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math.OC2019
Stabilized Barzilai-Borwein method
Oleg Burdakov, Yu-Hong Dai, Na Huang
The Barzilai-Borwein (BB) method is a popular and efficient tool for solving large-scale unconstrained optimization problems. Its search direction is the same as for the steepest d…
math.OC2017
Multipoint secant and interpolation methods with nonmonotone line search for solving systems of nonlinear equations
Oleg Burdakov, Ahmad Kamandi
Multipoint secant and interpolation methods are effective tools for solving systems of nonlinear equations. They use quasi-Newton updates for approximating the Jacobian matrix. Owi…