Geodesic
Matrices whose powers are eventually triangular
Filomat, Tome 37 (2023) no. 26, p. 8867

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DOI

Square matrices whose powers eventually have some special properties are of both theoretical significance and application value. This paper investigates those complex matrices whose powers are eventually triangular. We completely characterize the eventually triangular complex matrices of order not greater than 4, and extend the results to the nonnegative case. Eventually triangular matrices of order n are also discussed.
DOI : 10.2298/FIL2326867M
Classification : 15A21, 15A20, 15A18
Keywords: Matrix power, Triangular matrix, Jordan canonical form, Nonnegative matrix, Nilpotent matrix 
Chao Ma; Yali Ren; Zheng Li; Jin Zhong. Matrices whose powers are eventually triangular. Filomat, Tome 37 (2023) no. 26, p. 8867 . doi: 10.2298/FIL2326867M
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     author = {Chao Ma and Yali Ren and Zheng Li and Jin Zhong},
     title = {Matrices whose powers are eventually triangular},
     journal = {Filomat},
     pages = {8867 },
     year = {2023},
     volume = {37},
     number = {26},
     doi = {10.2298/FIL2326867M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2326867M/}
}
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