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Calculus Rules on the Approximate Second-Order Directional Derivative of a Convex Function

https://doi.org/10.1137/0322025
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf00938593openalex-snapshot
Approximate first-order and second-order directional derivatives of a marginal function in convex optimization
inferredcites →https://doi.org/10.1007/bf00968185openalex-snapshot
ε-Subdifferentials and ε-optimality
inferredcites →https://doi.org/10.1007/bf01585110openalex-snapshot
On the differential properties of the support function of the∈-subdifferential of a convex function
inferredcites →https://doi.org/10.1007/bfb0066253openalex-snapshot
The approximate first-order and second-order directional derivatives for a convex function
inferredcites →https://doi.org/10.1016/0362-546x(82)90106-7openalex-snapshot
Limiting behaviour of the approximate first order and second order directional derivatives for a convex function
inferredcites →https://doi.org/10.1137/0320057openalex-snapshot
Approximating a Second-Order Directional Derivative for Nonsmooth Convex Functions
inferredcites →https://doi.org/10.1515/9781400873173openalex-snapshot
Convex Analysis

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/bf00938593openalex-snapshot
Approximate first-order and second-order directional derivatives of a marginal function in convex optimization
inferred← citeshttps://doi.org/10.1007/bf00940934openalex-snapshot
First-order and second-order ?-directional derivatives of a marginal function in convex programming with linear inequality constraints
inferred← citeshttps://doi.org/10.1007/bf01588789openalex-snapshot
A successive quadratic programming method for a class of constrained nonsmooth optimization problems
inferred← citeshttps://doi.org/10.1007/bfb0066253openalex-snapshot
The approximate first-order and second-order directional derivatives for a convex function
inferred← citeshttps://doi.org/10.1016/0022-247x(87)90202-2openalex-snapshot
Second-order directional derivatives for nonsmooth functions
inferred← citeshttps://doi.org/10.1016/0022-247x(90)90004-yopenalex-snapshot
Direct and inverse addition in convex analysis and applications
inferred← citeshttps://doi.org/10.1016/0362-546x(85)90030-6openalex-snapshot
On second derivatives for nonsmooth functions
inferred← citeshttps://doi.org/10.1016/0362-546x(89)90090-4openalex-snapshot
Calculus rules on a new set—valued second order derivative for convex functions
inferred← citeshttps://doi.org/10.1016/0362-546x(94)00209-zopenalex-snapshot
On second-order directional derivatives
inferred← citeshttps://doi.org/10.1016/j.jocs.2024.102217openalex-snapshot
A dual number formulation to efficiently compute higher order directional derivatives
inferred← citeshttps://doi.org/10.1016/s0294-1449(16)30401-2openalex-snapshot
Maximal monotone relations and the second derivatives of nonsmooth functions
inferred← citeshttps://doi.org/10.1080/01630568508816186openalex-snapshot
Directional derivates in minimax problems(∗)
inferred← citeshttps://doi.org/10.1080/02331939708844311openalex-snapshot
Second order approximations and dual necessary optimality conditions
inferred← citeshttps://doi.org/10.1090/s0002-9947-1988-0936806-9openalex-snapshot
First- and Second-Order Epi-Differentiability in Nonlinear Programming
inferred← citeshttps://doi.org/10.1090/s0002-9947-1990-1031242-0openalex-snapshot
Generalized Second Derivatives of Convex Functions and Saddle Functions
inferred← citeshttps://doi.org/10.1090/s0002-9947-1992-1088019-1openalex-snapshot
Generalized Second-Order Derivatives of Convex Functions in Reflexive Banach Spaces
inferred← citeshttps://doi.org/10.1090/s0002-9947-1994-1145959-4openalex-snapshot
Second Order Differentiability of Convex Functions in Banach Spaces
inferred← citeshttps://doi.org/10.1137/0328045openalex-snapshot
A Generalized Second-Order Derivative in Nonsmooth Optimization
inferred← citeshttps://doi.org/10.1287/moor.13.1.124openalex-snapshot
Second Order Directional Derivatives in Parametric Optimization Problems
inferred← citeshttps://doi.org/10.4153/cjm-1993-050-7openalex-snapshot
A Calculus of EPI-Derivatives Applicable to Optimization
inferred← citeshttps://doi.org/10.5109/13417openalex-snapshot
$ \varepsilon $-DIRECTIONAL DERIVATIVE OF A MARGINAL FUNCTION IN PARAMETRIZED CONVEX PROGRAMMING
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