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Erschienen in:
Equation Solving Generalized Inverses Kapitel lesen Erstes Kapitel lesen

2018 | OriginalPaper | Buchkapitel

5. Computational Aspects

verfasst von : Guorong Wang, Yimin Wei, Sanzheng Qiao

Erschienen in: Generalized Inverses: Theory and Computations

Verlag: Springer Singapore

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Abstract

It follows from Chap. 1 that the six important kinds of generalized inverse: the M-P inverse \(A^\dag \), the weighted M-P inverse \(A_{MN}^{\dag }\), the group inverse \(A_g\), the Drazin inverse \(A_d\), the Bott-Duffin inverse \(A_{(L)}^{(-1)}\) and the generalized Bott-Duffin inverse \(A_{(L)}^{(\dag )}\) are all the generalized inverse \(A_{T,S}^{(2)}\), which is the \(\{ 2 \}\)-inverse of A with the prescribed range T and null space S.

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Vorheriges Kapitel Reverse Order and Forward Order Laws for
Nächstes Kapitel Structured Matrices and Their Generalized Inverses
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Metadaten
Titel
Computational Aspects
verfasst von
Guorong Wang
Yimin Wei
Sanzheng Qiao
Copyright-Jahr
2018
Verlag
Springer Singapore
Buch
Generalized Inverses: Theory and Computations

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

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

Copyright-Jahr: 2018

DOI
https://doi.org/10.1007/978-981-13-0146-9_5