How can I interpolate matrices that are parameter dependent?

I would like to find a elegant way of interpolating matrices with parameter dependency. I have 2 matrices and one parameter vector. According to this parameter I would like to find an interpolated matrix.

In Matrixx/XMath you can define parameter dependent matrices (pdm's) and interpolate them according to the parameter value. I would like to be able to achieve this the same way in Matlab.

Answer 1

[MathWorks Support Team]

The ability to use interpolation routines on pdm's or to create pdm's is not available in MATLAB 7.6 (R2008a) and prior versions.

To work around this issue, reshape the matrices and use INTERP1 as follows:

% matrices A90,A100 and A110 that depend on parameter x

A90 = [1 2 3; 4 5 6; 7 8 9]

A100 = A+1

A110 = B+1

% parameter x

x = [90;100;110]

% reshape of matrices A90-110 to combine them in one 2-dim matrix

M = cat(1,reshape(A90,[1 9]),reshape(A100,[1 9]),reshape(A110,[1 9]))

% get the interpolated matrix at x = 95

M95 = reshape(interp1(x,M,95),[3 3])