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Drazin Inverses

In: Algebraic Theory of Generalized Inverses

Author

Listed:
  • Jianlong Chen

    (Southeast University, School of Mathematics)

  • Xiaoxiang Zhang

    (Southeast University, School of Mathematics)

Abstract

For complex matrices, we know from Chap. 3 that the group inverse only exists for matrices with index no more than 1, so it is not suitable for the more common class of matrices whose index exceed 1. In this chapter, we introduce the Drazin inverse which is a slight generalization of the group inverse.

Suggested Citation

  • Jianlong Chen & Xiaoxiang Zhang, 2024. "Drazin Inverses," Springer Books, in: Algebraic Theory of Generalized Inverses, chapter 0, pages 143-208, Springer.
  • Handle: RePEc:spr:sprchp:978-981-99-8285-1_4
    DOI: 10.1007/978-981-99-8285-1_4
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