Constrained Lipschitzian error bounds and noncritical solutions of constrained equations
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Publication:2047264
DOI10.1007/s11228-020-00568-8zbMath1475.90110OpenAlexW3101821604MaRDI QIDQ2047264
M. Jelitte, Andreas Fischer, Alexey F. Izmailov
Publication date: 19 August 2021
Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11228-020-00568-8
constrained equation(piecewise) semidifferentiable functionsconstrained error boundcritical and noncritical solutions
Methods of quasi-Newton type (90C53) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)
Uses Software
Cites Work
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- An LP-Newton method: nonsmooth equations, KKT systems, and nonisolated solutions
- Levenberg--Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints
- A Levenberg-Marquardt method with approximate projections
- Nonsmooth analysis
- A Levenberg-Marquardt algorithm for unconstrained multicriteria optimization
- Sensitivity analysis for nonsmooth generalized equations
- Superlinear convergence of a stabilized SQP method to a degenerate solution
- Stabilized sequential quadratic programming
- Error bounds in mathematical programming
- Local behavior of an iterative framework for generalized equations with nonisolated solutions
- Critical multipliers in variational systems via second-order generalized differentiation
- Stability of possibly nonisolated solutions of constrained equations, with applications to complementarity and equilibrium problems
- A unified local convergence analysis of inexact constrained Levenberg-Marquardt methods
- Critical Lagrange multipliers: what we currently know about them, how they spoil our lives, and what we can do about it
- Comments on: Critical Lagrange multipliers: what we currently know about them, how they spoil our lives, and what we can do about it
- A family of Newton methods for nonsmooth constrained systems with nonisolated solutions
- Critical solutions of nonlinear equations: stability issues
- Weak Sharp Minima in Mathematical Programming
- Newton's Method for B-Differentiable Equations
- Clarke's tangent cones and the boundaries of closed sets in Rn
- Some continuity properties of polyhedral multifunctions
- Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
- Variational Analysis
- A special complementarity function revisited
- Modified Wilson's Method for Nonlinear Programs with Nonunique Multipliers
- Variational Analysis of Regular Mappings
- Newton-Type Methods for Optimization and Variational Problems
- Convergence conditions for Newton-type methods applied to complementarity systems with nonisolated solutions