Nick Gould (Rutherford Appleton Laboratory)

Componentwise fast convergence of parameterized Newton methods
Informal discussion: Monday 26 June 2000 at 15.30, JCMB 6324

Abstract

The asymptotic convergence of parameterized Newton methods for the solution of nonlinear systems of equations is considered. It is shown that a componentwise Q-superlinear rate may be attained under standard assumptions, and that this rate may be made arbitrarily close to quadratic.

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