full
search.png

Search

close.png

Cancel

arrow
Volume 18, Issue 6
Two Algorithms for LC1 Unconstrained Optimization

Wen-Yu Sun, R. J. B. de Sampaio & Jin-Yun Yuan

J. Comp. Math., 18 (2000), pp. 621-632.

Published online: 2000-12

Preview Full PDF 2651 25235

Cited by

google scholar semantic scholar
Export citation
  • Abstract

In this paper we present two algorithms for $LC^1$ unconstrained optimization problems which use the second order Dini upper directional derivative. These methods are simple and easy to perform. We discuss the related properties of the iteration function, and establish the global and superlinear convergence of our methods.  

  • Keywords

Nonsmooth optimization, Directional derivative, Newton-like method, Convergence, Trust region method.

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JCM-18-621, author = {Sun , Wen-YuSampaio , R. J. B. de and Yuan , Jin-Yun}, title = {Two Algorithms for LC1 Unconstrained Optimization}, journal = {Journal of Computational Mathematics}, year = {2000}, volume = {18}, number = {6}, pages = {621--632}, abstract = {

In this paper we present two algorithms for $LC^1$ unconstrained optimization problems which use the second order Dini upper directional derivative. These methods are simple and easy to perform. We discuss the related properties of the iteration function, and establish the global and superlinear convergence of our methods.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9072.html} }
TY - JOUR T1 - Two Algorithms for LC1 Unconstrained Optimization AU - Sun , Wen-Yu AU - Sampaio , R. J. B. de AU - Yuan , Jin-Yun JO - Journal of Computational Mathematics VL - 6 SP - 621 EP - 632 PY - 2000 DA - 2000/12 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9072.html KW - Nonsmooth optimization, Directional derivative, Newton-like method, Convergence, Trust region method. AB -

In this paper we present two algorithms for $LC^1$ unconstrained optimization problems which use the second order Dini upper directional derivative. These methods are simple and easy to perform. We discuss the related properties of the iteration function, and establish the global and superlinear convergence of our methods.  

Sun , Wen-YuSampaio , R. J. B. de and Yuan , Jin-Yun. (2000). Two Algorithms for LC1 Unconstrained Optimization. Journal of Computational Mathematics. 18 (6). 621-632. doi:
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard