### 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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