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Zapiski Nauchnykh Seminarov POMI, 2023, Volume 524, Pages 56–63 (Mi znsl7355)  
Upper bounds for the spectral radius of a PF matrix

L. Yu. Kolotilina

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
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Abstract: The paper suggests and illustrates a simple unified approach to deriving upper bounds for the dominant eigenvalues of the so-called PF matrices (or matrices with the Perron–Frobenius property) from those for the Perron root of a nonnegative matrix.
Key words and phrases: spectral radius, nonnegative matrices, Perron root, Perron–Frobenius property, dominant eigenvalue, upper bounds.
Received: 06.04.2023
Document Type: Article
UDC: 512.643
Language: Russian
Citation: L. Yu. Kolotilina, “Upper bounds for the spectral radius of a PF matrix”, Computational methods and algorithms. Part XXXVI, Zap. Nauchn. Sem. POMI, 524, POMI, St. Petersburg, 2023, 56–63
Citation in format AMSBIB
\Bibitem{Kol23}
\by L.~Yu.~Kolotilina
\paper Upper bounds for the spectral radius of a PF matrix
\inbook Computational methods and algorithms. Part~XXXVI
\serial Zap. Nauchn. Sem. POMI
\yr 2023
\vol 524
\pages 56--63
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7355}
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