How to find coefficient matrix?

Hello everyone,

I need to find a coefficient matrix called 'A'.

I heve vector 'Re' and a result vector 'f'. Bouth vectors are (1:430) size and are known.

The equation looks like this: A * Re = f

how can i do it?

Vectors file included, only (1:430) is needed.

Equation system format included. Matrix 'A' is the a's, 'Re' is the X's and 'f' is the Y's.

Hope I was clear enougth, thanks for the help!

Answer 1

[Torsten]

I assume the last xi^n should be xi^m in

sum_{i=1}^{n} y_i*x_i^n

x = [1 3 5 7 9];
y = [3 -1 3 78 -0.2];
m = 4;
xx = x.^((0:2*m).');
xxx = sum(xx,2).';
A = reshape(cell2mat(arrayfun(@(i)xxx(i:i+4),1:m+1,"UniformOutput",false)),m+1,m+1); 
b = xx(1:m+1,1:m+1)*y.';
a = A\b