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Krylov Subspace Methods for Linear Systems
Af: Tomohiro Sogabe Engelsk Hardback
SPAR
kr 320
Krylov Subspace Methods for Linear Systems
Af: Tomohiro Sogabe Engelsk Hardback

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.

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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.

Produktdetaljer
Sprog: Engelsk
Sider: 225
ISBN-13: 9789811985317
Indbinding: Hardback
Udgave:
ISBN-10: 9811985316
Kategori: Numerisk analyse
Udg. Dato: 21 jan 2023
Længde: 0mm
Bredde: 235mm
Højde: 155mm
Oplagsdato: 21 jan 2023
Forfatter(e): Tomohiro Sogabe
Forfatter(e) Tomohiro Sogabe


Kategori Numerisk analyse


Sprog Engelsk


Indbinding Hardback


Sider 225


Udgave


Længde 0mm


Bredde 235mm


Højde 155mm


Udg. Dato 21 jan 2023


Oplagsdato 21 jan 2023

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