Abstract
Sharp estimates are established for the norm of a matrix-valued function of a matrix having geometrically simple eigenvalues. Applications of the obtained estimates to the periodic problem and two-point boundary value problem for vector differential equations are also discussed.
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Gil’, M.I. Norm estimates for functions of matrices with simple spectrum. Rend. Circ. Mat. Palermo 59, 215–226 (2010). https://doi.org/10.1007/s12215-010-0016-0
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DOI: https://doi.org/10.1007/s12215-010-0016-0