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Forward order law for the generalized inverses of multiple matrix product

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Abstract

The generalized inverses have many important applications in the aspects of theoretic research and numerical computations and therefore they were studied by many authors. In this paper we get some necessary and sufficient conditions of the forward order law for 1-inverse of multiple matrices productsA =A 1 A 2 … A n by using the maximal rank of generalized Schur complement.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Lanzhou University, 730000, Lanzhou, P. R. China

    Zhiping Xiong & Bing Zheng

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  1. Zhiping Xiong
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  2. Bing Zheng
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Correspondence to Zhiping Xiong.

Additional information

This work was partially supported by the key Laboratory of Mathematics for Nonlinear Sciences at Fudan University during Bing Zheng’s visit, the start-up fund of Lanzhou University and the Natural Science Foundation of Gansu Province (3ZS051-A25-020), P. R. China.

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Xiong, Z., Zheng, B. Forward order law for the generalized inverses of multiple matrix product. J. Appl. Math. Comput. 25, 415–424 (2007). https://doi.org/10.1007/BF02832366

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  • DOI: https://doi.org/10.1007/BF02832366

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