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关于加权 Drazin 逆反序律的一个注记(英文)

On the reverse order law for the W-weighted Drazin inverse
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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. 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].
出处 《黑龙江大学自然科学学报》 CAS 2004年第4期89-94,共6页 Journal of Natural Science of Heilongjiang University
基金 Supported by Science Found of Shanghai Municipal Commission of Eduction Project 03DZ04
关键词 MOORE-PENROSE逆 DRAZIN逆 加权DRAZIN逆 指标 反序律 Moore-Penrose inverse Drazin inverse weighted Drazin inverse index of a matrix reverse order law
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参考文献18

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