What are the performance metrics of iterative methods in numerical analysis?

What are the performance metrics of iterative methods in numerical analysis?

The performance of iterative methods is often evaluated based on convergence rate, stability, and computational efficiency.

Can you explain what convergence rate means?

Convergence rate refers to how quickly an iterative method approaches the exact solution. It's often measured in terms of the number of iterations required to achieve a certain level of accuracy.

What factors affect the convergence rate?

Factors include the choice of initial guess, the nature of the function being solved, and the specific algorithm used.

Are there specific iterative methods that are more efficient?

Yes, methods like Newton's method and the Jacobi method can be more efficient depending on the problem's characteristics.