Journal of Applied Mathematics

The Explicit Expression of the Drazin Inverse and Its Application

Xiaoji Liu, Shaowu Huang, Liang Xu, and Yaoming Yu

Full-text: Open access

Abstract

We give explicit expressions of (P±Q)d of two matrices P and Q, in terms of P, Q, Pd, and Qd, (P±I)d, under the condition that PQ=P, and apply the result to finding an explicit representation for the Drazin inverse of some 2×2 block matrix.

Article information

Source
J. Appl. Math., Volume 2013 (2013), Article ID 479260, 7 pages.

Dates
First available in Project Euclid: 14 March 2014

Permanent link to this document
https://projecteuclid.org/euclid.jam/1394808126

Digital Object Identifier
doi:10.1155/2013/479260

Mathematical Reviews number (MathSciNet)
MR3100835

Zentralblatt MATH identifier
06950697

Citation

Liu, Xiaoji; Huang, Shaowu; Xu, Liang; Yu, Yaoming. The Explicit Expression of the Drazin Inverse and Its Application. J. Appl. Math. 2013 (2013), Article ID 479260, 7 pages. doi:10.1155/2013/479260. https://projecteuclid.org/euclid.jam/1394808126


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