Branch-locking AD techniques for nonsmooth composite functions and nonsmooth implicit functions
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Publication:4685601
DOI10.1080/10556788.2017.1341506zbMath1401.90270OpenAlexW2725102413MaRDI QIDQ4685601
Publication date: 9 October 2018
Published in: Optimization Methods and Software (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10556788.2017.1341506
sensitivity analysisgeneralized derivativesnonsmooth functionsimplicit functionsvector forward AD mode
Derivative-free methods and methods using generalized derivatives (90C56) Newton-type methods (49M15) Nonsmooth analysis (49J52) Numerical methods for variational inequalities and related problems (65K15)
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Cites Work
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- On Lipschitz optimization based on gray-box piecewise linearization
- An LP-Newton method: nonsmooth equations, KKT systems, and nonisolated solutions
- Generalized derivatives for solutions of parametric ordinary differential equations with non-differentiable right-hand sides
- Dynamics and bifurcations of non-smooth mechanical systems
- Generalized derivatives of differential-algebraic equations
- Generalized derivatives of dynamic systems with a linear program embedded
- Derived eigenvalues of symmetric matrices, with applications to distance geometry
- A minimal set-valued strong derivative for vector-valued Lipschitz functions
- Solving mixed integer nonlinear programs by outer approximation
- TASS: the toolkit for accurate scientific software
- FEVS: a functional equivalence verification suite for high-performance scientific computing
- Solving piecewise linear systems in ABS-normal form
- Methods of descent for nondifferentiable optimization
- A nonsmooth version of Newton's method
- Lexicographic differentiation of nonsmooth functions
- On stable piecewise linearization and generalized algorithmic differentiation
- Introduction to Piecewise Differentiable Equations
- Adjoint Mode Computation of Subgradients for McCormick Relaxations
- Evaluating an Element of the Clarke Generalized Jacobian of a Piecewise Differentiable Function
- Evaluating an element of the Clarke generalized Jacobian of a composite piecewise differentiable function
- The Art of Differentiating Computer Programs
- The Linear Complementarity Problem
- A vector forward mode of automatic differentiation for generalized derivative evaluation
- Evaluating Derivatives
- McCormick-Based Relaxations of Algorithms
- EXTENSION OF NEWTON AND QUASI-NEWTON METHODS TO SYSTEMS OF PC^1 EQUATIONS
- Computability of global solutions to factorable nonconvex programs: Part I — Convex underestimating problems
- Convergence Analysis of Some Algorithms for Solving Nonsmooth Equations
- Finite-Dimensional Variational Inequalities and Complementarity Problems
