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Generalized convexities and semismoothness of nonsmooth functions
(Turun yliopisto, 2023-02-09)
This paper discusses generalizations of convexities for nonsmooth functions, or functions that are not continuously differentiable. The paper starts with some basic definitions of group theory. Next we define a convex set ...
Solving Systems of Nonlinear Equations using Hybrid Optimization Methods
(2025-04-25)
This licentiate thesis considers various hybrid methods for solving systems of nonlinear equations. Extensive numerical experiments confirm a research hypothesis that one particular form of hybridization of the conjugate ...