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In this paper we present a new BFGS method for solving unconstrained optimization problems, using a modified rational approximation model The idea is to improve the Barzilai and Borwein approximation (BBA) [27] by incorporating a new parameter Under certain conditions the global convergent result of the proposed method is established The numerical results have shown that, the new method is promising and outperforms other classical methods Besides, the new method was used to solve data from Covid-19 and the performance was compared with Least Square Method (LSM) The outcome has shown that the new method has less relative error and can be used in place of LSM in regression analysis © 2020, Research Publication All rights reserved
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Kamfa et al. (2020) studied this question.
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