Bibliography

for

The Bisection Method

Return to Numerical Methods - Numerical Analysis

 

  1. 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.  
  2. n-variable bisection.  
    Münnich, Ákos;  Maksa, Gyula;  Mokken, Robert J.  
    J. Math. Psych. 44 (2000), no. 4, 569--581, Math. Sci. Net.  
  3. 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.  
  4. The bisection method in higher dimensions  
    Wood, G. R.  
    Math. Programming 55 (1992), no. 3, Ser. A, 319--337, Math. Sci. Net.  
  5. Locating three-dimensional roots by a bisection method.  
    Greene, John M.  
    J. Comput. Phys. 98 (1992), no. 2, 194--198, Math. Sci. Net.  
  6. The Bisection Method: Which Root? (in Notes)  
    Arthur Benjamin  
    American Mathematical Monthly, Vol. 94, No. 9. (Nov, 1987), pp. 861-863, Jstor.  
  7. 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.  
  8. 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.  
  9. 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.  
  10. 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