A nonmonotone accelerated proximal gradient method with variable stepsize strategy for nonsmooth and nonconvex minimization problems

Liu, Hongwei; Wang, Ting; Liu, Zexian

doi:10.1007/s10898-024-01366-4

J Glob Optim

2024

DOI: 10.1007/s10898-024-01366-4

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A nonmonotone accelerated proximal gradient method with variable stepsize strategy for nonsmooth and nonconvex minimization problems

Hongwei Liu,

Ting Wang,

Zexian Liu

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Cited by 1 publication

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Nonmonotone variable metric Barzilai-Borwein method for composite minimization problem

Guo,

Xu,

Zhu

et al. 2024

MATH

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<abstract><p>In this study, we develop a nonmonotone variable metric Barzilai-Borwein method for minimizing the sum of a smooth function and a convex, possibly nondifferentiable, function. At each step, the descent direction is obtained by taking the difference between the minimizer of the scaling proximal function and the current iteration point. An adaptive nonmonotone line search is proposed for determining the step length along this direction. We also show that the limit point of the iterates sequence is a stationary point. Numerical results with parallel magnetic resonance imaging, Poisson, and Cauchy noise deblurring demonstrate the effectiveness of the new algorithm.</p></abstract>

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Nonmonotone variable metric Barzilai-Borwein method for composite minimization problem

Guo,

Xu,

Zhu

et al. 2024

MATH

View full text Add to dashboard Cite

show abstract

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A nonmonotone accelerated proximal gradient method with variable stepsize strategy for nonsmooth and nonconvex minimization problems

Cited by 1 publication

References 42 publications

Nonmonotone variable metric Barzilai-Borwein method for composite minimization problem

Nonmonotone variable metric Barzilai-Borwein method for composite minimization problem

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