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20152023
most citedAn inexact Douglas-Rachford splitting method for solving absolute value equations

33 citations · 103 across the 18 of their papers we have counts for

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6 papers · 1 filter

math.NA2023

On greedy multi-step inertial randomized Kaczmarz method for solving linear systems

Yansheng Su, Deren Han, Yun Zeng +1

The multi-step inertial randomized Kaczmarz (MIRK) method is an iterative method for solving large-scale linear systems. In this paper, we enhance the MIRK method by incorporating…

math.NA2023★ 2 cited

Stochastic dual coordinate descent with adaptive heavy ball momentum for linearly constrained convex optimization

Yun Zeng, Deren Han, Yansheng Su +1

The problem of finding a solution to the linear system with certain minimization properties arises in numerous scientific and engineering areas. In the era of big data, th…

math.NA2023★ 2 cited

On the convergence analysis of the greedy randomized Kaczmarz method

Yansheng Su, Deren Han, Yun Zeng +1

In this paper, we analyze the greedy randomized Kaczmarz (GRK) method proposed in Bai and Wu (SIAM J. Sci. Comput., 40(1):A592--A606, 2018) for solving linear systems. We develop m…

math.NA2023

Randomized Kaczmarz method with adaptive stepsizes for inconsistent linear systems

Yun Zeng, Deren Han, Yansheng Su +1

We investigate the randomized Kaczmarz method that adaptively updates the stepsize using readily available information for solving inconsistent linear systems. A novel geometric in…

math.NA2021★ 1 cited

An inexact framework of the Newton-based matrix splitting iterative method for the generalized absolute value equation

Dongmei Yu, Cairong Chen, Deren Han

An inexact framework of the Newton-based matrix splitting (INMS) iterative method is developed to solve the generalized absolute value equation, whose exact version was proposed by…

math.NA2020★ 15 cited

Optimal parameter for the SOR-like iteration method for solving the system of absolute value equations

Cairong Chen, Dongmei Yu, Deren Han

The SOR-like iteration method for solving the absolute value equations~(AVE) of finding a vector such that with is investigated. The co…