On connections between approximate second-order directional derivative and second-order Dini derivative for convex functions

DOI10.1007/BF01581270zbMath0782.49009OpenAlexW2064205779MaRDI QIDQ1803610

Shunsuke Shiraishi

Publication date: 29 June 1993

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01581270

zbMATH Keywords

approximate second-order directional derivativereal-valued convex functionsecond-order Dini derivative

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Fréchet and Gateaux differentiability in optimization (49J50)

Cites Work

• Some remarks on the construction of higher order algorithms in convex optimization
• Limiting behaviour of the approximate first order and second order directional derivatives for a convex function
• On the differential properties of the support function of the∈-subdifferential of a convex function
• Approximating a Second-Order Directional Derivative for Nonsmooth Convex Functions

This page was built for publication: On connections between approximate second-order directional derivative and second-order Dini derivative for convex functions