Golden Section Method
The golden section method can be used for estimating the maximum, minimum, or
zero of a one-variable function. The function is assumed to uni-modal, but does not
necessarily have to have continuous derivatives. In contrast to polynomial curve fitting
techniques, the rate of convergence for the golden section method can be determined.
This method is reliable for poorly conditioned problems but a well-conditioned problem
will not converge any more rapidly.
The golden section recurs in nature as an aesthetic ratio and throughout history as a
number to which mysterious properties were attributed [11]. This ratio is the ratio of the
base to the height of the Great Pyramid. Leonardo da Vinci added to the popularity with
his studies on proportions of the human body. He found that this ratio was the distance
from the navel to the ground divided by the distance from the top of the head to the navel
of the "optimum" human body (see figure 3.1).
,., .. ..--
Figure 3.1: BC/AB = Golden Section Ratio