Lagrange Interpolation code
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Lagrange Interpolation
a) Write a Matlab function that produces a fourth-order accurate Lagrange
interpolation f4 (x) for a function f in the point x , given the points x0 , x1 , x2 , x3 , x4
and the values f(x0 ), f(x1 ), f(x2 ), f(x3 ), f(x4 ) .
b) Given
f(?1/2 ) = ?1, f(?1/6 ) = ?1/2 , f(0) = 0, f(1/6) =1/2 , f(1/2 ) =1, show that these values
indicate that f could be an odd function. Use your Matlab function to find the
fourth-order interpolation at x=1/3 and the fourth-order extrapolation at x =1.
Would the extrapolation be accurate (explain)?
回答（3 个）
Matt Fig
2011-3-21
1 个投票
As Paulo indicates, MATLAB Answers is not a Homework solving service. However, if you show some effort (code) and ask specific questions regarding the use of MATLAB to solve your problem, then you will most likely receive help.
Paulo Silva
2011-3-21
0 个投票
Matt Tearle
2011-3-21
0 个投票
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