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一类复矩阵线性组合的幂等性

Idempotency of a Class of Linear Combination of the Complex Matrices
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摘要 讨论了关于复矩阵的一类特殊线性组合的幂等性问题。当组合系数为复数时,给出了矩阵线性组合是幂等的两个充要条件。并在所得结论的基础上,考虑组合系数为实数,研究了矩阵线性组合是幂等阵时,复矩阵及其特征值所具备的特性。 This paper discussed the problem for the idempotency of a special class of linear combination of complex matrices. When the combination coefficients were complex numbers, two sufficient and necessary conditions for the idempotency of the linear combination of matrices were given. Then based on the conclusions that had been gained, the characteristics of the complex matrix and its eigenvalues were studied by considering the combination coefficients which were real numbers, when the linear combination of matrices was idempotent matrix.
作者 万文婷
机构地区 荆楚理工学院数理学院
出处 《科技通报》 北大核心 2014年第11期1-4,8,共5页 Bulletin of Science and Technology
基金 湖北省教育厅科研项目(B200767002) 荆楚理工学院科研项目(ZR201211)
关键词 幂等矩阵 特征值 HERMITE矩阵 正规矩阵 idempotent matrix eigenvalue Hermite matrix normal matrix
分类号 O151.21 [理学—基础数学]
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参考文献14

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二级参考文献8

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科技通报
2014年 第11期

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