Newton Differentiability of Convex Functions in Normed Spaces and of a Class of Operators
DOI10.1137/21M1449531zbMath1502.46030OpenAlexW4281728744WikidataQ114073964 ScholiaQ114073964MaRDI QIDQ5081779
Michael Ulbrich, Martin Brokate
Publication date: 17 June 2022
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/21m1449531
Newton derivativeconvex functionsubdifferentialmeasurable selectorsemismooth functionBouligand derivativemaximum functional
Newton-type methods (49M15) Set-valued operators (47H04) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Convexity of real functions of several variables, generalizations (26B25) Derivatives of functions in infinite-dimensional spaces (46G05)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convex functions, monotone operators and differentiability.
- Tame functions are semismooth
- Handbook of applied analysis
- Nonsmooth approach to optimization problems with equilibrium constraints. Theory, applications and numerical results
- Nonsmooth equations in optimization. Regularity, calculus, methods and applications
- Correction to: ``Approximations and generalized Newton methods
- A nonsmooth version of Newton's method
- Nonsmooth Equations: Motivation and Algorithms
- A Simplified Approach to Semismooth Newton Methods in Function Space
- Lagrange Multiplier Approach to Variational Problems and Applications
- PDE-Constrained Optimization Subject to Pointwise Constraints on the Control, the State, and Its Derivative
- Upper Semi-Continuity of Subdifferential Mappings
- Semismooth Newton Methods for Operator Equations in Function Spaces
- The Primal-Dual Active Set Strategy as a Semismooth Newton Method
- Strong Semismoothness of Eigenvalues of Symmetric Matrices and Its Application to Inverse Eigenvalue Problems
- Smoothing Methods and Semismooth Methods for Nondifferentiable Operator Equations
- Interpolation Theory
- Semismoothness of Spectral Functions
- Convergence Analysis of Some Algorithms for Solving Nonsmooth Equations
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- Newton and Bouligand derivatives of the scalar play and stop operator
- Spectral Operators of Matrices: Semismoothness and Characterizations of the Generalized Jacobian
- Discontinuous Galerkin Finite Element Approximation of Hamilton--Jacobi--Bellman Equations with Cordes Coefficients
