Secant Hessian Approximation

Problem

The secant equation in one dimension approximates the second derivative by the slope of the gradient: H ≈ (g(x1) - g(x0)) / (x1 - x0).

Given the two gradient values and the two points, return the approximation.

Hint

This is the finite-difference slope of the gradient function.

case 1

in: [6,2,2,0]

expected: 2

case 2

in: [-1,1,1,0]

expected: -2

case 3

in: [0,0,5,1]

expected: 0

Starter codePython

def secant_hessian_approximation(g1, g0, x1, x0):
    # Your code here
    pass

3 test cases · run your code against them in the editor