full
search.png

Search

close.png

Cancel

arrow
Volume 20, Issue 6
Regular Splitting and Potential Reduction Method for Solving Quadratic Programming Problem with Box Constraints

Zi-Luan Wei

J. Comp. Math., 20 (2002), pp. 643-652.

Published online: 2002-12

Preview Full PDF 2680 25092

Cited by

google scholar semantic scholar
Export citation
  • Abstract

A regular splitting and potential reduction method is presented for solving a quadratic programming problem with box constraints (QPB) in this paper. A general algorithm is designed to solve the QPB problem and generate a sequence of iterative points. We show that the number of iterations to generate an $\epsilon$-minimum solution or an $\epsilon$-KKT solution by the algorithm is bounded by $O(\frac{n^2}{\epsilon}\log{\frac{1}{\epsilon}}+n\log{(1+\sqrt{2n})})$, and the total running time is bounded by $O(n^2(n+\log n+\log \frac{1}{\epsilon})(\frac{n}{\epsilon}\log{\frac{1}{\epsilon}}+\log n))$ arithmetic operations.

  • Keywords

Quadratic programming problem, Regular splitting, Potential reduction algorithm, Complexity analysis.

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JCM-20-643, author = {Wei , Zi-Luan}, title = {Regular Splitting and Potential Reduction Method for Solving Quadratic Programming Problem with Box Constraints}, journal = {Journal of Computational Mathematics}, year = {2002}, volume = {20}, number = {6}, pages = {643--652}, abstract = {

A regular splitting and potential reduction method is presented for solving a quadratic programming problem with box constraints (QPB) in this paper. A general algorithm is designed to solve the QPB problem and generate a sequence of iterative points. We show that the number of iterations to generate an $\epsilon$-minimum solution or an $\epsilon$-KKT solution by the algorithm is bounded by $O(\frac{n^2}{\epsilon}\log{\frac{1}{\epsilon}}+n\log{(1+\sqrt{2n})})$, and the total running time is bounded by $O(n^2(n+\log n+\log \frac{1}{\epsilon})(\frac{n}{\epsilon}\log{\frac{1}{\epsilon}}+\log n))$ arithmetic operations.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8949.html} }
TY - JOUR T1 - Regular Splitting and Potential Reduction Method for Solving Quadratic Programming Problem with Box Constraints AU - Wei , Zi-Luan JO - Journal of Computational Mathematics VL - 6 SP - 643 EP - 652 PY - 2002 DA - 2002/12 SN - 20 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8949.html KW - Quadratic programming problem, Regular splitting, Potential reduction algorithm, Complexity analysis. AB -

A regular splitting and potential reduction method is presented for solving a quadratic programming problem with box constraints (QPB) in this paper. A general algorithm is designed to solve the QPB problem and generate a sequence of iterative points. We show that the number of iterations to generate an $\epsilon$-minimum solution or an $\epsilon$-KKT solution by the algorithm is bounded by $O(\frac{n^2}{\epsilon}\log{\frac{1}{\epsilon}}+n\log{(1+\sqrt{2n})})$, and the total running time is bounded by $O(n^2(n+\log n+\log \frac{1}{\epsilon})(\frac{n}{\epsilon}\log{\frac{1}{\epsilon}}+\log n))$ arithmetic operations.

Wei , Zi-Luan. (2002). Regular Splitting and Potential Reduction Method for Solving Quadratic Programming Problem with Box Constraints. Journal of Computational Mathematics. 20 (6). 643-652. doi:
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard