| 关于加权Drazin逆反序律的一个注记 |
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| 引用本文： | 徐兆亮,王国荣,顾超.关于加权Drazin逆反序律的一个注记[J].黑龙江大学自然科学学报,2004,21(4):89-94. |
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| 作者姓名： | 徐兆亮 王国荣 顾超 |
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| 作者单位： | 上海海事大学,基础科学部,上海,200135;上海师范大学,数理信息学院,上海,200234;上海师范大学,数理信息学院,上海,200234;上海立信会计学院,数统部,上海,201600 |
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| 基金项目： | Supported by Science Found of Shanghai Municipal Commission of Eduction Project 03DZ04 |
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| 摘 要： | 利用矩阵的秩方法,给出了矩阵的加权Drazin逆的反序律成立的一个充分必要条件.推广了文献8]中的结论,文献9]中的主要结果(当n=2时)也是本结论的特殊情形.
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| 关 键 词： | Moore-Penrose逆 Drazin逆 加权Drazin逆 指标 反序律 |
On the reverse order law for the W-weighted Drazin inverse |
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| XU Zhao-liang,WANG Guo-rong,GU Chao.On the reverse order law for the W-weighted Drazin inverse[J].Journal of Natural Science of Heilongjiang University,2004,21(4):89-94. |
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| Authors: | XU Zhao-liang WANG Guo-rong GU Chao |
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| Abstract: | By using the rank methods of matrix, the necessary and su?cient condition is given for reverse order law W(AB)d,WW = (W2Bd,W2W2)(W1Ad,W1W1) to hold for W-weighted Drazin inverses, where W = W2W1. This result is the extension of the main result proposed by 8] and the result (when n=2) proposed by 9]. |
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| Keywords: | Moore-Penrose inverse Drazin inverse weighted Drazin inverse index of a matrix reverse order law |
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