Interpolation-Practice

Interpolation-Practice - polynomial. (c) Derive the...

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EMAE 250.100: Exercise Problem February 23, 2011 Given a set of data provided in Table 2 below: (a) Write the general form of the Newton’s interpolating polynomial that passes through five data points. (b) Make a table with columns of i , x i , f ( x i ), f [ x i +1 ,x i ], f [ x i +2 ,x i +1 ,x i ], etc., and complete the table. List all coefficients clearly and write down the Newton’s interpolating
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Unformatted text preview: polynomial. (c) Derive the Lagrange form of the equation that passes through the same data points. Table 1: i x i f ( x i ) 1-2-15 2-1 3 3 4 1 5 2-3 1...
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