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Topic: Math challenge.
Replies: 4   Last Post: Sep 22, 2013 6:26 PM

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Peter Percival

Posts: 2,623
Registered: 10/25/10
Re: Math challenge.
Posted: Sep 4, 2013 5:54 AM
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Domingo Gomez Morin wrote:
> In page 44 of the book shown in the link below,
> kth powered matrices trivially generate either Householder's,Newton's, Halley's and other new high-order iterated functions for approximating roots, at any desired convergence rate k.
> No derivatives, no infinitesimal calculus, no cartesian system, but just
> simple arithmetic.

How is it proved that the methods work?
> Were you taught on school on these simple high-order root-approximating methods?
> No?
> Yes? Then show any precedent on those methods?
> Regards,

Sorrow in all lands, and grievous omens.
Great anger in the dragon of the hills,
And silent now the earth's green oracles
That will not speak again of innocence.
David Sutton -- Geomancies

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