Acta mathematica scientia,Series A

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On the Weighted Moore-Penrose Inverse of the Matrices

Liu Xiaoji   

  1. College of Mathematics and Computer, Guangxi University for Nationaliteis, Nanning 530006
  • Received:2005-08-09 Revised:2006-09-01 Online:2006-12-25 Published:2006-12-25
  • Contact: Liu Xiaoji

Abstract: A sufficient and necessary condition for the existence of the weighted Moore-Penrose inverse of a matrix and its expression are given by using the generalized singular value decomposition.

Key words: Matrices, Moore-Penrose inverse, Generalized singular value decomposition

CLC Number: 

  • 15A09
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