RUS  ENG
Full version
JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. 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

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.

UDC: 512.643

Received: 06.04.2023



© Steklov Math. Inst. of RAS, 2025