Rational approximations to fractional powers of self-adjoint positive operators
We investigate the rational approximation of fractional powers of unbounded positive operators attainable with a specific integral representation of the operator function. We provide accurate error bounds by exploiting classical results in approximation theory involving Pad\'{e} approximants. The analysis improves some existing results and the numerical experiments proves its accuracy.
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Lidia Aceto (add twitter)
Paolo Novati (add twitter)
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Mathematics - Numerical Analysis

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07/26/18 05:52PM
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