Text Books for Math. 556
We will continue to use the manuscript, Introduction
to Numerical Analysis by Arnold Neumaier for the study of single nonlinear
equations and systems of nonlinear equations. Details can be found as they
are posted in the course
outline and assignments.
We will be using an electronic book from the Computational
Science Research Project for material on optimization,
differential equations, and partial differential equations (part
1 and part 2).
A Table of Contents
for this entire set of lectures is available. The material is presented
as a system of web pages. Printed copies can also be obtained by downloading
Postscript; contact me if you have
questions about this.
A reference will be Rigorous
Global Search: Continuous Problems, R.
Baker Kearfott, Kluwer Academic Publishers,
Dordrecht, Netherlands, 1996.
In addition to the Fortran 90 resources mentioned
from last semester, the Computational
Science Research Project has a chapter on Fortran
The following additional on-line references will be useful:
for the Solution of Linear Systems by Jack Dongarra has a short
explanation on the theory
behind the conjugate gradient method.