环上幂等矩阵线性组合的Drazin逆 |
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引用本文: | 庄桂芬,廖祖华. 环上幂等矩阵线性组合的Drazin逆[J]. 数学的实践与认识, 2014, 0(6) |
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作者姓名: | 庄桂芬 廖祖华 |
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作者单位: | 江南大学理学院; |
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基金项目: | 国家自然科学基金(61170121) |
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摘 要: | 给出了环R上幂等矩阵P,Q满足不同条件:(1)PQP=0;(2)PQP=PQ;(3)PQ=QP;(4)PQP=P时P+aQ的Drazin逆的表达式,推广了一些已有的结论.
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关 键 词: | 环 幂等矩阵 Drazin逆 线性组合 |
The Drazin Inverse of the Linear Combinations of Two Idempotent Matricesover Rings |
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Abstract: | For two idempotent matrices P,Q over an arbitrary ring R,the Drazin inverses of the linear combinations P + aQ are obtained under the following conditions:(1)PQP =0;(2)PQP = PQ;(3)PQ = QP;(4)PQP = P,and extend some known results. |
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Keywords: | ring idempotent matrix Drazin inverse linear combination |
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