| 书目名称 | Krylov Subspace Methods for Linear Systems | | 副标题 | Principles of Algori | | 编辑 | Tomohiro Sogabe | | 视频video | http://file.papertrans.cn/541/540760/540760.mp4 | | 概述 | Is the first book to provide details on the COCR, BiCR, and GPBiCG methods to solve non-Hermitian linear systems.Describes theoretical applications to solve problems such as shifted linear systems and | | 丛书名称 | Springer Series in Computational Mathematics | | 图书封面 |  | | 描述 | .This book focuses on Krylov subspace methods for solving linear systems, which are known as one of the top 10 algorithms in the twentieth century, such as Fast Fourier Transform and Quick Sort (SIAM News, 2000). Theoretical aspects of Krylov subspace methods developed in the twentieth century are explained and derived in a concise and unified way. Furthermore, some Krylov subspace methods in the twenty-first century are described in detail, such as the COCR method for complex symmetric linear systems, the BiCR method, and the IDR(s) method for non-Hermitian linear systems...The strength of the book is not only in describing principles of Krylov subspace methods but in providing a variety of applications: shifted linear systems and matrix functions from the theoretical point of view, as well as partial differential equations, computational physics, computational particle physics, optimizations, and machine learning from a practical point of view...The book is self-contained in that basic necessary concepts of numerical linear algebra are explained, making it suitable for senior undergraduates, postgraduates, and researchers in mathematics, engineering, and computational science. Re | | 出版日期 | Book 2022 | | 关键词 | Linear Systems; Krylov Subspace methods; Preconditioners; Shifted Linear Systems; Matrix Functions | | 版次 | 1 | | doi | https://doi.org/10.1007/978-981-19-8532-4 | | isbn_softcover | 978-981-19-8534-8 | | isbn_ebook | 978-981-19-8532-4Series ISSN 0179-3632 Series E-ISSN 2198-3712 | | issn_series | 0179-3632 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |
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