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- W4320170269 endingPage "115086" @default.
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- W4320170269 abstract "This study refers to a class of nonconvex nonseparable optimization problems with linear constraints and closed convex set constraints. Firstly, the equivalent transformation of the discussed problem is carried out by introducing the indicator function and the auxiliary variable. Secondly, to solve the equivalent problem of transformation, an improved Bregman-type Peaceman–Rachford splitting method is proposed by improving the Lagrange multiplier updating technique in the traditional splitting algorithm. Under the general assumptions, the global convergence of the proposed algorithm is proven. Furthermore, if the augmented Lagrange function satisfies the Kurdyka–Łojasiewicz property, the strong convergence of the proposed algorithm is established. Finally, some preliminary numerical results are shown to indicate the effectiveness of the proposed algorithm." @default.
- W4320170269 created "2023-02-13" @default.
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- W4320170269 date "2023-07-01" @default.
- W4320170269 modified "2023-10-18" @default.
- W4320170269 title "Convergence analysis of an improved Bregman-type Peaceman–Rachford splitting algorithm for nonconvex nonseparable linearly constrained optimization problems" @default.
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- W4320170269 doi "https://doi.org/10.1016/j.cam.2023.115086" @default.
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