How to solve the following type of equation that includes summation in matlab?

1 Ansicht (letzte 30 Tage)
How to find an expression for using matlab, so that the below equation equals to zero.

Akzeptierte Antwort

Bruno Luong
Bruno Luong am 27 Mär. 2022
Bearbeitet: Bruno Luong am 27 Mär. 2022
H_m and t_m are stored in (1 x M )arrays
% Dummy test data
M = 10;
H = rand(1,M);
t = rand(1,M);
P = sum( abs(H(:)).^2 .* [-ones(M,1) +3*t(:) -3*t(:).^2 +t(:).^3]);
t0 = roots(P)
t0 =
0.2914 + 0.3069i 0.2914 - 0.3069i 0.3144 + 0.0000i
sum(abs(H).^2 .* (t - t0).^3, 2)
ans =
1.0e-15 * -0.2845 + 0.1978i -0.2845 - 0.1978i 0.1162 + 0.0000i
  10 Kommentare
Bruno Luong
Bruno Luong am 30 Mär. 2022
Elaborate what? Your orginal equation you post seems fishy to me, not the MATLAB implementation of your equation.
Another fischy fact : the expression only have sum of strictly positive quantities, you cannot expect there is a real root of it. Something is wrong with the maths/physics where you derive the expression/equation.

Melden Sie sich an, um zu kommentieren.

Weitere Antworten (0)

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by