The deconvolution operation in convex analysis: an introduction

DOI10.1007/BF02366565zbMath0867.49014OpenAlexW2047075189MaRDI QIDQ1905179

Jean-Baptiste Hiriart-Urruty

Publication date: 8 February 1996

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02366565

zbMATH Keywords

convex functionsdeconvolutionconvex analysisinfimal convolutionepigraphs

Mathematics Subject Classification ID

Nonsmooth analysis (49J52)

Related Items (5)

Time-Bounded Verification of CTMCs against Real-Time Specifications ⋮ Epi-convergence: the Moreau envelope and generalized linear-quadratic functions ⋮ Compensated Convexity Methods for Approximations and Interpolations of Sampled Functions in Euclidean Spaces: Theoretical Foundations ⋮ ENVELOPES FOR SETS AND FUNCTIONS: REGULARIZATION AND GENERALIZED CONJUGACY ⋮ Proximal-type methods with generalized Bregman functions and applications to generalized fractional programming

Cites Work

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• Equations de convolution et formes quadratiques. (Convolution equations and quadratic forms)
• How to regularize a difference of convex functions
• A General Formula on the Conjugate of the Difference of Functions
• La soustraction parallèle d’operateurs Interprétée comme déconvolution de formes quadratiques convexes
• A formula on the approximate subdifferential of the difference of convex functions
• Équations inf-convolutives et conjugaison de Moreau-Fenchel
• PARALLEL ADDITION AND PARALLEL SUBTRACTION OF OPERATORS
• A formula on the subdifferential of the deconvolution of convex functions

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