Iterative methods and preconditioning for large and sparse linear systems with applications
著者
書誌事項
Iterative methods and preconditioning for large and sparse linear systems with applications
(Monographs and research notes in mathematics)
CRC Press, c2018
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注記
Includes bibliographical references and index
"A Chapman & Hall book"--Cover
内容説明・目次
内容説明
This book describes, in a basic way, the most useful and effective iterative solvers and appropriate preconditioning techniques for some of the most important classes of large and sparse linear systems.
The solution of large and sparse linear systems is the most time-consuming part for most of the scientific computing simulations. Indeed, mathematical models become more and more accurate by including a greater volume of data, but this requires the solution of larger and harder algebraic systems. In recent years, research has focused on the efficient solution of large sparse and/or structured systems generated by the discretization of numerical models by using iterative solvers.
目次
- Introduction and Motivations
- Some iterative algorithms for linear systems
- General purpose preconditioning strategies
- Preconditioners for some structured linear systems
- Appendix A: A Review of Numerical Linear Algebra
- Appendix B: Data sets and software codes
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