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Skew Spectrum of the Cartesian Product of an Oriented Graph with an Oriented Hypercube Read chapter Read first chapter

2013 | OriginalPaper | Chapter

On the Level-2 Condition Number for Moore–Penrose Inverse in Hilbert Space

Authors : Huaian Diao, Yimin Wei

Published in: Combinatorial Matrix Theory and Generalized Inverses of Matrices

Publisher: Springer India

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Abstract

We prove that \({\rm{cond}}_{\dagger}(T)-1\leq {\rm{cond}}^{[2]}_{\dagger}(T)\leq{\rm{cond}}_{\dagger}(T)+1\), where T is a linear operator in a Hilbert space, \({\rm{cond}}_{\dagger}(T)\) is the condition number of computing its Moore–Penrose inverse, and \({\rm{cond}}^{[2]}_{\dagger}(T)\) is the level-2 condition number of this problem.

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Metadata
Title
On the Level-2 Condition Number for Moore–Penrose Inverse in Hilbert Space
Authors
Huaian Diao
Yimin Wei
Copyright Year
2013
Publisher
Springer India
Book
Combinatorial Matrix Theory and Generalized Inverses of Matrices

Print ISBN: 978-81-322-1052-8

Electronic ISBN: 978-81-322-1053-5

Copyright Year: 2013

DOI
https://doi.org/10.1007/978-81-322-1053-5_13

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