Report Number: CS-TR-67-60
Institution: Stanford University, Department of Computer Science
Title: Two algorithms based on successive linear interpolation
Author: Wilkinson, James H.
Date: April 1967
Abstract: The method of successive linear interpolation has a very
satisfactory asymptotic rate of convergence but the behavior
in the early steps may lead to divergence. The regular falsi
has the advantage of being safe but its asymptotic behavior
is unsatisfactory. Two modified algorithms are described here
which overcome these weaknesses. Although neither is new,
discussions of their main features do not appear to be
readily available in the literature.
http://i.stanford.edu/pub/cstr/reports/cs/tr/67/60/CS-TR-67-60.pdf