Journal of East China Normal University(Natural Sc ›› 2007, Vol. 2007 ›› Issue (3): 11-15.

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Algebraic Perturbation Theory for Some Generalized Inverse(Chinese)

SHENG Xing-ping1,2, CHEN Guo-liang2   

  1. 1. Department of Mathematics, Fuyang Normal College, Fuyang Anhui 236032, China; 2. Department of Mathematics, East China Normal University, Shanghai 200062, China
  • Received:2007-01-03 Revised:2007-04-03 Online:2007-05-25 Published:2007-05-25
  • Contact: SHENG Xing-ping1

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Abstract: This paper introduced several properties of α-β generalized inverse, then used these properties to discuss the algebraic perturbation theory for the α-β generalized inverse in three kinds. The expression of the algebraic perturbation of α-β generalized inverse were presented.This paper introduced several properties of α-β generalized inverse, then used these properties to discuss the algebraic perturbation theory for the α-β generalized inverse in three kinds. The expression of the algebraic perturbation of α-β generalized inverse were presented.

Key words: algebraic perturbation, matrix inverse, α-β generalized inverses, algebraic perturbation, matrix inverse

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