Numerical solution of nonlinear equations

25. R. P. Brent, Numerical solution of nonlinear equations, Department of Computer Science, Stanford University, March 1975, 189 pp.


These are lecture notes for a graduate course taught at Stanford University in 1975. The topics covered include algorithms for the solution of equations in both one and several variables, and analysis of their convergence properties.


These notes should have been converted into a book (as was originally intended), but too much time has now elapsed and part of the material is obsolete. For related work see Brent et al [8, 11, 12, 14, 16].

Partial Contents

A few pages have been scanned and are accessible below (gif files). Other pages could be scanned if there is sufficient demand. Please contact the author if you are interested.
Front cover.

Table of contents: 1, 2, 3, 4, 5, 6, 7.

Comments on the status of the material.

Chapter 1:

Section 1: 1, 2, 3, 4.
Section 2: 1, 2.
Chapter 2: 1.

Chapter 4: 1, 2, 3  (for more see [5]).

Chapter 5: 1  (for more see [26, 27]).

Chapter 8: 1, 2  (for more see [14]).

Chapter 12: 1, 2  (for more see [16]).

All the above gif files are available in one pdf file (992K).

Go to next publication

Return to Richard Brent's index page