Newton methods for solving nonsmooth equations via a new subdifferential

DOI10.1007/s001860100150zbMath1031.90069OpenAlexW2010874536MaRDI QIDQ1397010

Yan Gao

Publication date: 16 July 2003

Published in: Mathematical Methods of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s001860100150

zbMATH Keywords

subdifferentialnonsmooth equationsNewton methods

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Numerical computation of solutions to systems of equations (65H10) Methods of quasi-Newton type (90C53)

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Some superlinearly convergent inexact generalized Newton method for solving nonsmooth equations ⋮ Solving the semismooth equivalence problem ⋮ A generalized Jacobian based Newton method for semismooth block-triangular system of equations ⋮ Nonsmooth equations approach to a constrained minimax problem. ⋮ Inexact-Newton method for solving operator equations in infinite-dimensional spaces ⋮ A minimax model and arithmetic for initial emission permits ⋮ Some quadrature-based versions of the generalized Newton method for solving nonsmooth equations ⋮ Computation of generalized differentials in nonlinear complementarity problems ⋮ On the computation of an element of Clarke generalized Jacobian for a vector-valued max function ⋮ Some Quadrature-Based Versions of the Generalized Newton Method for Solving Unconstrained Optimization Problems

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