4.4 Article

A note on additive results for the Drazin inverse

Journal

LINEAR & MULTILINEAR ALGEBRA
Volume 59, Issue 12, Pages 1319-1329

Publisher

TAYLOR & FRANCIS LTD
DOI: 10.1080/03081087.2010.496110

Keywords

Drazin inverse; additive result; commutativity; eigenvalue

Categories

Funding

  1. National Natural Science Foundation of China [10871051]
  2. Shanghai Science & Technology Committee [09DZ2272900]
  3. Shanghai Education Committee
  4. Ministry of Education [20090071110003]
  5. Ph.D. Programs Foundation of Ministry of Education of China [20094407120001]

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For two square matrices that commute, we present some additive results for the Drazin inverse. We also give the application to relative perturbation of eigenvalues when the perturbed matrix commutes with the original matrix and perturbation bounds of the Drazin inverse.

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