What is the advantages of secant method?

Answer 1

Advantages of secant method:

1. It converges at faster than a linear rate, so that it is more rapidly

convergent than the bisection method.

2. It does not require use of the derivative of the

function, something that is not available in a number

of applications.

3. It requires only one function evaluation per iteration,

as compared with Newton's method which requires

two.

Disadvantages of secant method:

1. It may not converge.

2. There is no guaranteed error bound for the computed

iterates.

3. It is likely to have difficulty if f 0(α) = 0. This

means the x-axis is tangent to the graph of y = f (x)

at x = α.

4. Newton's method generalizes more easily to new

methods for solving simultaneous systems of nonlinear

equations.