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- W4313367752 abstract "Any defective matrix M in Cn×n has a diagonalizable dilation M, but it is not guaranteed that M preserves the eigenvalues or is a power dilation of M. We construct a diagonalizable dilation with a predictable eigenstructure that retains the eigenvalues of M. Although the construction is not a direct power dilation of M, we show that the powers of M can still be easily computed using the powers of M, and furthermore, this method can be used to compute matrix functions." @default.
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- W4313367752 date "2023-03-01" @default.
- W4313367752 modified "2023-10-16" @default.
- W4313367752 title "Powers of defective matrices from diagonalizable dilations" @default.
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- W4313367752 doi "https://doi.org/10.1016/j.laa.2022.12.015" @default.
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