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Bounds for eigenvalues of a matrix

Publication at Faculty of Mathematics and Physics |
2015

Abstract

We state without proofs some not very well known results on the bounds for eigenvalues of an arbitrary square matrix. Then we mainly focus on the determination of bounds for the spectral radius (and therefore also for eigenvalues) of a nonnegative square matrix using the graph of the matrix.

Finally, we compare at least some of the stated bounds.