Set-valued approximations and Newton's methods
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Publication:1572685
DOI10.1007/s101070050028zbMath0951.65058OpenAlexW2053924315MaRDI QIDQ1572685
Publication date: 21 July 2000
Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s101070050028
Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Nonsmooth analysis (49J52)
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On semiregularity of mappings ⋮ Constructing a sequence of discrete Hessian matrices of an \(SC^{1}\) function uniformly convergent to the generalized Hessian matrix ⋮ A vector forward mode of automatic differentiation for generalized derivative evaluation ⋮ Generalized derivatives for solutions of parametric ordinary differential equations with non-differentiable right-hand sides ⋮ Implicit smoothing and its application to optimization with piecewise smooth equality constraints ⋮ Adaptive smoothing method, deterministically computable generalized Jacobians, and the Newton method ⋮ Unnamed Item ⋮ Continuous approximations to generalized jacobians ⋮ Point-Based Set-Valued Approximations, C -Differential Operators and Applications ⋮ Inexact Newton Methods and Dennis--Moré Theorems for Nonsmooth Generalized Equations
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