Iterative methods and preconditioning for large and sparse linear systems with applications. ([2018])

• Record Type: Book
• Further Information: Note: Daniele Bertaccini & Fabio Durastante.
• Authors: Bertaccini, Daniele; Durastante, Fabio
• Contents: Cover; Half title; Published Titles; Title; Copyright; Dedication; Contents; Preface; List of Figures; List of Tables; List of Algorithms; Chapter 1 Introduction and Motivations; 1.1 Notes on error analysis; 1.2 Sparse matrices; 1.3 On parallel computing and hardware acceleration; Chapter 2 Some iterative algorithms for linear systems; 2.1 Iterative algorithms and simple one-dimensional techniques; 2.2 Krylov subspace algorithms, orthogonal projections: CG and GMRES; 2.3 Krylov subspace algorithms, oblique projections: BiCG, QMR, CGS, BiCGstab, BiCGstab(l 2.4 Which Krylov subspace method should I useChapter 3 General purpose preconditioning strategies; 3.1 Generalities on preconditioning; 3.2 Krylov iterative methods for preconditioned iterations; 3.3 On Jacobi, SOR, and SSOR preconditioners; 3.4 Incomplete factorization preconditioners; 3.5 Approximate inverse preconditioners; 3.6 Preconditioning sequences of linear systems; 3.7 Parallelizing preconditioners and available software; 3.8 Which general purpose preconditioner should I use; Chapter 4 Preconditioners for some structured linear systems; 4.1 Toeplitz and block Toeplitz systems 4.2 Notes on multigrid preconditioning4.3 Complex symmetric systems; 4.4 Saddle point systems; Appendix A A Review of Numerical Linear Algebra; A.1 Vector and matrix norms; A.2 Eigenvalues and singular values; Appendix B Data sets and software codes; B.1 Test matrices and data sets; B.2 Numerical Linear Algebra software; Bibliography; Index
• Publisher Details: Boca Raton, Florida : CRC Press
• Publication Date: 2018
• Extent: 1 online resource
• Subjects: 518/.26; Iterative methods (Mathematics); Linear systems; Iterative methods (Mathematics); Linear systems; MATHEMATICS / Numerical Analysis; Electronic books
• Languages: English
• ISBNs: 9781315153575; 1315153572; 9781351649612; 1351649612
• Related ISBNs: 9781498764162; 1498764169
• Notes: Note: Includes bibliographical references and index.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.