The “Second Derivative” of a Non-Differentiable Function and its Use in Interval Optimization Methods

Authors

  • Bartłomiej Jacek Kubica

DOI:

https://doi.org/10.26636/jtit.2011.4.1182

Keywords:

Dirac delta, distributions, generalized derivative, interval computations, interval Newton method, non-differentiable optimization

Abstract

The paper presents an idea to use weak derivatives in interval global optimization. It allows using the Newton operator to narrow domains of non-differentiable functions. Preliminary computational experiments are also presented.

Downloads

Download data is not yet available.

Downloads

Published

2011-12-30

Issue

No. 4 (2011)

Section

ARTICLES FROM THIS ISSUE

License

Copyright (c) 2023 Journal of Telecommunications and Information Technology

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
B. J. Kubica, “The ‘Second Derivative’ of a Non-Differentiable Function and its Use in Interval Optimization Methods”, JTIT, vol. 46, no. 4, pp. 81–85, Dec. 2011, doi: 10.26636/jtit.2011.4.1182.