The numerical Jordan form

In this expository paper, we discuss the properties and implementation of the numerical Jordan and Weyr canonical forms as computed by the algorithm of Kublanovskaya-Ruhe-Kågström. In contrast to the widespread negative opinion toward the numerical computation and implementation of the Jordan form,...

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Veröffentlicht in:	Linear algebra and its applications 2022-04, Vol.638, p.1-45, Article 1
Hauptverfasser:	Petkov, Petko H., Konstantinov, Mihail M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Canonical forms Computation Eigenvalues Ill-posed problems Jordan canonical form Jordan form Linear algebra Matrix methods Numerical analysis Regularization Segre and Weyr characteristics Sensitivity Weyr canonical form
Online-Zugang:	Volltext
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