摘要
设G是对角线元为幂等矩阵的2×2分块方阵,利用矩阵理论和方法,研究并得到了对角线元为幂等矩阵的2×2分块方阵G的k次数量幂等性,确定了方程Gk=λG有解的充要条件,其中k=2,3.
Let G be the 2×2 square matrix whose diagonal elements are idempotent matrices. By the matrix theory and methods, the k scalar - idempotent properties of the matrix G were studied, and the necessary and sufficient conditions for the existence of solution of equations G^k = A G were obtained . where k = 2.3.
出处
《海南热带海洋学院学报》
2016年第5期50-54,共5页
Journal of Hainan Tropical Ocean University
基金
三亚市院地科技合作项目(2015YD24)
关键词
数量幂等矩阵
分块矩阵
数量幂等性
scalar- idempotent matrix
block matrix
scalar- idempotent property
