J4 ›› 2010, Vol. 45 ›› Issue (10): 24-26.

• Articles • Previous Articles     Next Articles

A splitting for the W-weighted Drazin inverse of a linear operator on Banach space

HU Chun-mei,  LIU Xiao-ji*   

  1. College of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning 530006, Guangxi, China
  • Received:2009-05-20 Online:2010-10-16 Published:2010-10-19

Abstract:

 A splitting and its relative iteration for calculating the W-weighted Drazin inverse of a linear operator on Banach space are presented. A necessary and sufficient condition and the error estimate are given for converging of the iteration to the W-weighted Drazin inverse.

Key words: W-weighted Drazin inverse; splitting method; convergence

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