Interative methods for linear systems :
Olshanskii, Maxim A.
Interative methods for linear systems : theory and applications / Maxim A. Olshanskii and Eugene E. Tyrtyshnikov - USA Society for Industrial and Applied Mathematics 2018 - 247 p.
Systems of linear equations are ubiquitous in numerical analysis and scientific computing. and iterative methods are indispensable for the numerical treatment of such systems. This book offers a rigorous introduction to fundamental iterative methods for systems of linear algebraic equations. The book distinguishes itself from other texts on the topic by providing a straightforward yet comprehensive analysis of the Krylov subspace methods, approaching the development and analysis of algorithms from various perspectives, and going beyond the standard description of iterative methods by connecting them in a natural way to the idea of preconditioning. The book supplements standard texts on numerical mathematics for first-year graduate and advanced undergraduate courses and is suitable for advanced graduate classes covering numerical linear algebra and Krylov subspace and multigrid iterative methods. It will be useful to researchers interested in numerical linear algebra and engineers who use iterative methods for solving large algebraic systems.
9789386235367
Electromechanical analogiesﾠ
Differential equations, Linearﾠ
Linear systemsﾠ
517.38 OLS-M
Interative methods for linear systems : theory and applications / Maxim A. Olshanskii and Eugene E. Tyrtyshnikov - USA Society for Industrial and Applied Mathematics 2018 - 247 p.
Systems of linear equations are ubiquitous in numerical analysis and scientific computing. and iterative methods are indispensable for the numerical treatment of such systems. This book offers a rigorous introduction to fundamental iterative methods for systems of linear algebraic equations. The book distinguishes itself from other texts on the topic by providing a straightforward yet comprehensive analysis of the Krylov subspace methods, approaching the development and analysis of algorithms from various perspectives, and going beyond the standard description of iterative methods by connecting them in a natural way to the idea of preconditioning. The book supplements standard texts on numerical mathematics for first-year graduate and advanced undergraduate courses and is suitable for advanced graduate classes covering numerical linear algebra and Krylov subspace and multigrid iterative methods. It will be useful to researchers interested in numerical linear algebra and engineers who use iterative methods for solving large algebraic systems.
9789386235367
Electromechanical analogiesﾠ
Differential equations, Linearﾠ
Linear systemsﾠ
517.38 OLS-M