@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} }