Abstract
The strengthened versions of the classical additive and multiplicative Weyl inequalities for the singular values of A + B and AB*, where A and B are rectangular matrices, and for the eigenvalues of A + B and AB, where A and B are Hermitian matrices, are established under certain assumptions on the subspaces spanned by some singular vectors or eigenvectors, respectively, of A and B. Bibliography: 6 titles.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 296, 2003, pp. 39–59.
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Kolotilina, L.Y. The strengthened versions of the additive and multiplicative Weyl inequalities. J Math Sci 127, 1976–1987 (2005). https://doi.org/10.1007/s10958-005-0156-5
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DOI: https://doi.org/10.1007/s10958-005-0156-5