Rational approximations corresponding to Newton series (Newton-Padé approximants)
نویسندگان
چکیده
منابع مشابه
Approximations and generalized Newton methods
We study local convergence of generalized Newton methods for both equations and inclusions by using known and new approximations and regularity properties at the solution. Including Kantorovich-type settings, our goal are statements about all (not only some) Newton sequences with appropriate initial points. Our basic tools are results of [31], [37] and [40], mainly about Newton maps and modifie...
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Pad6 approximants are a frequently used tool for the solution of mathematical problems. One of the main drawbacks of their use for multivariate functions is the calculation of the derivatives of f ( x 1 .... ,xp). Therefore multivariate Newton-Pad6 approximants are introduced; their computation will only use the value of f at some points. In Sect. 1 we shall repeat the univariate Newton-Pad6 ap...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1976
ISSN: 0021-9045
DOI: 10.1016/0021-9045(76)90081-2