Question

Newton-Raphson process has a

• A. Linear convergence
• B. Quadratic convergence
• C. Cubic convergence
• D. None of these

Answer 1

The correct option is B

Quadratic convergence

Explanation for the correct option.

Finding Newton-Raphson process has a

• The Newton-Raphson method also known as Newton's method is a way to quickly find a good approximation for the root of a real-valued function $f(x)=0f\left(x\right)=0f\left(x\right)=0.$
• It uses the idea that a continuous and differentiable function can be approximated by a straight line tangent to it.
• In general the convergence is quadratic: as the method converges on the root, the difference between the root and the approximation is squared (the number of accurate digits roughly doubles) at each step.

Hence, option (B) is correct.