Halley’s Method

Newton’s method uses a function’s first derivative to approximate a zero of that function; geometrically it can be realized as lines tangent to the function’s graph intersecting the axis. Halley’s method is a generalization of Newton’s method. Halley’s method using a function’s first and second derivative to approximate a zero of that function; geometrically it can be realized as hyperbolas tangent to the function’s graph intersecting the axis.