The optimal perturbation bounds of the Moore–Penrose inverse under the Frobenius norm-Reference-Cited by-同舟云学术

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The optimal perturbation bounds of the Moore–Penrose inverse under the Frobenius norm

Published:2010-02 Issue:4 Volume:432 Page:956-963
ISSN:0024-3795
Container-title:Linear Algebra and its Applications
language:en
Short-container-title:Linear Algebra and its Applications

Author:

Meng Lingsheng,Zheng Bing

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference18 articles.

1. Generalized Inverse: Theory and Applications;Ben-Israel,1974

2. Generalized Inverses: Theory and Computations;Wang,2004

3. On error bounds for generalized inverses;Ben-Israel;SIAM J. Numer. Anal.,1966

4. On the continuity of the generalized inverses;Stewart;SIAM J. Appl. Math.,1969

5. P.-Å. Wedin, On pseudoinverses of perturbed matrices, Lund Un. Comp. Sc. Tech. Rep. 1969.

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1. On perturbation bounds of generalized core inverses of matrices;Linear and Multilinear Algebra;2023-09-27

2. Perturbation Bounds of Core Inverse Under the Frobenius Norm;Bulletin of the Malaysian Mathematical Sciences Society;2022-06-06

3. Convergence of Newton-MR under Inexact Hessian Information;SIAM Journal on Optimization;2021-01

4. Revisiting Ho-Kalman based system identification: robustness and finite-sample analysis;IEEE Transactions on Automatic Control;2021

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