| Solvability of semidefinite complementarity problems | |
| Zhang, Liping | |
| 2010-05-06 ; 2010-05-06 | |
| 关键词 | semidefinite complementarity problem exceptional family existence theorem INTERIOR-POINT METHODS VARIATIONAL INEQUALITY PROBLEMS EXCEPTIONAL FAMILIES EXISTENCE THEOREMS ELEMENTS Mathematics, Applied |
| 中文摘要 | The concept of exceptional family has been introduced to study the existence theorem for nonlinear complementarity problems and variational inequality problems. We describe extensions of such concepts to complementarity problems defined over the cone of block-diagonal symmetric positive semidefinite real matrices. Using the concept of exceptional family, we propose a very general existence theorem for the semidefinite complementarity problem. Extensions of Isac - Carbone's condition, Karamardian's condition, properness and coercivity are also introduced. Several applications of the main results are presented, and we prove that without exceptional family is a sufficient and necessary condition for the solvability of pseudomonotone semidefinite complementarity problems. (C) 2007 Elsevier Inc. All rights reserved. |
| 语种 | 英语 ; 英语 |
| 出版者 | ELSEVIER SCIENCE INC ; NEW YORK ; 360 PARK AVE SOUTH, NEW YORK, NY 10010-1710 USA |
| 内容类型 | 期刊论文 |
| 源URL | [http://hdl.handle.net/123456789/13714]  |
| 专题 | 清华大学 |
| 推荐引用方式 GB/T 7714 | Zhang, Liping. Solvability of semidefinite complementarity problems[J],2010, 2010. |
| APA | Zhang, Liping.(2010).Solvability of semidefinite complementarity problems.. |
| MLA | Zhang, Liping."Solvability of semidefinite complementarity problems".(2010). |
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