Some characterizations for SOC-monotone and SOC-convex functions

DOI10.1007/s10898-008-9373-zzbMath1189.26011OpenAlexW2125968326MaRDI QIDQ1037358

Jein-Shan Chen, Xin Chen, Jia-Wei Zhang, Shaohua Pan

Publication date: 16 November 2009

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-008-9373-z

Mathematics Subject Classification ID

Convex programming (90C25) Continuity and differentiation questions (26B05) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48)

Related Items (9)

Monotonicity and circular cone monotonicity associated with circular cones ⋮ Differentiability v.s. convexity for complementarity functions ⋮ Some inequalities for means defined on the Lorentz cone ⋮ Parabolic second-order directional differentiability in the Hadamard sense of the vector-valued functions associated with circular cones ⋮ The \(H\)-differentiability and calmness of circular cone functions ⋮ The P-class and Q-class functions on symmetric cones ⋮ SOC-monotone and SOC-convex functions vs. matrix-monotone and matrix-convex functions ⋮ On unitary elements defined on Lorentz cone and their applications ⋮ Interior proximal methods and central paths for convex second-order cone programming

Cites Work

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• Analysis of nonsmooth vector-valued functions associated with second-order cones.
• Monotone functions on formally real Jordan algebras
• Differential analysis of matrix convex functions
• Some results on matrix monotone functions
• Modified barrier functions (theory and methods)
• Merit functions for semi-definite complementarity problems
• Über monotone Matrixfunktionen
• Smoothing Functions for Second-Order-Cone Complementarity Problems
• The convex and monotone functions associated with second-order cone
• A Class of Interior Proximal-Like Algorithms for Convex Second-Order Cone Programming
• Matrix Analysis
• Positive Definite Functions and Operator Inequalities
• Convex and monotone operator functions
• Semismooth Matrix-Valued Functions

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