References

Abidin, Z.A.Z., M. Mamat, M. Rivaie and I. Mohd, 2014. A new steepest descent method. Proceedings of the 3rd International Conference on Mathematical Sciences, Vol. 1602, December 17-19, 2013, AIP, Melville, New York, ISBN:978-0-7354-1236-1, pp: 273-278.

Andrei, N., 2007. Scaled conjugate gradient algorithms for unconstrained optimization. Comput. Optim. Appl., 38: 401-416.
CrossRef  |  Direct Link  |  

Andrei, N., 2008. An unconstrained optimization test functions collection. Adv. Mod. Optimiz., 10: 147-161.
Direct Link  |  

Barzilai, J. and J.M. Borwein, 1988. Two-point step size gradient methods. IMA. J. Numer. Anal., 8: 141-148.
CrossRef  |  Direct Link  |  

Cauchy, A., 1847. [General method for solving systems of simultaneous equations (In French)]. Comp. Rend. Sci. Paris, 25: 536-538.
Direct Link  |  

Dai, Y.H. and L.Z. Liao, 2002. R-linear convergence of the Barzilai and Borwein gradient method. IMA. J. Numer. Anal., 22: 1-10.
CrossRef  |  Direct Link  |  

Dolan, E.D. and J.J. More, 2002. Benchmarking optimization software with performance profiles. Math. Program., 91: 201-213.
CrossRef  |  Direct Link  |  

Jamil, M. and X.S. Yang, 2013. A literature survey of benchmark functions for global optimisation problems. Intl. J. Math. Modell. Numer. Optimisation, 4: 150-194.
CrossRef  |  Direct Link  |  

Mamat, M., S.Y. Aw and I. Mohd, 2009. An efficient algorithm for steepest descent method for unconstrained optimization. J. Sci. Technol. UTHM., 1: 13-25.
Direct Link  |  

Nocedal, J. and S.J. Wright, 2006. Numerical Optimization. 2nd Edn., Springer, Berlin, Germany, ISBN-13:978-0387-30303-1, Pages: 664.

Raydan, M., 1993. On the Barzilai and Borwein choice of steplength for the gradient method. IMA. J. Numer. Anal., 13: 321-326.
CrossRef  |  Direct Link  |  

Wen, G.K., M. Mamat, I. bin Mohd and Y. Dasril, 2012. A novel of step size selection procedures for steepest descent method. Appl. Math. Sci., 6: 2507-2518.
Direct Link  |  

Witte, B.F. and W.R. Holst, 1964. Two new direct minimum search procedures for functions of several variables. Proceedings of the International Joint Conference on Computer (AFIPS '64), April 21-23, 1964, ACM, New York, USA., pp: 195-209.

Zhang, L., W. Zhou and D. Li, 2006. Global convergence of a modified Fletcher-reeves conjugate gradient method with Armijo-type line search. Numerische Math., 104: 561-572.
CrossRef  |  Direct Link  |