ACTA issues

A refined bound for the spectral variations of matrices

Michael Gil'

Acta Sci. Math. (Szeged) 87:1-2(2021), 115-120
66/2020

Abstract. We derive a new bound for the spectral variations of matrices explicitly expressed via the entries of the considered matrices. In the appropriate situations our results are considerably sharper than the well-known bounds.



DOI: 10.14232/actasm-020-566-z

AMS Subject Classification (1991): 15A18, 15A42

Keyword(s): matrices, perturbations


received 6.6.2020, revised 19.12.2020, accepted 14.1.2021. (Registered under 66/2020.)