General
A common (standard) model form is the minimization of one real-valued function in the parameter-space, or its specified subset : here denotes the set defined by the constraints.
(The maximization of a real-valued function is equivalent to the minimization of the function .)
In many nonlinear optimization problems, the objective function has a large number of local minima and maxima. Finding an arbitrary local optimum is relatively straightforward by using classical local optimisation methods. Finding the global minimum (or maximum) of a function is far more difficult: symbolic (analytical) methods are frequently not applicable, and the use of numerical solution strategies often leads to very hard challenges.
Read more about this topic: Global Optimization
Famous quotes containing the word general:
“It is a maxim among these lawyers, that whatever hath been done before, may legally be done again: and therefore they take special care to record all the decisions formerly made against common justice and the general reason of mankind.”
—Jonathan Swift (1667–1745)
“Suppose we think while we talk or write—I mean, as we normally do—we shall not in general say that we think quicker than we talk, but the thought seems not to be separate from the expression.”
—Ludwig Wittgenstein (1889–1951)
“We have left undone those things which we ought to have done; and we have done those things which we ought not to have done.”
—Morning Prayer, General Confession, Book of Common Prayer (1662)