full
search.png

Search

close.png

Cancel

arrow
Volume 23, Issue 5
Compute a Celis-Dennis-Tapia Step

Gai-Di Li & Ya-Xiang Yuan

J. Comp. Math., 23 (2005), pp. 463-478.

Published online: 2005-10

Preview Full PDF 2569 26655

Cited by

google scholar semantic scholar
Export citation
  • Abstract

In this paper, we present an algorithm for the CDT subproblem. This problem stems from computing a trust region step of an algorithm, which was first proposed by Celis, Dennis and Tapia for equality constrained optimization. Our algorithm considers general case of the CDT subproblem, and convergence of the algorithm is proved. Numerical examples are also provided.

  • Keywords

The CDT subproblem, Local solution, Global solution, Dual function.

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JCM-23-463, author = {Gai-Di Li and Ya-Xiang Yuan}, title = {Compute a Celis-Dennis-Tapia Step}, journal = {Journal of Computational Mathematics}, year = {2005}, volume = {23}, number = {5}, pages = {463--478}, abstract = {

In this paper, we present an algorithm for the CDT subproblem. This problem stems from computing a trust region step of an algorithm, which was first proposed by Celis, Dennis and Tapia for equality constrained optimization. Our algorithm considers general case of the CDT subproblem, and convergence of the algorithm is proved. Numerical examples are also provided.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8832.html} }
TY - JOUR T1 - Compute a Celis-Dennis-Tapia Step AU - Gai-Di Li & Ya-Xiang Yuan JO - Journal of Computational Mathematics VL - 5 SP - 463 EP - 478 PY - 2005 DA - 2005/10 SN - 23 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8832.html KW - The CDT subproblem, Local solution, Global solution, Dual function. AB -

In this paper, we present an algorithm for the CDT subproblem. This problem stems from computing a trust region step of an algorithm, which was first proposed by Celis, Dennis and Tapia for equality constrained optimization. Our algorithm considers general case of the CDT subproblem, and convergence of the algorithm is proved. Numerical examples are also provided.

Gai-Di Li and Ya-Xiang Yuan. (2005). Compute a Celis-Dennis-Tapia Step. Journal of Computational Mathematics. 23 (5). 463-478. doi:
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard