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Synopsis
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. Readers will find it a useful resource for understanding the principles and properties of Krylov subspace methods and correctly using those methods for solving problems in the future.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l?auteur
He is an associate professor at the department of Applied Physics, Nagoya University, Japan. His research interests include numerical linear algebra, numerical multilinear algebra, and scientific computing. He published over 70 research articles and is best known for extensions of the Conjugate Residual method: the BiCR method and the COCR method for large and sparse linear systems. He serves as an editor of Japan Journal of Industrial and Applied Mathematics, Springer, since 2019. He is a member of the board of directors of Japan SIAM since 2021.
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Krylov Subspace Methods for Linear Systems : Principles of Algorithms
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Krylov Subspace Methods for Linear Systems
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. Readers will find it a useful resource for understanding the principles and properties of Krylov subspace methods and correctly using those methods for solving problems in the future. 240 pp. Englisch. N° de réf. du vendeur 9789811985348
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Krylov Subspace Methods for Linear Systems
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ISBN 10 : 9811985340
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Is the first book to provide details on the COCR, BiCR, and GPBiCG methods to solve non-Hermitian linear systemsDescribes theoretical applications to solve problems such as shifted linear systems and matrix functionsShows practical applicat. N° de réf. du vendeur 1315289636
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Krylov Subspace Methods for Linear Systems : Principles of Algorithms
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Springer, 2024
ISBN 10 : 9811985340
ISBN 13 : 9789811985348
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Vendeur : GreatBookPricesUK, Woodford Green, Royaume-Uni
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Krylov Subspace Methods for Linear Systems | Principles of Algorithms
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Taschenbuch. Etat : Neu. Krylov Subspace Methods for Linear Systems | Principles of Algorithms | Tomohiro Sogabe | Taschenbuch | xiii | Englisch | 2024 | Springer Singapore | EAN 9789811985348 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. N° de réf. du vendeur 128221133
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Krylov Subspace Methods for Linear Systems: Principles of Algorithms (Springer Series in Computational Mathematics)
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