Krylov Subspace Methods for Linear Systems: Principles and Algorithms
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Comprehensive Guide to Krylov Subspace Methods: Provides a thorough understanding of Krylov subspace methods for solving linear systems, including conjugate gradient, GMRES, and MINRES. Theoretical Foundations and Practical Algorithms: Covers the mathematical principles behind Krylov subspace methods and presents efficient algorithms for their implementation. Applications in Scientific Computing: Explores the use of Krylov subspace methods in solving large-scale linear systems arising from scientific and engineering applications. Preconditioning Techniques: Discusses preconditioning techniques to enhance the performance of Krylov subspace methods and accelerate convergence. * MATLAB Implementation: Includes MATLAB code examples to illustrate the concepts and algorithms presented in the book, making it accessible for practical use.
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