Newton's method - Wikipedia
en.wikipedia.org › wiki › Newton&Many transcendental equations can be solved using Newton's method. Given the equation = (), with g(x) and/or h(x) a transcendental function, one writes = (). The values of x that solve the original equation are then the roots of f (x), which may be found via Newton's method.
Newton's method - Wikipedia
https://en.wikipedia.org/wiki/Newton's_methodWhen dealing with complex functions, Newton's method can be directly applied to find their zeroes. Each zero has a basin of attraction in the complex plane, the set of all starting values that cause the method to converge to that particular zero. These sets can be mapped as in the image shown. For many complex functions, the boundaries of the basins of attraction are fractals.