References

Byrd, R.H. and J. Nocedal, 1989. A tool for the analysis of quasi-Newton methods with application to unconstrained minimization. SIAM J. Numer. Anal., 26: 727-739.
CrossRef  |  

Byrd, R.H., J. Nocedal and J. Y.X Yuan, 1987. Global convergence of a class of quasi-newton methods on Convex problems. SIAM J. Numer. Anal., 24: 1171-1190.
CrossRef  |  

Chong, E.K.P. and S.H. Zak, 2001. An Introduction to Optimization. John Wiley and Sons, New York, pp: 365-433.

Han, L. and M. Neumann, 2003. Combining quasi-Newton and steepest descent directions. Intl. J. Appl. Math., 12: 167-171.

Ibrahim, M.A.H., M. Mamat and W.J. Leong, 2014. The hybrid BFGS-CG method in solving unconstrained optimization problems. Abstract Appl. Anal., 2014: 1-6.
Direct Link  |  

Ludwig, A., 2007. The Gauss-Seidel-quasi-Newton method: A hybrid algorithm for solving dynamic economic models. J. Econ. Dyn. Control, 31: 1610-1632.
Direct Link  |  

Luo, Y.Z., G.J. Tang and L.N. Zhou, 2008. Hybrid approach for solving systems of nonlinear equations using chaos optimization and quasi-Newton method. Appl. Soft Comput., 8: 1068-1073.
Direct Link  |  

Nocedal, J. and S.J. Wright, 2006. Numerical Optimization. Springer-Verlag, New York, USA., pp: 188-193.

Powell, M.J.D., 1977. Restart procedures for the conjugate gradient method. Mathe. Program., 12: 241-254.
CrossRef  |  

Wolfe, P., 1969. Convergence conditions for ascent method. SIAM Rev., 11: 226-235.
Direct Link  |  

Wolfe, P., 1971. Convergence conditions for ascent methods II: Some corrections. SIAM. Rev., 13: 185-188.
Direct Link  |  

Xu, D.C., 2003. Global convergence of the broyden's class of quasi-newton methods with nonmonotone linesearch. Acta Math. Appl. Sinica, 19: 19-24.
CrossRef  |  Direct Link  |