Abstract
The Wielandt–Hoffman and J.-g. Sun theorems estimate the magnitude of perturbations in the eigenvalues of a normal matrix caused by perturbations of its entries. In the theory of congruence transformations, unitoid matrices and their canonical angles play, to a certain extent, the role of diagonalizable matrices and their eigenvalues. In particular, normal matrices are unitoid. This paper discusses analogs of the Wielandt–Hoffman and Sun theorems relating to canonical angles.
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REFERENCES
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Ikramov, K.D. Canonical Angles of Normal Matrices and Theorems of the Wielandt–Hoffman and J.-g. Sun Type. Comput. Math. and Math. Phys. 62, 1586–1589 (2022). https://doi.org/10.1134/S0965542522100062
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DOI: https://doi.org/10.1134/S0965542522100062