Geodesic
Using the Weyr form in the numerical determination of the Jordan canonical form of a matrix
Mathematics and Education in Mathematics, Tome 50 (2021), pp. 298-307 
Petkov, Petko; Konstantinov, Mihail. Using the Weyr form in the numerical determination of the Jordan canonical form of a matrix. Mathematics and Education in Mathematics, Tome 50 (2021), pp. 298-307. http://geodesic.mathdoc.fr/item/MEM_2021_50_a35/
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     author = {Petkov, Petko and Konstantinov, Mihail},
     title = {Using the {Weyr} form in the numerical determination of the {Jordan} canonical form of a matrix},
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     series = {Mathematics and Education in Mathematics},
     pages = {298--307},
     year = {2021},
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     url = {http://geodesic.mathdoc.fr/item/MEM_2021_50_a35/}
}
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The paper presents a brief survey of the numerical problems arising in the determination of the Jordan canonical form of a square matrix. The existed opinion that the Jordan form is not suitable for numerical determination in a finite precision arithmetic is disputed. Methods for stable determination of the Jordan structure of a matrix based on obtaining the Weyr canonical form are considered. В статията се прави кратък преглед на числените проблеми, възникващи при определяне на жордановата канонична форма на квадратна матрица. Оспорва се съществуващото мнение, че жордановата форма е неподходяща за числено определяне в аритметика с крайна точност. Разглеждат се методи за устойчиво определяне на жордановата структура на матрица, основани на получаването на каноничната форма на Вейр.