# Secant method

### From Glossary

A method to find a root of a univariate function, say F. The iterate is

If
the order of convergence is the golden mean, say g (approx.= 1.618), and the limiting ratio is:

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Golden mean |

The golden mean, or golden ratio is the positive solution to the quadratic equation, , which is , or approximately . This has the proportionality property: , which defines the placements of evaluations for the golden section search.