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MathGroup Archive 2004

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Re: please solve

  • To: mathgroup at smc.vnet.net
  • Subject: [mg52962] Re: please solve
  • From: Robert <robert_dot_paynter_ at _eng_.ox.ac.uk>
  • Date: Sat, 18 Dec 2004 03:59:35 -0500 (EST)
  • Organization: Oxford University, England
  • References: <cprk0m$r87$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

rcmcll at yahoo.com wrote:
> Greetings:
> 
> Could someone please solve this symbolically?
> This is just the ols formula for beta-hat but I need a symbolic
> solution for this special case.
> 
> b = inv(x'x)x'y
> 
> where
> 
> x =  1  t  t^2
> 1  t  t^2
> 1  t  t^2
> 
> 
> and simplify simplify simplify!!
> 
> Thanks,
> 
> Bob
> 
Bob,
     I suggest you look at the formulations for
Savitsky-Golay filtering, they should get you there
in a nice systematic way, ie you will be able to
extend if you wish.  Perhaps searching for links
more usually associated with signal & image
processing might help.

Regards

Bob

I really prefer my full name:
Robert


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