Abstract
We derive new inequalities for the spectral variation of matrices and Hausdorff distance between spectra of two matrices explicitly expressed via the entries of the considered matrices. In the appropriate situations our results are sharper than the well-known bounds.
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I am very grateful for the referee of this paper for his (her) very deep and helpful remarks.
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Gil’, M. A new inequality for the Hausdorff distance between spectra of two matrices. Rend. Circ. Mat. Palermo, II. Ser 70, 341–348 (2021). https://doi.org/10.1007/s12215-020-00499-1
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DOI: https://doi.org/10.1007/s12215-020-00499-1