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- W4288784966 abstract "We consider proximal gradient methods for minimizing a composite function of a differentiable function and a convex function. To accelerate the general proximal gradient methods, we focus on proximal quasi-Newton type methods based on proximal mappings scaled by quasi-Newton matrices. Although it is usually difficult to compute the scaled proximal mappings, applying the memoryless symmetric rank-one (SR1) formula makes this easier. Since the scaled (quasi-Newton) matrices must be positive definite, we develop an algorithm using the memoryless SR1 formula based on a modified spectral scaling secant condition. We give the subsequential convergence property of the proposed method for general objective functions. In addition, we show the R-linear convergence property of the method under a strong convexity assumption. Finally, some numerical results are reported." @default.
- W4288784966 created "2022-07-30" @default.
- W4288784966 creator A5002569473 @default.
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- W4288784966 date "2023-01-01" @default.
- W4288784966 modified "2023-10-01" @default.
- W4288784966 title "A proximal quasi-Newton method based on memoryless modified symmetric rank-one formula" @default.
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- W4288784966 doi "https://doi.org/10.3934/jimo.2022123" @default.
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