Matrix Polynomial Equation solution

I have been trying for some time to solve the equation: A*(T.^4)+B*T=C+D where A, B, C, D, and T are all matrices, and T.^4 here takes its matlab meaning of being each cell of T taken individually to the power of 4. I have been trawling the help guide and the internet for some way of solving such a polynomial equation with matrices, but I can't find anything. If anyone could give any suggestions I would be so very grateful. Many thanks, Maria

Answer 1

[Dr. Seis]

I ran this as a test, and it looked like the value I randomly chose for "T" below matched the "TT" predicted by "fsolve". It looked like "C" and "D" were both known variables, so I assumed they were already summed together.

A = rand(3,3);
B = rand(3,3);
T = rand(3,3);
C_plus_D = A*(T.^4) + B*T;

TT = fsolve(@(TT)A*(TT.^4) + B*TT - C_plus_D, zeros(3,3));

[Maria]

Hi Elige!

I just wanted to say a huge thank you for this answer, which it seems (massive fingers crossed!) works in my code- so thank you!

Maria