An Algorithm for Optimization
Nada I. Đuranović-Miličić (2005)
The Yugoslav Journal of Operations Research
Similarity:
Nada I. Đuranović-Miličić (2005)
The Yugoslav Journal of Operations Research
Similarity:
Pang, Li-Ping, Xia, Zun-Quan (2003)
Serdica Mathematical Journal
Similarity:
2000 Mathematics Subject Classification: 90C25, 68W10, 49M37. A general framework of the (parallel variable transformation) PVT-type algorithm, called the PVT-MYR algorithm, for minimizing a non-smooth convex function is proposed, via the Moreau-Yosida regularization. As a particular scheme of this framework an ε-scheme is also presented. The global convergence of this algorithm is given under the assumptions of strong convexity of the objective function and an ε-descent...
Nada I. Žuranović-Miličić (2000)
The Yugoslav Journal of Operations Research
Similarity:
Ahmad Kamandi, Keyvan Amini (2022)
Applications of Mathematics
Similarity:
We propose a new and efficient nonmonotone adaptive trust region algorithm to solve unconstrained optimization problems. This algorithm incorporates two novelties: it benefits from a radius dependent shrinkage parameter for adjusting the trust region radius that avoids undesirable directions and exploits a new strategy to prevent sudden increments of objective function values in nonmonotone trust region techniques. Global convergence of this algorithm is investigated under some mild...
Milanka Gardašević Filipović (2009)
The Yugoslav Journal of Operations Research
Similarity:
Nedeljko Ostojić, Dušan Starčević (2000)
The Yugoslav Journal of Operations Research
Similarity:
Liu, Hailin, Cheng, Sui Sun, Li, Xiaoyong (2011)
Applied Mathematics E-Notes [electronic only]
Similarity:
Zainab Hassan Ahmed, Mohamed Hbaib, Khalil K. Abbo (2024)
Applications of Mathematics
Similarity:
The Fletcher-Reeves (FR) method is widely recognized for its drawbacks, such as generating unfavorable directions and taking small steps, which can lead to subsequent poor directions and steps. To address this issue, we propose a modification to the FR method, and then we develop it into the three-term conjugate gradient method in this paper. The suggested methods, named ``HZF'' and ``THZF'', preserve the descent property of the FR method while mitigating the drawbacks. The algorithms...
Mera, Nicolae S. (2005)
Acta Universitatis Apulensis. Mathematics - Informatics
Similarity:
Yuan, Gonglin (2009)
International Journal of Mathematics and Mathematical Sciences
Similarity: