| 书目名称 | Krylov Methods for Nonsymmetric Linear Systems |
| 副标题 | From Theory to Compu |
| 编辑 | Gérard Meurant,Jurjen Duintjer Tebbens |
| 视频video | |
| 概述 | Contains an overview of state-of-the-art Krylov subspace methods including new theoretical convergence results.Emphasis is placed on the construction of examples with prescribed convergence histories |
| 丛书名称 | Springer Series in Computational Mathematics |
| 图书封面 |  |
| 描述 | This book aims to give an encyclopedic overview of the state-of-the-art of Krylov subspace iterative methods for solving nonsymmetric systems of algebraic linear equations and to study their mathematical properties. Solving systems of algebraic linear equations is among the most frequent problems in scientific computing; it is used in many disciplines such as physics, engineering, chemistry, biology, and several others. Krylov methods have progressively emerged as the iterative methods with the highest efficiency while being very robust for solving large linear systems; they may be expected to remain so, independent of progress in modern computer-related fields such as parallel and high performance computing. The mathematical properties of the methods are described and analyzed along with their behavior in finite precision arithmetic. A number of numerical examples demonstrate the properties and the behavior of the described methods. Also considered are the methods’ implementations and coding as Matlab®-like functions. Methods which became popular recently are considered in the general framework of Q-OR (quasi-orthogonal )/Q-MR (quasi-minimum) residual methods..This book can be us |
| 出版日期 | Book 2020 |
| 关键词 | Krylov methods; nonsymmetrical linear systems; Q-OR methods; Q-MR methods; Krylov subspaces; FOM; GMRES; He |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-55251-0 |
| isbn_softcover | 978-3-030-55253-4 |
| isbn_ebook | 978-3-030-55251-0Series ISSN 0179-3632 Series E-ISSN 2198-3712 |
| issn_series | 0179-3632 |
| copyright | Springer Nature Switzerland AG 2020 |
发表于 2025-3-21 17:40:58
