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Published in:
Equation Solving Generalized Inverses Read chapter Read first chapter

2018 | OriginalPaper | Chapter

2. Drazin Inverse

Authors : Guorong Wang, Yimin Wei, Sanzheng Qiao

Published in: Generalized Inverses: Theory and Computations

Publisher: Springer Singapore

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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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previous chapter Equation Solving Generalized Inverses
next chapter Generalization of the Cramer’s Rule and the Minors of the Generalized Inverses
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Metadata
Title
Drazin Inverse
Authors
Guorong Wang
Yimin Wei
Sanzheng Qiao
Copyright Year
2018
Publisher
Springer Singapore
Book
Generalized Inverses: Theory and Computations

Print ISBN: 978-981-13-0145-2

Electronic ISBN: 978-981-13-0146-9

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-981-13-0146-9_2

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