The Levenberg–Marquardt method: an overview of modern convergence theories and more

A Fischer, AF Izmailov, MV Solodov - Computational Optimization and …, 2024 - Springer
Abstract The Levenberg–Marquardt method is a fundamental regularization technique for
the Newton method applied to nonlinear equations, possibly constrained, and possibly with …

First-and Second-Order Conditions for Stability Properties and Error Bounds for Generalized Equations, and Applications

M Jelitte - 2024 - tud.qucosa.de
Abstract (EN) Many real-world problems can be modeled by generalized equations. The
solution of the latter can be a challenging task, and typically requires the use of some …

[PDF][PDF] On the computation of restricted normal cones

M Jelitte - Operations Research Proceedings, 2023 - optimization-online.org
Restricted normal cones are of interest, for instance, in the theory of local error bounds,
where they have recently been used to characterize the existence of a constrained …

[PDF][PDF] Numerical Methods for Constrained Systems of Equations

J Lellmann, F Mannel - mic.uni-luebeck.de
Constrained systems of equations are an important class of problems for whose solution
various families of numerical methods exist. Different methods are suited for different kinds …

[PDF][PDF] Second-Order Contingent Derivatives: Computation and Application

M Jelitte - optimization-online.org
It is known that second-order (Studniarski) contingent derivatives can be used to compute
tangents to the solution set of a generalized equation when standard (first-order) regularity …