[R] Constrained optimization

[Paul Smith]

On Tue, Jul 8, 2008 at 11:28 AM, Kanak Choudhury <kanak562265 at gmail.com> wrote:
> i have a function like
>
> 1+sin(a+bx) where -pi/2<=a+bx<=pi/2
>
> i made a progrom using constrOptim() function but it is not giving good
> result. it depends on the initial value. but when i am doing simulation it
> is impossible of find the best initial value for every step. also i am not
> exactly sure how to input the restriction though i have read the help file
> of the function. here x is a set of values. would u please send me some
> instruction to find the best result from the obtimization.

Actually, there is no need to use R to optimize such a function. In
truth, the analytical solution for your problem, in case you are
wanting to maximize, is:

a + b x = pi/2;

in case of minimization, the solution is:

a + b x = - pi/2.

Paul