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Krylov Subspace Methods for Linear Systems : Principles of Algorithms by Tomohiro Sogabe is a nonfiction available to read on EtoBox.

What is Krylov Subspace Methods for Linear Systems : Principles of Algorithms about?

'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. Read

Who reads Krylov Subspace Methods for Linear Systems : Principles of Algorithms?

Author

Tomohiro Sogabe

Publisher

Springer Nature Singapore Pte Ltd Fka Springer Science + Business Media Singapore Pte Ltd

Published

2022

Language

EN

ISBN

9789811985324

Category

nonfiction

Subjects

Mathematics, Computer Science, Programming