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2002•Journal of Xi'an University of TechnologyRequires access

A New Method of Polynomial Interpolation ——Weighted Average Method

Rong Liu

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Abstract

A new method of polynomial interpolation is suggested in this paper. Compared with LaGrange interpolating method, the weighted method is both simpler in deduction and more significant in physics. Furthermore, this method also ascribes the interpolation issue with m independent variables and n powers to the research on the coefficient matrix of the linear system of equations about weighted coefficients.

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What this paper is about

A new method of polynomial interpolation is suggested in this paper. Compared with LaGrange interpolating method, the weighted method is both simpler in deduction and more significant in physics. Furthermore, this method also ascribes the interpolation issue with m independent variables and n powers to the research on the coefficient matrix of the linear system of equations about weighted coefficients.

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Available abstract

A new method of polynomial interpolation is suggested in this paper. Compared with LaGrange interpolating method, the weighted method is both simpler in deduction and more significant in physics. Furthermore, this method also ascribes the interpolation issue with m independent variables and n powers to the research on the coefficient matrix of the linear system of equations about weighted coefficients.

Key concepts: Lagrange polynomial, Interpolation (computer graphics), Polynomial interpolation, Mathematics, Birkhoff interpolation, Coefficient matrix, Linear interpolation, Applied mathematics

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