三矩阵乘积的 Moore-Penrose 逆被引量：3

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摘要本文以矩阵的秩为工具给出了三矩阵乘积 ABC 的 Moore-Penrose 逆满足逆序律(ABC)+=C+B+A+的充要条件,同时也给出了该结果的若干推论及应用.

作者田永革

机构地区郑州测绘学校

出处《数学的实践与认识》 CSCD 北大核心 1992年第1期64-70,共7页 Mathematics in Practice and Theory

关键词三矩阵乘积 M-P逆运算逆序律秩

同被引文献22

1曹广喜.加权Moore-Penrose逆的反序律[J].南京师大学报（自然科学版）,2004,27(4):36-38. 被引量：2
2陈永林.计算加权MP逆的递推与反逆推方法.南京师范大学学报：自然科学版,1986,9(4):31-39.
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7Sun W, Wei Y. Triple reverse-rder law for weighted generalized inverses [ J ]. Applied Mathematics and Computation,2002, 125:221 - 229.
8Xiong Z P,Jiang C F. The mixed-type reverse order laws for weighted generalized inverses of a triple matrix product [ J ]. Journal of Applied Mathematics and Computing,2009,29:53 -66.
9Ben-Israel A, Greville T N E. Generalized Inverses: Theory and Applications[M]. New York:Wiley,1974.
10Campbell S L, Meyer C D. Generalized Inverses of Linear Transformations[M]. London:Pitman,1979.

数学的实践与认识

1992年第1期

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