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This non-local convergence result is proved by showing semi-global practical stability of the closed-loop system with respect to the design parameters.
Algorithm that combines the rapid local convergence of Newton Raphson method with globally convergent method for non-linear systems of equations is applied for theoretically obtained differential spectra.
Equation (12) is highly non-linear and non-convex, hence, an improper selection of the initial guess may lead to a local convergence which is deviated from a global minimal.
Local convergence rate theorem.
Significantly improved (local) convergence orders are obtained.
We have the following local convergence result.
Local convergence is guaranteed in the nonlinear setting.
Now, we study the local convergence analysis for Algorithm 1.3.
Local convergence will be given under some reasonable assumptions.
The local convergence in measure is defined accordingly.
This may reach a state of local convergence.
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CEO of Professional Science Editing for Scientists @ prosciediting.com