Primal-Dual Symmetric Intrinsic Methods for Finding Antiderivatives of Cyclically Monotone Operators

DOI10.1137/060675794zbMath1189.47050OpenAlexW2128808131MaRDI QIDQ3544226

Yves Lucet, Heinz H. Bauschke, Shawn Xianfu Wang

Publication date: 5 December 2008

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/060675794

zbMATH Keywords

convex functionmaximal monotone operatorsubdifferential operatorFenchel conjugateFitzpatrick functioncyclically monotone operatorantiderivativeproximal average\(n\)-cyclically monotone operatorRockafellar functionRockafellar's antiderivative

Mathematics Subject Classification ID

Convex programming (90C25) Monotone operators and generalizations (47H05) Convex functions and convex programs in convex geometry (52A41) Convexity of real functions of several variables, generalizations (26B25)

Related Items

Self-Dual Smooth Approximations of Convex Functions via the Proximal Average ⋮ Graph-Matrix Calculus for Computational Convex Analysis ⋮ The Brézis-Browder Theorem Revisited and Properties of Fitzpatrick Functions of Order n ⋮ A class of non-associated materials: \(n\)-monotone materials -- Hooke's law of elasticity revisited ⋮ Compensated Convexity Methods for Approximations and Interpolations of Sampled Functions in Euclidean Spaces: Theoretical Foundations ⋮ Autoconjugate representers for linear monotone operators ⋮ Computing the conjugate of convex piecewise linear-quadratic bivariate functions ⋮ Minimal antiderivatives and monotonicity ⋮ The resolvent average on symmetric cones ⋮ Convexity of the proximal average ⋮ The NC-proximal average for multiple functions ⋮ Computing the partial conjugate of convex piecewise linear-quadratic bivariate functions ⋮ Techniques and Open Questions in Computational Convex Analysis ⋮ The resolvent average for positive semidefinite matrices ⋮ New variational principles for solving extended Dirichlet-Neumann problems ⋮ The kernel average for two convex functions and its application to the extension and representation of monotone operators

This page was built for publication: Primal-Dual Symmetric Intrinsic Methods for Finding Antiderivatives of Cyclically Monotone Operators