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:
“... women can never do efficient and general service in hospitals until their dress is prescribed by laws inexorable as those of the Medes and Persians. Then, that dress should be entirely destitute of steel, starch, whale-bone, flounces, and ornaments of all descriptions; should rest on the shoulders, have a skirt from the waist to the ankle, and a waist which leaves room for breathing.”
—Jane Grey Swisshelm (1815–1884)
“The following general definition of an animal: a system of different organic molecules that have combined with one another, under the impulsion of a sensation similar to an obtuse and muffled sense of touch given to them by the creator of matter as a whole, until each one of them has found the most suitable position for its shape and comfort.”
—Denis Diderot (1713–1784)
“In general I do not draw well with literary men—not that I dislike them but I never know what to say to them after I have praised their last publication.”
—George Gordon Noel Byron (1788–1824)