Determines a local minimum of a given 1D function with the help of a bracketing of the minimum. This node uses the golden section search method.
Left point of the bracketing interval.
Default: 0
Middle point of the bracketing interval.
Default: 0
Right point of the bracketing interval.
Default: 0
Error conditions that occur before this node runs.
The node responds to this input according to standard error behavior.
Standard Error Behavior
Many nodes provide an error in input and an error out output so that the node can respond to and communicate errors that occur while code is running. The value of error in specifies whether an error occurred before the node runs. Most nodes respond to values of error in in a standard, predictable way.
Default: No error
Accuracy of the minimum of the formula.
The node stops running if the difference between two consecutive approximations equals to or is less than the value of accuracy.
Default: 1E-08
Local minimum of the formula.
Function value at the local minimum.
Error information.
The node produces this output according to standard error behavior.
Standard Error Behavior
Many nodes provide an error in input and an error out output so that the node can respond to and communicate errors that occur while code is running. The value of error in specifies whether an error occurred before the node runs. Most nodes respond to values of error in in a standard, predictable way.
A bracketing triplet (a, b, c) of a 1D continuous function f is a combination of three points with f(a) > f(b) and f(c) > f(b). This guarantees the existence of a local minimum of f in the interval (a, c).
Beginning with a bracketing triplet (a, b, c), the golden section search method determines a new bracketing triplet with a considerably smaller expansion. Repeating this scheme often yields a good approximation of the local minimum. The following equation essentially calculates the new bracketing point.
The following figure shows the relationship between a, b, c and f(a), f(b), f(c).
Where This Node Can Run:
Desktop OS: Windows
FPGA: This product does not support FPGA devices