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Weighted generalized inverses of partitioned matrices in Banachiewicz-Schur form

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Abstract

In this paper the conditions under which the weighted generalized inversesA (1,3M), A(1,4N), A DgM,N andA d,W can be expressed in Banachiewicz-Schur form are considered and some interesting results are established. These results contribute to verify recent results obtained by J. K. Baksalary and G. P. Styan [2] and Y. Wei [15] and these extend their works.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, University of Nis, Visegradska 33, P.O. Box 224, 18000, Nis, Serbia

    Dragana S. Cvetković

  2. Department of Mathematics, Lanzhou University, 730000, Lanzhou, P. R. China

    Bing Zheng

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  1. Dragana S. Cvetković
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  2. Bing Zheng
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Correspondence to Dragana S. Cvetković.

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Cvetković, D.S., Zheng, B. Weighted generalized inverses of partitioned matrices in Banachiewicz-Schur form. J. Appl. Math. Comput. 22, 175–184 (2006). https://doi.org/10.1007/BF02832045

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  • DOI: https://doi.org/10.1007/BF02832045

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