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Science Forum Index » Mathematics Forum » ? derivative of max norm...
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| Cheng Cosine... |
 Posted: Fri Aug 01, 2008 1:55 pm |
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The def of max norm of a vector is: max( abs(x_i), i = 1 to N ).
But how does one determine its derivative?
Thank you, |
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| Robert Israel... |
| Posted: Fri Aug 01, 2008 7:32 pm |
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Quote: The def of max norm of a vector is: max( abs(x_i), i = 1 to N ).
But how does one determine its derivative?
Thank you,
The partial deriv wrt x_i is 1 if ||x|| = x_i > all other |x_j|
-1 if ||x|| = -x_i > all other |x_j|
0 if |x_i| < ||x||
undefined otherwise
--
Robert Israel israel at (no spam) math.MyUniversitysInitials.ca
Department of Mathematics http://www.math.ubc.ca/~israel
University of British Columbia Vancouver, BC, Canada |
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| The World Wide Wade... |
| Posted: Fri Aug 01, 2008 7:34 pm |
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In article
<b2250d68-efbf-4ab1-84ec-5f3d5ec2353d at (no spam) e53g2000hsa.googlegroups.com>,
Cheng Cosine <asecant at (no spam) gmail.com> wrote:
Quote: The def of max norm of a vector is: max( abs(x_i), i = 1 to N ).
But how does one determine its derivative?
Thank you,
By using a precise definition of derivative and then thinking about
it. Really, how much thought have you put into this? Care to share
some ideas you've tried? |
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