтинг: Цена: 17097.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book develops a coherent and quite general theoretical approach to algorithm design for iterative learning control based on the use of operator representations and quadratic optimization concepts including the related ideas of inverse model control and gradient-based design.
Using detailed examples taken from linear, discrete and continuous-time systems, the author gives the reader access to theories based on either signal or parameter optimization. Although the two approaches are shown to be related in a formal mathematical sense, the text presents them separately as their relevant algorithm design issues are distinct and give rise to different performance capabilities.
Together with algorithm design, the text demonstrates the underlying robustness of the paradigm and also includes new control laws that are capable of incorporating input and output constraints, enable the algorithm to reconfigure systematically in order to meet the requirements of different reference and auxiliary signals and also to support new properties such as spectral annihilation.
Iterative Learning Control will interest academics and graduate students working in control who will find it a useful reference to the current status of a powerful and increasingly popular method of control. The depth of background theory and links to practical systems will be of use to engineers responsible for precision repetitive processes.
Автор: Miroslav Rozlo?n?k Название: Saddle-Point Problems and Their Iterative Solution ISBN: 3030014304 ISBN-13(EAN): 9783030014308 Издательство: Springer Рейтинг: Цена: 4877.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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