Algorithm for Fractional power calculation
10 vues (au cours des 30 derniers jours)
Afficher commentaires plus anciens
Hi
1. fractional base is no problem with current implementation.
2. To support fractional exponents, get the n-th root for any given number b. How to implement algorithm to get a numerical approximation ?
3. Current approach is inefficient, because it loops e times
b = [-32:32]; % example input values
e = [-3:3]; % example input values but doesn't support fraction's
power_function(b,e)
p = 1;
if e < 0
e = abs(e);
multiplier = 1/b;
else
multiplier = b;
end
for k = 1:e
p(:) = p * multiplier; % n-th root for any given number
end
0 commentaires
Réponses (1)
Alan Stevens
le 28 Fév 2022
How about using the Newton-Raphson algorithm. Here's the basic idea:
% x^n = b
% Let f(x) = x^n - b
% dfdx(x) = n*x^(n-1)
%
% Use Newton-Raphson iteration
% x1 = initial guess
% err = 1;
% while err > tol
% x = x1 - f(x1)/dfdx(x1);
% err = abs(x - x1);
% x1 = x
% end
13 commentaires
Voir également
Catégories
En savoir plus sur Logical dans Help Center et File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!