TY  - BOOK
AU  - Vorst,H.A.van der
TI  - Iterative Krylov methods for large linear systems
T2  - Cambridge monographs on applied and computational mathematics
SN  - 9780511615115 (ebook)
AV  - QA297.8 .V67 2003
U1  - 511/.4 21
PY  - 2003///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Iterative methods (Mathematics)
KW  - Linear systems
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015)
N2  - Computational simulation of scientific phenomena and engineering problems often depends on solving linear systems with a large number of unknowns. This book gives insight into the construction of iterative methods for the solution of such systems and helps the reader to select the best solver for a given class of problems. The emphasis is on the main ideas and how they have led to efficient solvers such as CG, GMRES, and BI-CGSTAB. The author also explains the main concepts behind the construction of preconditioners. The reader is encouraged to gain experience by analysing numerous examples that illustrate how best to exploit the methods. The book also hints at many open problems and as such it will appeal to established researchers. There are many exercises that motivate the material and help students to understand the essential steps in the analysis and construction of algorithms
UR  - https://doi.org/10.1017/CBO9780511615115
ER  -