Parameter method of constructing rational interpolating function
Sun Meila
Abstract
Sun Meila
Abstract
There are a lot of excellent conclusions for the study of rational interpolating problem with the rational fractional function decided degree type. Whether rational interpolating problem has a solution or not depends on the given function values f(xi)i = 01m + n of the being interpolated function. It is pointed out that the rational interpolating problem always has solutions when the sum of the degree of numerator polynomial and denominator Poly-nomial isN. Proceeding from the hypothetical degree type of rational interpolating function, the positive integer parameterdis introduced and a method for the determination of rational interpolating functions is presented. The method can construct rational fraction functions satisfying the interpolating conditions and it is more flexible with a small amount of calculation.
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There are a lot of excellent conclusions for the study of rational interpolating problem with the rational fractional function decided degree type. Whether rational interpolating problem has a solution or not depends on the given function values f(xi)i = 01m + n of the being interpolated function. It is pointed out that the rational interpolating problem always has solutions when the sum of the degree of numerator polynomial and denominator Poly-nomial isN. Proceeding from the hypothetical degree type of rational interpolating function, the positive integer parameterdis introduced and a method for the determination of rational interpolating functions is presented. The method can construct rational fraction functions satisfying the interpolating conditions and it is more flexible with a small amount of calculation.
Key concepts: Rational function, Mathematics, Degree (music), Polynomial and rational function modeling, Function (biology), Integer (computer science), Polynomial, Interpolation (computer graphics)