Iterative Methods and Preconditioners for Systems of Linear Equations is popular PDF and ePub book, written by Gabriele Ciaramella in 2022-02-08, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Iterative Methods and Preconditioners for Systems of Linear Equations can be Read Online from any device for your convenience.
Iterative Methods and Preconditioners for Systems of Linear Equations Book PDF Summary
Iterative methods use successive approximations to obtain more accurate solutions. This book gives an introduction to iterative methods and preconditioning for solving discretized elliptic partial differential equations and optimal control problems governed by the Laplace equation, for which the use of matrix-free procedures is crucial. All methods are explained and analyzed starting from the historical ideas of the inventors, which are often quoted from their seminal works. Iterative Methods and Preconditioners for Systems of Linear Equations grew out of a set of lecture notes that were improved and enriched over time, resulting in a clear focus for the teaching methodology, which 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 who want an overview or deeper understanding of iterative methods. Its focus on both analysis and numerical experiments allows the material to be taught with very little preparation, since all the arguments are self-contained, and makes it appropriate for self-study as well. It can be used in courses on iterative methods, Krylov methods and preconditioners, and numerical optimal control. Scientists and engineers interested in new topics and applications will also find the text useful.
Detail Book of Iterative Methods and Preconditioners for Systems of Linear Equations PDF
- Author : Gabriele Ciaramella
- Release : 08 February 2022
- Publisher : SIAM
- ISBN : 9781611976908
- Genre : Mathematics
- Total Page : 285 pages
- Language : English
- PDF File Size : 21,6 Mb
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