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Anyone know where I can find the Hermite interpolation algorithm in MATLAB. Which Hermite interpolation algorithm solves this?

I need to calculate a polynomial. Example:

x=[1,2,3]; y=[0.5,1,12]   y'=[1,0.2,0.9] y''=[0.1,0.6,0.8] x2=[1,1.5,2,2.5,3,3.5]; polynom=hermit_interpolation(x,y,y',y'',x2); % i need the polynom to y2=polyval(polynom,x2); plot(x2,y2); 

Thanks for any answers.

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There is the pchip command documented here.

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    Note that `pchip()` is a method for specific variety of cubic Hermite interpolation. I gave a discussion [here](http://math.stackexchange.com/a/51412).2011-12-28