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App Description
The Golden Section Search is used to find the maximum or minimum of a continuous, unimodal function. A unimodal function is a function which contains only one minimum or maximum on an interval [a,b].
The Golden Section Search technique successively narrows a range of values inside a function where the extrenum is know to exist. The algorithm maintains the function values for triples of points whose distances form a golden ratio.
The Golden Section Search app executes the search only for the Minimum values.
The Golden Section Search iPad app provides for a slider data entry technique for the interval [a,b] with a range of [-10.0,10.0].
Interval [a,b] is the lower endpoint of the initial interval which contains a local minimum. For output Interval [a1,b1] is the lower endpoint of the final subinterval which contains the local minimum. Function values [f(a), f(b), f(a1) and f(b1)] are computed.
A graph displays the Interval and Function values.
App Changes
- July 19, 2015 Initial release
- October 19, 2015 New version 1.1
- November 07, 2016 New version 1.2
- June 15, 2019 New version 1.3
- July 14, 2020 New version 1.4
- November 12, 2020 New version 1.5