Iterative Methods for Linear and Nonlinear Equations
C. T. Kelley
SIAM Frontiers in Applied Mathematics, no 16
ISBN# 0-89871-352-8

For more information, check out SIAM's official description of the book or the sales pitch at amazon.com. There is a set of MATLAB codes for the algorithms.

This book is the text for Mathematics 784 (Spring, even numbered years) and one of the texts for Mathematics 580 (1995-7 Academic years).

Errata:

• First printing errors corrected in second printing.
• Second printing errors corrected in third printing.