Gohberg-Kaashoek Numbers and Forward Stability of the Schur Canonical Form
Anastasiia Minenkova, Evelyn Nitch-Griffin, Vadim Olshevsky
TL;DR
This paper investigates the stability of the Schur decomposition with respect to Jordan structure perturbations, completing previous work on the topic.
Contribution
It provides a comprehensive analysis of the forward stability of the Schur canonical form considering Jordan structure changes.
Findings
Established conditions for forward stability of Schur form
Extended previous stability results to broader perturbation classes
Clarified the relationship between Jordan structure and Schur stability
Abstract
In the present paper we complete the stability of Schur decomposition depending on the Jordan structure of the perturbation, started in \cite{MNO}.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Combinatorial Mathematics