Padé approximants: Difference between revisions
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'''Padé approximants''' are derived by expanding a function as a ratio of two power series | '''Padé approximants''' are derived by expanding a function as a ratio of two [[power series]] | ||
and determining both the numerator and denominator coefficients. | and determining both the numerator and denominator coefficients. | ||
Padé approximations are usually superior to [[Taylor expansion]]s when functions contain poles, | Padé approximations are usually superior to [[Taylor expansion]]s when functions contain poles, | ||
Revision as of 14:01, 12 February 2008
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Padé approximants are derived by expanding a function as a ratio of two power series and determining both the numerator and denominator coefficients. Padé approximations are usually superior to Taylor expansions when functions contain poles, because the use of rational functions allows them to be well-represented.