A modified pseudo-Newton algorithm for equality constrained nonlinear programming problems that uses curvilinear searches and a step size rule is described. The algorithm chooses a curvilinear search according to the constraint violations. The step size rule is based on an implicit formula that is ...
Finally, some numerical simulations are included to evaluate the efficiency of the proposed algorithm.doi:10.1080/10556788.2017.1332619Abdi, FatemehShakeri, FatemehOptimization Methods & Software
2.2 Solution Algorithm The flow solver utilizes a structured multiblock grid. The solution algorithm is implicit pseudo-time integration for which Eq.(3) is linearized around time-level n to obtain the following equation (4)VUn+1−UnΔt=VΔUΔt=Rn+∂R∂UΔU where the subscript i has...
By using the truncated distribution instead of the order statistics used in the earlier algorithm, the proposed algorithm achieves signiiScant speed up and accuracy. We also develop a scheme for deciding the transition probability matrix based on the Newton optimization technique, that is one of ...
Let $$g_t$$ be a loop in the space of monic complex polynomials in one variable of fixed degree n. If the roots of $$g_t$$ are distinct for all t, they for
From the numerical experiments in Section 4, we see that Algorithm 2.1 has own features for solving the steady state of ordinary differential equations, in comparison with the traditional optimization method, the ODE method, and the classic first-order pseudo-transient continuation method. Specifically...
IMPORTANT NOTE: only runphaseLD.plonsinglechromosome at a time, otherwise the algorithm will be extremely slow as it saves a fair amount of information in memory. Running on more than one chromosome will also result in the haplotyping window to consider windows spanning multiple chromosomes as it...
Random numbers are the critical components of most security algorithms. Generating random numbers from a natural source or any deterministic algorithm suff
20. An optimized Cluster Move MC algorithm has been also proposed, in order to efficiently explore the highly-diluted regime21. The behavior of dipolar fluids has also been investigated under the effect of an external fields. Using a model of charged soft dumbbells in MD simulations inspired in...
Statistical inference in random-effects models (or mixed-effects models) (Laird and Ware, 1982, McCulloch and Searle, 2001) starts from parameter estimation step, in which maximum likelihood estimation (MLE) is achieved via numerical optimization methods, such as Newton–Raphson algorithm and its ...