How can I get all possible solutions for an equation?
6 vues (au cours des 30 derniers jours)
Afficher commentaires plus anciens
payman khayree
le 26 Août 2014
Commenté : payman khayree
le 3 Sep 2014
I need to get all possible solutions for this equation:
sin(x)/x == a
for "0.2 < a < 1", it has 3 to 5 solutions but matlab functions such as "solve" and "vpasolve" only return the first solution they find. How can I get all the answers? should I use another function?
thank you all payman
0 commentaires
Réponse acceptée
Greg Heath
le 27 Août 2014
Some or all of the solutions can probably be obtained via recursion.
Given a, b=1/a and x(1), try
x(n+1) = arcsin(a*x(n))
and
x(n+1) = b*sin(x(n))
Simultaneously plotting y1= a*x and y2 = sin(x) for 0.2 <= a <= 1 will yield insight.
Hope this helps.
Thank you for formally accepting my answer
Greg
Plus de réponses (1)
John D'Errico
le 26 Août 2014
All possible solutions is in general an impossible thing for a completely general function, since there may be infinitely many such solutions.
If you know there are a finite number of solutions, and can bound them, then just sample your function on a fine enough interval, and use fzero over brackets generated by the sampling. WTP?
0 commentaires
Voir également
Catégories
En savoir plus sur Matrix Computations 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!