A conjugate gradient method with sufficient descent and global convergence for unconstrained nonlinear optimization.
Liu, Hailin, Cheng, Sui Sun, Li, Xiaoyong (2011)
Applied Mathematics E-Notes [electronic only]
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Liu, Hailin, Cheng, Sui Sun, Li, Xiaoyong (2011)
Applied Mathematics E-Notes [electronic only]
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Nada I. Đuranović-Miličić (2005)
The Yugoslav Journal of Operations Research
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International Journal of Mathematics and Mathematical Sciences
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Applications of Mathematics
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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...
Nada I. Žuranović-Miličić (2000)
The Yugoslav Journal of Operations Research
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Discrete Dynamics in Nature and Society
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Mathematical Problems in Engineering
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Khun, Jiří, Šimeček, Ivan
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Parallelization is one of possible approaches for obtaining better results in terms of algorithm performance and overcome the limits of the sequential computation. In this paper, we present a study of parallelization of the opt-aiNet algorithm which comes from Artificial Immune Systems, one part of large family of population based algorithms inspired by nature. The opt-aiNet algorithm is based on an immune network theory which incorporates knowledge about mammalian immune systems in...