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:
“Through the particular, in wartime, I felt the high-voltage current of the general pass.”
—Elizabeth Bowen (1899–1973)
“The general so likes your music, that he desires you for love’s sake to make no more noise with it.”
—William Shakespeare (1564–1616)
“The man who would change the name of Arkansas is the original, iron-jawed, brass-mouthed, copper-bellied corpse-maker from the wilds of the Ozarks! He is the man they call Sudden Death and General Desolation! Sired by a hurricane, dam’d by an earthquake, half-brother to the cholera, nearly related to the smallpox on his mother’s side!”
—Administration in the State of Arka, U.S. public relief program (1935-1943)