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- research-articleNovember 2024
Conditions on Twice Continuous Codifferentiability of Quasidifferentiable Functions
Journal of Optimization Theory and Applications (JOPT), Volume 203, Issue 3Pages 2848–2869https://doi.org/10.1007/s10957-024-02549-5AbstractThe authors study the twice codifferentiable functions introduced by Professor V.F. Demyanov and how to calculate their second codifferentials. We proved that a twice hypodifferentiable positively homogeneous (p.h.) function of the second order is ...
- articleDecember 2002
The Use of Certain Equations of Mathematical Physics in Optimization of a Function on a Set. II
Automation and Remote Control (ARCO), Volume 63, Issue 12Pages 1891–1899https://doi.org/10.1023/A:1021631112889The use of Helmholtz (diffraction and diffusion) and heat conductivity equations for global optimization is described in Part I. Here numerical realization of these ideas is studied and the superlinear rate of convergence is demonstrated. Numerical ...
- articleOctober 2002
The Use of Certain Equations of Mathematical Physics in Optimization of a Function on a Set. I
Automation and Remote Control (ARCO), Volume 63, Issue 11Pages 1764–1774https://doi.org/10.1023/A:1020951230751The results of application of potential theory to optimization are used to extend the use of (Helmholtz) diffusion and diffraction equations for optimization of their solutions i>ý(x, ý) with respect to both i>x, and i>ý. If the aim function is modified ...
