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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Krylov Methods for Nonsymmetric Linear Systems: From Theory to Computations

Krylov Methods for Nonsymmetric Linear Systems: From Theory to Computations

Meurant, Gérard
Duintjer Tebbens, Jurjen

Hardcover

Series: Springer Computational Mathematics, Book 57

General Mathematics

ISBN10: 3030552500
ISBN13: 9783030552503
Publisher: Springer
Published: Oct 2 2020
Pages: 686
Weight: 2.54
Height: 1.50 Width: 6.14 Depth: 9.21
Language: English
This book aims to give an encyclopedic overview of the state-of-the-art of Krylov subspace iterative methods for solving nonsymmetric systems of algebraic linear equations and to study their mathematical properties. Solving systems of algebraic linear equations is among the most frequent problems in scientific computing; it is used in many disciplines such as physics, engineering, chemistry, biology, and several others. Krylov methods have progressively emerged as the iterative methods with the highest efficiency while being very robust for solving large linear systems; they may be expected to remain so, independent of progress in modern computer-related fields such as parallel and high performance computing. The mathematical properties of the methods are described and analyzed along with their behavior in finite precision arithmetic. A number of numerical examples demonstrate the properties and the behavior of the described methods. Also considered are the methods' implementations and coding as Matlab(R)-like functions. Methods which became popular recently are considered in the general framework of Q-OR (quasi-orthogonal )/Q-MR (quasi-minimum) residual methods.

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