Tomohiro Sogabe
Krylov Subspace Methods for Linear Systems: Principles of Algorithms
Krylov Subspace Methods for Linear Systems: Principles of Algorithms
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Excellent- More about Krylov Subspace Methods for Linear Systems: Principles of Algorithms
Krylov subspace methods are a powerful set of tools for solving linear systems, and this book provides a comprehensive and unified explanation of their theoretical aspects and practical applications. It is suitable for senior undergraduates, postgraduates, and researchers in mathematics, engineering, and computational science, and will be a valuable resource for understanding and using these methods.
Format: Hardback
Length: 225 pages
Publication date: 21 January 2023
Publisher: Springer Verlag, Singapore
This comprehensive book delves into the realm of Krylov subspace methods, renowned as one of the top 10 algorithms of the twentieth century, alongside esteemed counterparts like the Fast Fourier Transform and Quick Sort (SIAM News, 2000). It offers a concise and unified explanation of the theoretical aspects of Krylov subspace methods, which were developed during the twentieth century. Furthermore, the book provides detailed descriptions of various Krylov subspace methods that emerged in the twenty-first century, such as the COCR method for complex symmetric linear systems, the BiCR method, and the IDR(s) method for non-Hermitian linear systems.
The book's greatest strength lies not only in elucidating the principles of Krylov subspace methods but also in showcasing their diverse applications. From a theoretical perspective, it explores shifted linear systems and matrix functions, while from a practical standpoint, it addresses partial differential equations, computational physics, computational particle physics, optimizations, and machine learning. This self-contained nature of the book makes it suitable for senior undergraduates, postgraduates, and researchers in mathematics, engineering, and computational science. Readers will find it an invaluable resource for gaining a deep understanding of the principles and properties of Krylov subspace methods and applying them effectively to solve future problems.
Weight: 530g
Dimension: 235 x 155 (mm)
ISBN-13: 9789811985317
Edition number: 1st ed. 2022
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