Regular splitting and potential reduction method for solving quadratic programming problem with box constraints
文献类型：期刊论文
| 作者 | Wei, ZL |
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2002-11-01 |
| 卷号 | 20期号:6页码:643-652 |
| 关键词 | quadratic programming problem regular splitting potential reduction algorithm complexity analysis |
| ISSN号 | 0254-9409 |
| 英文摘要 | 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 E-minimum solution or an epsilon-KKT solution by the algorithm is bounded by O(n(2)/epsilon log 1/epsilon + nlog(1 + root2n)), and the total running time is bounded by O(n(2) (n + logn + log 1(epsilon)/epsilon)(n(epsilon)/epsilon log 1/epsilon + logn)) arithmetic operations. |
| 语种 | 英语 |
| WOS记录号 | WOS:000179620000009 |
| 出版者 | VSP BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17225]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Comput Math & Sci Engn Comput, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wei, ZL. Regular splitting and potential reduction method for solving quadratic programming problem with box constraints[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2002,20(6):643-652. |
| APA | Wei, ZL.(2002).Regular splitting and potential reduction method for solving quadratic programming problem with box constraints.JOURNAL OF COMPUTATIONAL MATHEMATICS,20(6),643-652. |
| MLA | Wei, ZL."Regular splitting and potential reduction method for solving quadratic programming problem with box constraints".JOURNAL OF COMPUTATIONAL MATHEMATICS 20.6(2002):643-652. |
入库方式： OAI收割
来源：数学与系统科学研究院
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