This paper proposes a new algorithm for non-linear optimization to modify and develop the conjugate gradient (CG) methods and to obtain a strong global convergence. This algorithm is derived and evaluated numerically against the standard (P/R and H/S)-CG algorithms and T/S algorithm using more than (20) standard well-known test functions. The numerical results show that, Non –quadratic models are very beneficial in most of the problems especially when the dimensionality of the problem increases.
A. Ali, A. (2011). A New Non Quadratic Algorithm for Solving Non-Linear Optimization Problems. Kirkuk Journal of Science, 6(2), 201-212. doi: 10.32894/kujss.2011.43163
MLA
Adham A. Ali. "A New Non Quadratic Algorithm for Solving Non-Linear Optimization Problems". Kirkuk Journal of Science, 6, 2, 2011, 201-212. doi: 10.32894/kujss.2011.43163
HARVARD
A. Ali, A. (2011). 'A New Non Quadratic Algorithm for Solving Non-Linear Optimization Problems', Kirkuk Journal of Science, 6(2), pp. 201-212. doi: 10.32894/kujss.2011.43163
VANCOUVER
A. Ali, A. A New Non Quadratic Algorithm for Solving Non-Linear Optimization Problems. Kirkuk Journal of Science, 2011; 6(2): 201-212. doi: 10.32894/kujss.2011.43163