The rank identities and its applications about the product and sum of three matrices on arbitrary division ring

摘要：

Based on the rank identities of the product and sum of three matrices on arbitrary division ring obtained by the block elementary transformation, we prove the rank identity about idempotent matrices A, B still holds under the more weak conditions A2 = A or B2 = B, which rank identity is derived by Y.Liu and C. G. Cao recently, thus improve the corresponding results on the complex number field of Y. Tian and Styan.

关键词： division ring idempotent matriz rank identity rank equation block matriz

作者: Xiaoxia Feng Zhongpeng Yang

作者单位: Dept.of Math., Zhangzhou Normal University, Zhangzhou, Fujian, 36300,China Dept.of Math., Putian University, Putian, Fujian, 351100,China

会议类型: 国际会议

会议名称: The Third International Workshop on Applied Matriz Theory(第三届国际矩阵分析与应用会议)

会议地点: 杭州

会议语种:英文

页码: 418-421

在线出版日期: 2009-07-09（万方平台首次上网日期，不代表论文的发表时间）