References

Abashar, A., M. Mamat, M. Rivaie and I. Mohd, 2016. Global convergence properties of a new class of conjugate gradient method for unconstrained optimization. Appl. Math. Sci., 8: 3307-3319.
Direct Link  |  

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

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

Fletcher, R. and C.M. Reeves, 1964. Function minimization by conjugate gradients. Comput. J., 7: 149-154.
CrossRef  |  Direct Link  |  

Ghani, N.H.A., M. Rivaie and M. Mamat, 2016. A Modified Form of Conjugate Gradient Method for Unconstrained Optimization Problems. In: AIP Conference Proceedings, Chen, C.Y., S.N.I. Ibrahim, L.S. Lee, F.P. Lim and M.Z.A.M. Jaffar et al., (Eds.). AIP Publisher, Melville, New York, USA., pp: 020076-1-020076-8.

Hajar, N., M. Mamat, M. Rivaie and I. Jusoh, 2016. A New Type of Descent Conjugate Gradient Method with Exact Line Search. In: AIP Conference Proceedings, Chen, C.Y., S.N.I. Ibrahim, L.S. Lee, F.P. Lim and M.Z.A.M. Jaffar et al., (Eds.). AIP Publisher, Melville, New York, USA., pp: 020089-1-020089-8.

Hestenes, M.R. and E. Stiefel, 1952. Methods of conjugate gradients for solving linear systems. J. Res. Nat. Bureau Stand., 49: 409-435.
Direct Link  |  

Hilstrom, K.E., 1977. A simulation test approach to the evaluation of nonlinear optimization algorithms. ACM Trans. Mathe. Software, 3: 305-315.
Direct Link  |  

Jusoh, I., M. Mamat and M. Rivaie, 2013. A New Family of Conjugate Gradient Methods for Small-Scale Unconstrained Optimization. In: AIP Conference Proceedings, Ishak, A., I. Hashim, E.S. Ismail and R. Nazar (Eds.). AIP Publisher, Melville, New York, USA., pp: 1360-1365.

Khadijah, W., M. Rivaie, M. Mamat and I. Jusoh, 2016. A Spectral KRMI Conjugate Gradient Method Under the Strong-Wolfe Line Search. In: AIP Conference Proceedings, Chen, C.Y., S.N.I. Ibrahim, L.S. Lee, F.P. Lim and M.Z.A.M. Jaffar et al., (Eds.). AIP Publisher, Melville, New York, USA., pp: 020072-1-020072-8.

Mohamed, N.S., M. Mamat, F.S. Mohamad and M. Rivaie, 2016. A new coefficient of conjugate gradient methods for nonlinear unconstrained optimization. J. Sci. Technol. Eng., 78: 131-136.

Polak, E. and G. Ribiere, 1969. Note on the convergence of methods of conjugate directions. French J. Comput. Sci. Oper. Res., Ser. Rouge, 3: 35-43.

Polyak, B.T., 1969. The conjugate gradient method in extremal problems. USSR. Comput. Math. Phys., 9: 94-112.
Direct Link  |  

Powell, M.J., 1986. Convergence properties of algorithms for nonlinear optimization. Siam Rev., 28: 487-500.
CrossRef  |  Direct Link  |  

Rivaie, M., M. Mamat and A. Abashar, 2015. A new class of nonlinear conjugate gradient coefficients with exact and inexact line searches. Appl. Math. Comput., 268: 1152-1163.
Direct Link  |  

Rivaie, M., M. Mamat, L.W. June and I. Mohd, 2012. A new class of nonlinear conjugate gradient coefficients with global convergence properties. Appl. Math. Comput., 218: 11323-11332.
Direct Link  |  

Rivaie, M., M. Mustafa, M. Ismail and M. Fauzi, 2011. A comparative study of conjugate gradient coefficient for unconstrained optimization. Aus. J. Bas. Appl. Sci., 5: 947-951.
Direct Link  |  

Shapiee, N., M. Rivaie, M. Mamat and I. Mohd, 2014. A New Modification of Hestenes-Stiefel Method with Descent Properties. In: AIP Conference Proceedings, Zin, W.Z.W., S.C. Dzul-Kifli, F.A. Razak and A. Ishak (Eds.). AIP Publisher, Melville, New York, USA., pp: 520-526.

Shengwei, Y., Z. Wei and H. Huang, 2007. A note about Wyl’s conjugate gradient method and its applications. Applied Math. Comput., 191: 381-388.
CrossRef  |  Direct Link  |  

Shoid, S., M. Rivaie and M. Mamat, 2016. A Modification of Classical Conjugate Gradient Method Using Strong Wolfe Line Search. In: AIP Conference Proceedings, Chen, C.Y., S.N.I. Ibrahim, L.S. Lee, F.P. Lim and M. Z.A.M. Jaffar et al., (Eds.). AIP Publisher, Melville, New York, pp: 020071-1-020071-8.

Zull, N., M. Rivaie, M. Mamat, Z. Salleh and Z. Amani, 2015. Global convergence properties of a new spectral conjugate gradient by using strong wolfe line search. Appl. Math. Sci., 9: 3105-3117.