Lower bounds for the Perron root of a nonnegative matrix

Berman, 1979 Deutsch, 1983, Nested bounds for the Perron root of a nonnegative matrix, Linear Algebra Appl., 52⧸53, 235, 10.1016/0024-3795(83)80016-0 Hall, 1969, Bounds for the maximal eigenvalue of a nonnegative irreducible matrix, Duke Math. J., 36, 159, 10.1215/S0012-7094-69-03621-7 Hardy, 1952 Householder, 1964 Marcus, 1964 Marshall, 1979 Ortega, 1970 Ostrowski, 1960, Bounds for the maximal characteristic root of a nonnegative irreducible matrix, Duke Math. J., 27, 547, 10.1215/S0012-7094-60-02752-6 Szulc, 1988, A lower bound for the Perron root of a nonnegative matrix, Linear Algebra Appl., 101, 181, 10.1016/0024-3795(88)90150-4 Varga, 1962