Bibliography for Fibonacci Search

short

 

  1. On Fibonacci search method with k-Lucas numbers
    Yildiz, Bunyamin; Karaduman, Erdal
    Applied Mathematics and Computation (New York), v 143, n 2-3, Nov 10, 2003, p 523-531, Compendex.
  2. Single Variable Optimization When Calculus Fails: Fibonacci Search Methods in Nonlinear Optimization Using MAPLE
    Fox
    Computers in Education Journal, 2002, vol. 12, no. 2, pp. 64-71, Ingenta.
  3. Can Fibonacci numbers improve your search algorithms?
    Schweber, Bill  
    EDN v. 45 no20 (i.e. 21) (Oct. 12 2000) p. 65-68, FirstSearch.  
  4. New Fibonacci and Lucas primes.
    Dubner, Harvey; Keller, Wilfrid
    Math. Comp. 68 (1999), no. 225, 417--427, S1--S12, MathSciNet.  
  5. Applications of Fibonacci numbers. Vol. 7. Proceedings of the 7th International Research Conference on Fibonacci Numbers and their Applications held at the Technische Universität Graz, Graz, July 15--19, 1996.
    Edited by G. E. Bergum, A. N. Philippou and A. F. Horadam.
    Kluwer Academic Publishers, Dordrecht, 1998. xxxvi+484 pp. ISBN: 0-7923-5022-7, MathSciNet.  
  6. The golden ratio and Fibonacci numbers.
    Dunlap, Richard A.
    World Scientific Publishing Co., Inc., River Edge, NJ, 1997. viii+162 pp. ISBN: 981-02-3264-0 11B39, MathSciNet.  
  7. Applications of Fibonacci numbers. Vol. 6. Proceedings of the Sixth International Research Conference on Fibonacci Numbers and their Applications held at Washington State University, Pullman, Washington, July 18--22, 1994.
    Edited by G. E. Bergum, A. N. Philippou and A. F. Horadam.
    Kluwer Academic Publishers Group, Dordrecht, 1996. xxviii+551 pp. ISBN: 0-7923-3956-8 11-06, MathSciNet.  
  8. On Some Applications of Fibonacci Numbers (in The Computer Science Sampler)  
    David L. Ranum  
    The American Mathematical Monthly, Vol. 102, No. 7. (Aug. - Sep., 1995), pp. 640-645, Jstor.  
  9. One Dimensional Nonlinear Search Algorithms: Macros for Fibonacci's Search Method
    Fox
    Computers in education journal, 1993, vol. 3, no. 3, pp. 60, Ingenta.
  10. On the Complexity of Search Algorithms  
    Kuo-Liang Chung, Wen-Chin Chen, Ferng-Ching Lin  
    IEEE Transactions on Computers, September 1992 (Vol. 41, No. 9), pp.  1172-1176
  11. Generalization of the Fibonacci search
    Capocelli, Renato M.
    Proceedings of the International Conference on Fibonacci Numbers and Their Applications, v 4, 1991, p 69--76, Compendex.
  12. Applications of Fibonacci numbers. Vol. 4. Proceedings of the Fourth International Conference on Fibonacci Numbers and their Applications held at Wake Forest University, Winston-Salem, North Carolina, July 30--August 3, 1990.
    Edited by G. E. Bergum, A. N. Philippou and A. F. Horadam.
    Kluwer Academic Publishers Group, Dordrecht, 1991. xxiv+313 pp. ISBN: 0-7923-1309-7 11-06, MathSciNet.  
  13. Fibonacci & Lucas numbers, and the golden section. Theory and applications.
    Vajda, S.
    Ellis Horwood Series: Mathematics and its Applications. Ellis Horwood Ltd., Chichester; Halsted Press [John Wiley & Sons, Inc.], New York, 1989. 190 pp. ISBN: 0-470-21508-9, MathSciNet.  
  14. A Fibonacci search technique for model parameter selection.
    Vardavas, I. M.
    Ecological modelling, 1989, vol. 48, no. 1/2, pp. 65 , Ingenta.
  15. Fibonacci Numbers and Computer Algorithms (in Computer Corner)  
    John Atkins; Robert Geist  
    The College Mathematics Journal, Vol. 18, No. 4. (Sep., 1987), pp. 328-336, Jstor.  
  16. Binary search revisited: another advantage of Fibonacci search.    
    Nishihara, Seiichi; Nishino, Hiroji     
    IEEE Trans. Comput. 36 (1987), no. 9, 1132--1135, MathSciNet.  
  17. TRANSYT traffic engineering program efficiency improvement via Fibonacci search
    Foulds, L. R.  
    Transportation Research. Part A, General v. 20A (July '86) p. 331-335, FirstSearch.  
  18. Wythoff games, continued fractions, cedar trees and Fibonacci searches.    
    Fraenkel, Aviezri S.    
    Theoret. Comput. Sci. 29 (1984), no. 1-2, 49--73, MathSciNet.  
  19. Wythoff games, continued fractions, cedar trees and Fibonacci searches.
    Fraenkel, Aviezri S.
    Automata, languages and programming (Barcelona, 1983), 203--225, Lecture Notes in Comput. Sci., 154, Springer, Berlin, 1983, MathSciNet.  
  20. On maximizing functions by Fibonacci search.    
    Hassin, Refael    
    Fibonacci Quart. 19 (1981), no. 4, 347--351, MathSciNet.  
  21. An application of the Fibonacci search technique to determine optimal sample size in a Bayesian decision problem.    
    Braverman, Jerome D.; Toof, David J.    
    A collection of manuscripts related to the Fibonacci sequence, pp. 137--145, Fibonacci Assoc., Santa Clara, Calif., 1980, MathSciNet.  
  22. Assembly-line balancing: zero-one programming with Fibonacci search.   
    Patterson, James H.; Albracht, Joseph J.    
    Operations Res. 23 (1975), no. 1, 166--172, MathSciNet.  
  23. Efficiency of the Fibonacci search method.    
    Overholt, K. J.    
    Nordisk Tidskr. Informationsbehandling (BIT) 13 (1973), 92--96, MathSciNet.  
  24. Fibonacci search with arbitrary first evaluation.    
    Witzgall, Christoph    
    Fibonacci Quart. 10 (1972), no. 2, 113--134, 146.
  25. Optimality proof for the symmetric Fibonacci search technique.   
    Avriel, Mordecai; Wilde, Douglass J.    
    Fibonacci Quart. 4 1966 265--269, MathSciNet.  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004