Convergence Rate for Numerical Methods: Conditions and Positivity

[sara_87]

Homework Statement

If we find the convergence rate of a numerical method, does this rate have to be positive? and are there any conditions eg rate must be less than 1?

Homework Equations

The Attempt at a Solution

Thank you

 

[lanedance]

what do you think?

zero or negative convergence rate would imply that the solution is not improving or actually diverging to me.

it may help to define exactly what the convergnce rate actually is