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Drazin Inverse

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Generalized Inverses: Theory and Computations

Part of the book series: Developments in Mathematics ((DEVM,volume 53))

Abstract

In Chap. 1, we discussed the Moore-Penrose inverse and the \(\{i, j, k\}\) inverses which possess some “inverse-like” properties. The \(\{ i, j, k \}\) inverses provide some types of solution, or the least-square solution, for a system of linear equations just as the regular inverse provides a unique solution for a nonsingular system of linear equations. Hence the \(\{ i, j, k \}\) inverses are called equation solving inverses. However, there are some properties of the regular inverse matrix that the \(\{ i, j, k \}\) inverses do not possess.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Shanghai Normal University, Shanghai, China

    Guorong Wang

  2. Department of Mathematics, Fudan University, Shanghai, China

    Yimin Wei

  3. Department of Computing and Software, McMaster University, Hamilton, ON, Canada

    Sanzheng Qiao

Authors
  1. Guorong Wang
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  2. Yimin Wei
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  3. Sanzheng Qiao
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Correspondence to Guorong Wang .

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Wang, G., Wei, Y., Qiao, S. (2018). Drazin Inverse. In: Generalized Inverses: Theory and Computations. Developments in Mathematics, vol 53. Springer, Singapore. https://doi.org/10.1007/978-981-13-0146-9_2

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