| 数量幂等矩阵的秩等式的进一步研究 |
| |
| 引用本文： | 冯晓霞,陈梅香,晏瑜敏,黄少武,杨忠鹏.数量幂等矩阵的秩等式的进一步研究[J].北华大学学报(自然科学版),2012,13(2):141-148. |
| |
| 作者姓名： | 冯晓霞 陈梅香 晏瑜敏 黄少武 杨忠鹏 |
| |
| 作者单位： | 漳州师范学院数学系,福建漳州,363000;福建省高校重点实验室--莆田学院应用数学实验室,福建莆田351100 莆田学院数学系,福建莆田351100;广西民族大学数学与计算机学院,广西南宁,530006 |
| |
| 基金项目： | 基金项目:福建省自然科学基金项目，2008年福建省高校服务海西建设重点项目，福建省教育厅科研基金项目，莆田学院教改项目 |
| |
| 摘 要： | 当存在非零数λ与μ使P2=λP,Q2=μQ时,称P,Q都是数量幂等矩阵.数量λ,μ对数量幂等矩阵P,Q起到基本的确定作用.从寻找与数量λ,μ无关的数量幂等矩阵P,Q的运算的秩等式出发,得到了与λ,μ的"大小"无关的数量幂等矩阵P,Q的和、差、换位子和Jordan积的秩等式,所得结论是已有结果的有益拓展.
|
| 关 键 词： | 幂等矩阵 数量幂等矩阵 秩等式 换位子 Jordan积 |
Further Researches on Rank Equalities of Scalar -potent Matrix |
| |
| FENG Xiao-xia,CHEN Mei-xiang,YAN Yu-min,HUANG Shao-wu,YANG Zhong-peng.Further Researches on Rank Equalities of Scalar -potent Matrix[J].Journal of Beihua University(Natural Science),2012,13(2):141-148. |
| |
| Authors: | FENG Xiao-xia CHEN Mei-xiang YAN Yu-min HUANG Shao-wu YANG Zhong-peng |
| |
| Institution: | 2,3(1.Department of Mathematics,Zhangzhou Normal University,Zhangzhou 363000,China; 2.Applied Mathematics Laboratory of Putian University Key Laboratory in Universities of Fujian Province,Putian 351100,China; 3.Department of Mathematics,Putian University,Putian 351100,China; 4.College of Mathematics and Computer Science,Guangxi University for Nationalities,Nanning 530006,China) |
| |
| Abstract: | If there exist nonzero numbers λ and μ,such that P2=λP,Q2=μQ,then P and Q are said to be scalar-potent matrices,where the scalars λ and μ play a basic role.Started from searching the rank equality of the operation of scalar-potent matrices independently of the scalars λ and μ,we obtain the ones for the sum,difference,commutator and Jordan product of scalar-potent matrices P and Q,regardless of the size of λ,μ.These results are useful expand for given results. |
| |
| Keywords: | idempotent matrix scalar-potent matrix rank equality commutator Jordan product |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
