两个幂等算子线性组合的Drazin逆

乌云昭拉, 阿拉坦仓, 海国君

数学学报 ›› 2016, Vol. 59 ›› Issue (3) : 369-376.

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数学学报 ›› 2016, Vol. 59 ›› Issue (3) : 369-376. DOI: 10.12386/A2016sxxb0035
论文

两个幂等算子线性组合的Drazin逆

    乌云昭拉1, 阿拉坦仓2, 海国君1
作者信息 +

On the Drazin Inverse of Linear Combinations Associated with Two Idempotents

    Wuyunzhaola1, Alatancang2, Guo Jun HAI1
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摘要

利用空间分解的技巧,在条件PQP=QPQ下,得到两个幂等算子PQ的多线性组合aP+bQ+cPQ+dQP+ePQP的Drazin逆的表达式.

Abstract

We using the technique of space decompositions,the representation of the Drazin inverse for multiplicative combination aP+bQ+cPQ+dQP+ePQP associated with two idempotents P and Q is obtained under the condition PQP=QPQ.

关键词

Drazin逆 / 群逆 / 幂等算子 / 线性组合

Key words

Drazin inverse / group inverse / idempotent operator / linear combination

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导出引用
乌云昭拉, 阿拉坦仓, 海国君. 两个幂等算子线性组合的Drazin逆. 数学学报, 2016, 59(3): 369-376 https://doi.org/10.12386/A2016sxxb0035
Wuyunzhaola, Alatancang, Guo Jun HAI. On the Drazin Inverse of Linear Combinations Associated with Two Idempotents. Acta Mathematica Sinica, Chinese Series, 2016, 59(3): 369-376 https://doi.org/10.12386/A2016sxxb0035

参考文献

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基金

国家自然科学基金(11371185, 11362011); 教育部高等院校博士学科点专项基金(20111501110001);内蒙古自然科学基金(2013ZD01, 2015MS0117)

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