By Lloyd N. Trefethen & David Bau, III, ISBN 0-89871-361-7
Designed for use in a graduate-level course in numerical linear algebra,this book is divided into forty lectures. Each lecture is built aroundone or two central topics, emphasizing the unity between ideas. One unusualaspect of this book is that it begins with QR factorization rather thanGaussian elimination, to provide a more solid and easier-to-understandfoundation for the subsequent lectures. The last part of the book is devotedto iterative methods.