FORWARD ORDER LAW FOR THE GENERALIZED INVERSES OF MULTIPLE MATRIX PRODUCT

  • Xiong, Zhipin (School of Mathematics and Statistics, Lanzhou University) ;
  • Zheng, Bing (School of Mathematics and Statistics, Lanzhou University)
  • Published : 2007.09.30

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 products $A\;=\;A_1A_2{\cdots}A_n$ by using the maximal rank of generalized Schur complement.

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