A new unidimensional search method for optimization: Linear interpolation method

Applied Mathematics and Computation

Volumn 171, Issue 2, 2005, Pages 912-926

  Kahya, Emin ^a  

^a ESKISEHIR OSMANGAZI UNIVERSITY   (Turkey)

Author keywords

Initial interval of uncertainty; Linear interpolation method; Optimization method; Test functions; Unconstrained optimization; Unidimensional search method

Indexed keywords

FUNCTIONS; INTERPOLATION; ITERATIVE METHODS; LINEAR EQUATIONS;

INITIAL INTERVAL OF UNCERTAINTY; LINEAR INTERPOLATION METHOD; OPTIMIZATION METHOD; TEST FUNCTIONS; UNCONSTRAINED OPTIMIZATION; UNIDIMENSIONAL SEARCH METHOD;

OPTIMIZATION;

EID: 31144467203     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2005.01.098     Document Type: Article

References (13)

1. M.V.C. Rao, and P. Subbaraj New and efficient unidimensional search scheme for optimization Engineering Optimization 13 4 1988 293 305
2. M.V.C. Rao, and N.D. Bhat A new unidimensional search scheme for optimization Computers Chemical Engineering 15 9 1991 671 674
3. M.S. Bazaraa, H.D. Sherali, and C.M. Shetty Nonlinear Programming Theory and Algorithms second ed. 1993 John Wiley & Sons, Inc. New York
4. D.G. Luenberger Linear and Nonlinear Programming second ed. 1984 Addison-Wesley Publishing Company, Inc.
5. H. Schwefel Numerical Optimization of Computer Models 1981 John Wiley & Sons, Ltd. New York
6. D.A. Wismer, and R. Chattergy Introduction to Nonlinear Optimization a Problem Solving Approach 1978 Elsevier Science Publishing Co. Inc. New York
7. J.W. Gentry A new one dimensional search technique Chemical Engineering Science 25 1970 425 430
8. R.L. Fox, L.S. Lasdon, A. Tamir, and M. Ratner An efficient one dimensional search procedure Management Science 22 1 1975 42 50
9. M.V.C. Rao, and K.S. Chandra A new unidimensional search method for optimization Engineering Optimization 6 1982 39 50
10. E. Kahya A new unidimensional search method for optimization: the tangential interpolation International Journal of Applied Mathematics 1 7 1999 711 724
11. B. Yildiz, and E. Karaduman On Fibonacci search method with k-Lucas number Applied Mathematics and Computation 143 2003 523 531
12. C.S. Beightler, D.I. Phillips, and D.J. Wilde Foundations of Optimization second ed. 1979 Prentice-Hall, Inc. Englewood Cliffs, NJ
13. R.L. Rardin Optimization in Operations Research 1998 Prentice-Hall, Inc. NJ