Bibliography
for
The Bisection Method
Return to Numerical Methods - Numerical Analysis
Bisection algorithm for computing the frequency response gain of sampled-data systems---infinite-dimensional congruent transformation approach.
Ito, Yoshimichi; Hagiwara, Tomomichi; Maeda, Hajime; Araki, Mituhiko
IEEE Trans. Automat. Control 46 (2001), no. 3, 369--381, Math. Sci. Net.
n-variable bisection.
Münnich, Ákos; Maksa, Gyula; Mokken, Robert J.
J. Math. Psych. 44 (2000), no. 4, 569--581, Math. Sci. Net.
Average-Case Optimality of a Hybrid Secant-Bisection Method
Erich Novak, Klaus Ritter, Henryk Wozniakowski
Mathematics of Computation, Vol. 64, No. 212. (Oct, 1995), pp. 1517-1539, Jstor.
The bisection method in higher dimensions
Wood, G. R.
Math. Programming 55 (1992), no. 3, Ser. A, 319--337, Math. Sci. Net.
Locating three-dimensional roots by a bisection method.
Greene, John M.
J. Comput. Phys. 98 (1992), no. 2, 194--198, Math. Sci. Net.
The Bisection Method: Which Root? (in Notes)
Arthur Benjamin
American Mathematical Monthly, Vol. 94, No. 9. (Nov, 1987), pp. 861-863, Jstor.
Linear Convergence and the Bisection Algorithm (in Notes)
Edwin H. Kaufman, Jr, Terry D. Lenker
American Mathematical Monthly, Vol. 93, No. 1. (Jan, 1986), pp. 48-51, Jstor.
The Bisection Method: A Best Case Analysis (in The Teaching of Mathematics)
A. Finbow
American Mathematical Monthly, Vol. 92, No. 4. (Apr, 1985), pp. 285-286, Jstor.
The Bisection Algorithm is Not Linearly Convergent
Sui-Sun Cheng and Tzon-Tzer Lu
College Math Journal: Volume 16, Number 1, (1985), Pages: 56-57.
Which Root Does the Bisection Algorithm Find? (in Classroom Notes in Applied Mathematics)
George Corliss
SIAM Review, Vol. 19, No. 2. (Apr, 1977), pp. 325-327, Jstor.
(c) John H. Mathews 2003