On local behavior of Newton-type methods near critical solutions of constrained equations
DOI10.1007/s10957-023-02367-1MaRDI QIDQ6644233
Mikhail V. Solodov, A. F. Izmailov
Publication date: 27 November 2024
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
2-regularitynonlinear complementarity problemsingular solutionsNewton-type methodsLevenberg-Marquardt methodGauss-Newton methodLP-Newton methodcritical solutionsconstrained equations
Equations involving nonlinear operators (general) (47J05) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Numerical methods for variational inequalities and related problems (65K15)
Cites Work
- Unnamed Item
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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
- Starlike domains of convergence for Newton's method at singularities
- Critical solutions of nonlinear equations: local attraction for Newton-type methods
- Local attractors of Newton-type methods for constrained equations and complementarity problems with nonisolated solutions
- A unified local convergence analysis of inexact constrained Levenberg-Marquardt methods
- Unit stepsize for the Newton method close to critical solutions
- Constrained Lipschitzian error bounds and noncritical solutions of constrained equations
- Newton-type methods near critical solutions of piecewise smooth nonlinear equations
- Critical solutions of nonlinear equations: stability issues
- On computation of limiting coderivatives of the normal-cone mapping to inequality systems and their applications
- Complete Characterizations of Tilt Stability in Nonlinear Programming under Weakest Qualification Conditions
- Extremum conditions for smooth problems with equality-type constraints
- An Algorithm for Least-Squares Estimation of Nonlinear Parameters
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- Covering on a Convex Set in the Absence of Robinson's Regularity
- The Theory of 2-Regularity for Mappings with Lipschitzian Derivatives and its Applications to Optimality Conditions
- A method for the solution of certain non-linear problems in least squares
- Error bounds for 2-regular mappings with Lipschitzian derivatives and their applications
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