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- W3204006283 abstract "This paper provides a self-contained ordinary differential equation solver approach for separable convex optimization problems. A novel primal-dual dynamical system with built-in time rescaling factors is introduced, and the exponential decay of a tailored Lyapunov function is established. Then several time discretizations of the continuous model are considered and analyzed via a unified discrete Lyapunov function. Moreover, two families of accelerated proximal alternating direction methods of multipliers are obtained, and nonergodic optimal mixed-type convergence rates shall be proved for the primal objective residual, the feasibility violation and the Lagrangian gap. Finally, numerical experiments are provided to validate the practical performances." @default.
- W3204006283 created "2021-10-11" @default.
- W3204006283 creator A5010084112 @default.
- W3204006283 creator A5047892429 @default.
- W3204006283 date "2021-09-27" @default.
- W3204006283 modified "2023-09-23" @default.
- W3204006283 title "A unified differential equation solver approach for separable convex optimization: splitting, acceleration and nonergodic rate" @default.
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