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interpolation of a matrix function


Hi to all.

My problem is the following: I' have a list, in which elements are in
this form

{a, {{m11,m12},{m21,m22}}},

So, an example list can be this:

{
{1,{{4,3},{3,4}}},
{2,{{5,7},{2,3}}},
{2.3,{{8,5},{5,4}}},
{3,6,{{1,1},{5,6}}}
}

In other words, I've a list of matrices, that depend on parameter 'a'.

I'd like to create ad interpolating function that interpolate the
entire matrix, and if I write

interpolatedMatrix[parameter]

it gives me a matrix formed by the interpolation of matrices of that
list, depending of a parameter.

What's the better way to do this?

Thanks for replies

Daniele


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