Based on the Dai-Liao and Kafaki-Ghanbari methods, a new non-linear conjugate gradient method is proposed. Under proper conditions, it is briefly shown that our proposed method possess the descent property and generates conjugate directions. We also show that the suggested method with Wolfe line search conditions is globally convergent. Numerical results illustrates that our suggested method can efficiently solve the test problems and therefore is promising.
Khalil K. Abbo, P., & J. Namik, A. (2017). A new non-linear conjugate gradient method based on the Dai-Liao and Kafaki-Ghanbari methods. Kirkuk Journal of Science, 12(2), 93-107. doi: 10.32894/kujss.2017.124947
MLA
Prof. Khalil K. Abbo; Aynur J. Namik. "A new non-linear conjugate gradient method based on the Dai-Liao and Kafaki-Ghanbari methods". Kirkuk Journal of Science, 12, 2, 2017, 93-107. doi: 10.32894/kujss.2017.124947
HARVARD
Khalil K. Abbo, P., J. Namik, A. (2017). 'A new non-linear conjugate gradient method based on the Dai-Liao and Kafaki-Ghanbari methods', Kirkuk Journal of Science, 12(2), pp. 93-107. doi: 10.32894/kujss.2017.124947
VANCOUVER
Khalil K. Abbo, P., J. Namik, A. A new non-linear conjugate gradient method based on the Dai-Liao and Kafaki-Ghanbari methods. Kirkuk Journal of Science, 2017; 12(2): 93-107. doi: 10.32894/kujss.2017.124947
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