1,917 research outputs found
Entropic regularization approach for mathematical programs with equilibrium constraints
A new smoothing approach based on entropic perturbation is proposed for solving mathematical programs with equilibrium constraints. Some of the desirable properties of the smoothing function are shown. The viability of the proposed approach is supported by a computational study on a set of well-known test problems.Entropic regularization;Smoothing approach;Mathematical programs with equilibrium constraints
Entropic Regularization Approach for Mathematical Programs with Equilibrium Constraints
A new smoothing approach based on entropic perturbationis proposed for solving mathematical programs withequilibrium constraints. Some of the desirableproperties of the smoothing function are shown. Theviability of the proposed approach is supported by acomputationalstudy on a set of well-known test problems.mathematical programs with equilibrium constraints;entropic regularization;smoothing approach
Global continuation of monotone wavefronts
In this paper, we answer the question about the criteria of existence of
monotone travelling fronts for the monostable (and, in general,
non-quasi-monotone) delayed reaction-diffusion equations -smooth is supposed to satisfy
together with other monostability restrictions.
Our theory covers the two most important cases: Mackey-Glass type diffusive
equations and KPP-Fisher type equations. The proofs are based on a variant of
Hale-Lin functional-analytic approach to the heteroclinic solutions where
Lyapunov-Schmidt reduction is realized in a `mobile' weighted space of
-smooth functions. This method requires a detailed analysis of a family of
associated linear differential Fredholm operators: at this stage, the discrete
Lyapunov functionals by Mallet-Paret and Sell are used in an essential way.Comment: 21 pages, 3 figures, submitte
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