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20162023
most citedGradient methods exploiting spectral properties

3 citations · 4 across the 4 of their papers we have counts for

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12 papers · 1 filter

math.OC2023

An Improved Spectral Conjugate Gradient Algorithm Based on A Modified Wolfe Line Search

Hao Wu, Liping Wang, Hongchao Zhang

In this paper, we combine the th-order Taylor expansion of the objective function with cubic Hermite interpolation conditions. Then, we derive a series of modified secant equati…

math.OC2022

A Gradient-Based Implementation of the Polyhedral Active Set Algorithm

William W. Hager, Hongchao Zhang

The Polyhedral Active Set Algorithm (PASA) is designed to optimize a general nonlinear function over a polyhedron. Phase one of the algorithm is a nonmonotone gradient projection a…

math.OC2021

Golden ratio primal-dual algorithm with linesearch

Xiaokai Chang, Junfeng Yang, Hongchao Zhang

Golden ratio primal-dual algorithm (GRPDA) is a new variant of the classical Arrow-Hurwicz method for solving structured convex optimization problem, in which the objective functio…

math.OC2021

Convergence on a symmetric accelerated stochastic ADMM with larger stepsizes

Jianchao Bai, Deren Han, Hao Sun +1

In this paper, we develop a symmetric accelerated stochastic Alternating Direction Method of Multipliers (SAS-ADMM) for solving separable convex optimization problems with linear c…

math.OC2020

An Inexact Accelerated Stochastic ADMM for Separable Convex Optimization

Jianchao Bai, William W. Hager, Hongchao Zhang

An inexact accelerated stochastic Alternating Direction Method of Multipliers (AS-ADMM) scheme is developed for solving structured separable convex optimization problems with linea…

math.OC2020★ 1 cited

On the acceleration of the Barzilai-Borwein method

Yakui Huang, Yu-Hong Dai, Xin-Wei Liu +1

The Barzilai-Borwein (BB) gradient method is efficient for solving large-scale unconstrained problems to the modest accuracy and has a great advantage of being easily extended to s…