Can't every constrained optimization problem be converted into an unconstrained one? For eg, instead of saying "minimize f(x) with the constraint g(x) = 0", can't we just say "minimize f(x) + abs(g(x)) * 10^30" ?
Also, is there a reason why most optimization texts (like this one) only discuss point optimization and not path optimization (i.e. calculus of variations) ?
Also, is there a reason why most optimization texts (like this one) only discuss point optimization and not path optimization (i.e. calculus of variations) ?