RUS  ENG
Full version
JOURNALS // Zapiski Nauchnykh Seminarov POMI

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

References

1. L. Yu. Kolotilina, “Otsenki i neravenstva dlya perronovskogo kornya neotritsatelnoi matritsy”, Zap. nauchn. semin. POMI, 284, 2002, 77–122  mathnet  zmath
2. L. Yu. Kolotilina, “Ob uluchshenii otsenok Chistyakova dlya perronovskogo kornya neotritsatelnoi matritsy”, Zap. nauchn. semin. POMI, 346, 2007, 103–118  mathnet
3. A. Berman, R. J. Plemmons, Nonnegative Matrices in the Mathematical Sciences, Academic Press, New York etc., 1979  mathscinet  zmath
4. A. Brauer, I. C. Gentry, “Bounds for the greatest characteristic root of an irreducible nonnegative matrix”, Linear Algebra Appl., 8 (1974), 105–107  crossref  mathscinet  zmath
5. Jun He, Yanmin Liu, Wei Lv, “New upper bounds for the dominant eigenvalue of a matrix with Perron–Frobenius property”, J. Ineq. Appl., 2023:13 (2023)  mathscinet
6. D. Noutsos, “On Perron–Frobenius property of matrices having some negative entries”, Linear Algebra Appl., 412 (2006), 132–153  crossref  mathscinet  zmath
7. A. M. Ostrowski, “Über das Nichtverschwinden einer Klasse von Determinanten und die Lokalisierung der charakteristischen Wurzeln von Matrizen”, Comp. Math., 9 (1951), 209–226  mathscinet  zmath


© Steklov Math. Inst. of RAS, 2026