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math.OC2021
Explicit continuation methods with L-BFGS updating formulas for linearly constrained optimization problems
Xin-long Luo, Jia-hui Lv, Hang Xiao
This paper considers an explicit continuation method with the trusty time-stepping scheme and the limited-memory BFGS (L-BFGS) updating formula (Eptctr) for the linearly constraine…
math.OC2020
Explicit pseudo-transient continuation and the trust-region updating strategy for unconstrained optimization
Xin-long Luo, Hang Xiao, Jia-hui Lv +1
This paper considers an explicit continuation method and the trust-region updating strategy for the unconstrained optimization problem. Moreover, in order to improve its computatio…
math.OC2020
Primal-dual path-following methods and the trust-region updating strategy for linear programming with noisy data
Xin-long Luo, Yi-yan Yao
In this article, we consider the primal-dual path-following method and the trust-region updating strategy for the standard linear programming problem. For the rank-deficient proble…