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• W2034117680 abstract "A geometric method, based on a decomposition of the space of complex matrices, is employed to study the variation of the spectrum of a matrix. When adapted to special cases, this leads to some classical inequalities as well as some new ones. As an example of the latter, we show that if $U$, $V$ are unitary matrices and $K$ is a skew-Hermitian matrix such that $U{V^{ - 1}} = exp K$, then for every unitary-invariant norm the distance between the eigenvalues of $U$ and those of $V$ is bounded by $||K||$. This generalises two earlier results which used particular unitary-invariant norms." @default.
• W2034117680 created "2016-06-24" @default.
• W2034117680 creator A5061644997 @default.
• W2034117680 date "1982-01-01" @default.
• W2034117680 modified "2023-10-18" @default.
• W2034117680 title "Analysis of spectral variation and some inequalities" @default.
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• W2034117680 doi "https://doi.org/10.1090/s0002-9947-1982-0656492-x" @default.
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