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Bounds on the Spectral Radius of Nonnegative Matrices
(2020)In this paper, we determine some new bounds for the spectral radius of a nonnegative matrix with respect to the upper and the lower bounds for the spectral radius given by Frobenius' bounds, by using similarity transformations. ... -
k–step Fibonacci sequences and Fibonacci matrices
(2017)In this paper, the powers of the Fibonacci matrices are investigated and closed formulas for their entries are derived, related to the suitable terms of the k− step Fibonacci sequences in order to develop the properties ... -
Sharp bounds on the spectral radius of nonnegative matrices and comparison to the frobenius’ bounds
(2020)In this paper, a new upper bound and a new lower bound for the spectral radius of a nοnnegative matrix are proved by using similarity transformations. These bounds depend only on the elements of the nonnegative matrix and ...