Iterative Krylov Methods for Large Linear Systems


Based on extensive research by Henk van der Vorst, this book presents an overview of a number of Krylov projection methods for the solution of linear systems of equations. Van der Vorst demonstrates how these methods can be derived from basic iteration formulas and how they are related. Focusing on the ideas behind the methods rather than a complete presentation of the theory, the volume includes a substantial amount of references for further reading as well as exercises to help students initially encountering the material.


 Reviews:

"The book contains basic material as well as many interesting aspects of iterative methods which may lead to new algorithms. Hence it is of interest to both students and researcher. Moreover, it is very clearly written and hence is a very good tool to use for teaching both undergraduate and postgraduate courses for mathematicians, computer scientists and engineers."
Melina A. Freitag, Mathematical Reviews

'Anyone interested in numerical analysis and in applied mathematics should read this book. It is absolutely splendid.' Numerical Algorithms

'The book is useful and a source of valuable information …' Zentralblatt für Mathematik

'This is a beautiful book … Reading and reviewing this book has been a most pleasant experience. I strongly recommend this text to colleagues and students.' Zeitschrift für Angewandte Mathematik und Mechanik

'… a compact but comprehensive introduction to iterative methods, also taking account of computer methods.' Mathematika