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
A. Ali,A . "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
CHICAGO
A 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
VANCOUVER
A. Ali A. A New Non Quadratic Algorithm for Solving Non-Linear Optimization Problems . Kirkuk J. Sci.. 2011;6(2):201-212. doi: 10.32894/kujss.2011.43163