The most recent paper on this subject seems to be

Algorithm 748; enclosing zeros of continuous functions

G. E. Alefeld F. A. Potra Yixun Shi

ACM Transactions on Mathematical Software Vol. 21, No. 3 (Sept. 1995),
Pages 327-344

http://www.acm.org/pubs/citations/journals/toms/1995-21-3/p327-alefeld/