Asymptotic stability means that solutions that start close enough not only remain close enough but also eventually converge to the equilibrium.

Exponential stability means that solutions not only converge, but in fact converge faster than or at least as fast as a particular known rate .

Converged infrastructure offers a solution to these challenges.

As noted above, the iterative solution to the inverse problem fails to converge or converges slowly for nearly antipodal points.

Its solution converges to the Wiener filter solution.

This cycle is repeated until the solution converges.

In this case the solution may not converge or the rate of convergence will be too less.

Convergent problems are ones in which attempted solutions gradually converge on one solution or answer.

Then, the numerical solution converges to the exact solution as if and only if the method is zero-stable.

Thus by including increasingly more beam elements to a problem, the solution will converge to the exact result.