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Probabilistic Perturbation Bounds for Invariant, Deflating and Singular Subspaces

In this paper, we derive new probabilistic bounds on the sensitivity of invariant subspaces, deflation subspaces and singular subspaces of matrices. The analysis exploits a unified method for deriving asymptotic perturbation bounds of the subspaces under interest and utilizes probabilistic approxima...

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Main Author: Petko H. Petkov
Format: Artigo
Language:Inglês
Published: MDPI AG 2024-09-01
Series:Axioms
Subjects:
perturbation analysis
probabilistic bounds
invariant subspaces
deflating subspaces
singular subspaces
Online Access:https://www.mdpi.com/2075-1680/13/9/597
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