Geodesic
The minimal and characteristic polyanalytic polynomials of a normal matrix
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXX, Tome 463 (2017), pp. 154-159 Cet article a éte moissonné depuis la source Math-Net.Ru

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The concept of the minimal polyanalytic polynomial was introduced by M. Huhtanen in connection with the generalized Lanczos process as applied to a normal matrix. The paper discusses the possibility of finding an equivalent of the characteristic polynomial in the set of polyanalytic polynomials. 
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     author = {Kh. D. Ikramov},
     title = {The minimal and characteristic polyanalytic polynomials of a~normal matrix},
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Kh. D. Ikramov. The minimal and characteristic polyanalytic polynomials of a normal matrix. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXX, Tome 463 (2017), pp. 154-159. http://geodesic.mathdoc.fr/item/ZNSL_2017_463_a11/

[1] M. B. Balk, M. F. Zuev, “On polyanalytic functions”, Russ. Math. Surveys, 25:5 (1970), 201–223 | DOI | MR | Zbl

[2] M. Huhtanen, “Orthogonal polyanalytic polynomials and normal matrices”, Math. Comp., 72 (2002), 355–373 | DOI | MR

[3] L. Elsner, Kh. D. Ikramov, “On a condensed form for normal matrices under finite sequences of elementary unitary similarities”, Linear Algebra Appl., 254 (1997), 79–98 | DOI | MR | Zbl