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        Research of Modified Ternary Search Algorithm and Its Applications

        2017-05-15 01:57:52JIANGSiyangCHENGLongJIANGHui
        惠州學(xué)院學(xué)報(bào) 2017年6期
        關(guān)鍵詞:數(shù)學(xué)信息

        JIANG Siyang ,CHENG Long,JIANG Hui

        (1.School of Mathematics and Information Science,Shanxi Normal University ,Xi’an 710119, Shanxi, China;2.School of Information Science and Technology, Huizhou University, Huizhou 516007, Guangdong, China)

        (1. 陜西師范大學(xué) 數(shù)學(xué)與信息科學(xué)學(xué)院,陜西 西安 710119;2.惠州學(xué)院 信息科學(xué)技術(shù)學(xué)院, 廣東 惠州 516007)

        References

        [1]MARTOLIA A N,ARORA M E. A novel ternary search algorithm,International Journal of Computer Applications,2016,144(11):35-36.

        [2]BAJWA M S,Agarwal,A P,Manchanda S. Ternary search algorithm:improvement of binary search,The 2nd International Conference on Computing for Sustainable Global Development,2015.

        [3]BERTISMAS D,TSITSIKLIS J. Simulated annealing,Statistic Science,1993,8(1):10-15.

        [4]BOONNAM N,CHITSAKUL P. The shortest path between two points on some surface by using the application of Euler equation,Proceedings of the 6th IMT-GT Conference on Mathematics,Statistics and its Applications,2010.

        [5]GARDNER M,The ant on a 1×1×2,Math Horizons,1996,3(3):8-9.

        [6]GOLBABAI A,JAVIDI M. A new family of iterative methods for solving system of nonlinear algebric equations,Applied Mathematics and Computation,2007,190(2):1717-1722.

        [7]GUO D L,ZHENG T J,ZHOU Y Q. Hybrid fast bacterial foraging algorithm for solving nolinear equation,Computer Engineering and Applications,2014,50(21):32-34.

        [8]HUANG X D,ZENG Z G,MA Y N. Nonlinear Numerical Analysis,Wuhan University Press,china,2000.

        [9]JABERIPOUR M,KHORRAM E,KARIMI B. Particle swarm algorithm for solving systems of nonlinear equations,Computers and Mathematics with Applications,2011,62(2):566-576

        [10]JOSHI G,KRISHNA M B. Solving system of non-linear equations using genetic algorithm,International Conference on Advances in Computing,Communications and Informatics,2014.

        [11]JR H A,PETRAGLIA A. Petraglia,Solving nonlinear systems of functional equations with fuzzy adaptive simulated annealing,Applied Soft Computing,2013,13(11):4349-4357.

        [12]KENNEDY J,EBERHART R. Particle swarm optimization,Proceedings of IEEE International Conference on Neural Networks,Perth,Australia,1995.

        [13]LUO Z Y,YUAN D C,TAN G J. Hybrid genetic algorithm for solving systems of nonlinear equations,Chinese Journal of Computational Mechanics,2005,22(1):109-114.

        [14]NEDZHIBOV G H. A family of multi-point iterative methods for solving systems of nonlinear equations,Journal of Computational and Applied Mathematics,2008,222(2):244 - 250.

        [15]NOOR M A,WASEEM M,NOOR K I,ALI M A. New iterative technique for solving nonlinear equations,Applied Mathematics and Computation,2015,265(C):1115-1125.

        [16]SEDGEWICK R,WAYNE K. Algorithm(fourth edition),Posts&Telecom Press,2012,10.

        [17]TAN Z J,XIAO C Y. The research of the solution to the nonlinear equtions,Journal of Jilin Normal Universtiy(Natural Science Edition),2014,3(8):102-104.

        [18]WOLFE D,RODGERS T. Puzzlers’Tribute:A Feast For The Mind,A K Peters/CRC Press,2001:406-411.

        [19]WU L L,WANG Z R,ZHU C J. Evolutionary strategy based on simulated annealing algorithm to solve the system of nonlinear equations,Journal of Hefei University of Technology,2008,31(2):

        [20]XU X Y,ZHANG H F,ZHONG T Y. Simulated annealng algorithm for solving nonlinear equation and system,Aeronautical Computing Technique,2007,37(1):44-46.

        [21]Yan,L.W.,Chen,S.H.,Solving nonlinear equations based on improved genetic algorithm,Acta Scientiarum Naturalium Universitatis Sunyatseni,2011,50(1):9-13.

        [22]YU L,SHI F. Matlab intelligent algorithm:a case study of 30 cases,Beihang University Press,August,2015:1-300.

        [23]ZHANG C X,Li,J.W.,An universal numerical algorithm of extremum for multivariate nonlinear function, Journal of Xi’ an University of Engineering Science and Technology,2005,19(4):507-512.

        [24]ZHANG H L,LIN G Y,XU G L. Hybrid artificial bee colony algorithm for solving nonlinear equation,Computer Engineering and Applications,2014,50(10):48-51.

        [25]ZHAO P Y,WU S W,FENG D G. Analysis of numerical calculation method and convergence rate of transcendental equation,Journal of Yangtze University(Natural Science Edition),2009,9(5):1-5

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