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نمایش تعداد 1-10 از 15
Accuracy and computational efficiency improvement of ray tracing using line search theory
shooting-and-bouncing-ray (SBR) method, that is most of the rays emitted from the source do not reach the receiver whereas all of them must be traced. Our proposed method solves this problem in a two-step
procedure based on the idea of line search theory. In the first...
A descent hybrid modification of the Polak–Ribiere–Polyak conjugate gradient method
Hybridizing self-adjusting approach of Dong et al. and three-term formulation of Zhang et al., a nonlinear conjugate gradient method is proposed. The method reduces to the Polak–Ribière–Polyak method under the exact line search and satisfies...
Two Adaptive Dai–Liao Nonlinear Conjugate Gradient Methods
Following recent attempts to find appropriate choices for parameter of the nonlinear conjugate gradient method proposed by Dai and Liao, two adaptive versions of the method are proposed based on a matrix analysis and using ...
An extension of the quasi-Newton method for minimizing locally Lipschitz functions
We present a method to minimize locally Lipschitz functions. At first, a local quadratic model is developed to approximate a locally Lipschitz function. This model is constructed by using the ϵ-subdifferential. We minimize ...