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• W2737608279 abstract "In part I we considered the problem of convergence to a saddle point of a concave-convex function via gradient dynamics and an exact characterization was given to their asymptotic behaviour. In part II we consider a general class of subgradient dynamics that provide a restriction in an arbitrary convex domain. We show that despite the nonlinear and non-smooth character of these dynamics their $omega$-limit set is comprised of solutions to only linear ODEs. In particular, we show that the latter are solutions to subgradient dynamics on affine subspaces which is a smooth class of dynamics the asymptotic properties of which have been exactly characterized in part I. Various convergence criteria are formulated using these results and several examples and applications are also discussed throughout the manuscript." @default.
• W2737608279 created "2017-07-31" @default.
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• W2737608279 creator A5091550374 @default.
• W2737608279 date "2017-07-23" @default.
• W2737608279 modified "2023-09-27" @default.
• W2737608279 title "Stability and instability in saddle point dynamics Part II: The subgradient method" @default.
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• W2737608279 hasPublicationYear "2017" @default.
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