### Abstract

In the paper, we present algorithms for minimization of d.c. functions (difference of two convex functions) on the whole space$$R^n$$. Many nonconvex optimization problems can be described using these functions. D.c. functions are used in various applications especially in optimization, but the problem to characterize them is not trivial, due to the fact that these functions are not differentiable and certainly are not convex. The class of these functions is contained in the class of quasidifferentiable functions. Proposed algorithms are based on known necessary optimality conditions and d.c. duality. Convergence to$$\inf $$ -stationary points is established under fairly general natural assumptions.

Original language | English |
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Title of host publication | Computational Science and Its Applications- ICCSA 2019 - 19th International Conference, Proceedings |

Subtitle of host publication | 19th International Conference Saint Petersburg, Russia, July 1–4, 2019 Proceedings, Part IV |

Editors | Sanjay Misra, Osvaldo Gervasi, Beniamino Murgante, Elena Stankova, Vladimir Korkhov, Carmelo Torre, Eufemia Tarantino, Ana Maria A.C. Rocha, David Taniar, Bernady O. Apduhan |

Publisher | Springer Nature |

Pages | 667–677 |

Number of pages | 11 |

Volume | 11622 |

ISBN (Print) | 9783030243043 |

DOIs | |

Publication status | Published - 2019 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 11622 LNCS |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Scopus subject areas

- Theoretical Computer Science
- Computer Science(all)

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## Cite this

*Computational Science and Its Applications- ICCSA 2019 - 19th International Conference, Proceedings: 19th International Conference Saint Petersburg, Russia, July 1–4, 2019 Proceedings, Part IV*(Vol. 11622, pp. 667–677). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11622 LNCS). Springer Nature. https://doi.org/10.1007/978-3-030-24305-0_49