Lagrange polynomial
Polynomials used for interpolation
Lagrange polynomial
In numerical analysis, the Lagrange interpolating polynomial is the unique polynomial of lowest degree that interpolates a given set of data. Given a data set of coordinate pairs ( x j , y j ) {\displaystyle \textstyle (x_{j},y_{j})} , the x j {\displaystyle \textstyle x_{j}} are called nodes and the y j {\displaystyle \textstyle y_{j}} are called values. The Lagrange polynomial L ( x ) {\displaystyle L(x)} which interpolates the data...
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