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Topic: Optimal piecewise linear approximations to sqrt(x^2 + y^2), x >= y >=
0

Replies: 2   Last Post: Sep 15, 2009 12:29 PM

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sales@kt-algorithms.com

Posts: 78
Registered: 1/29/05
Re: Optimal piecewise linear approximations to sqrt(x^2 + y^2), x >=
y >= 0

Posted: Sep 15, 2009 10:38 AM
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To prove the above hypothesis I guess one would need to show that:

1. The suggested approximation has n+1 extrema of equal magnitude
(=E) and with alternating signs
2. That such approximation is the one minimizing the maximum |rel.
error|

Knud



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