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MathGroup Archive 2000

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Re: How to solve the system of linear equations?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg25439] Re: How to solve the system of linear equations?
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Sun, 1 Oct 2000 02:44:22 -0400 (EDT)
  • Organization: Universitaet Leipzig
  • References: <8r17ui$h8r@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

?SingularValues

"SingularValues[m] gives the singular value decomposition for a
numerical \
matrix m. The result is a list {u, w, v}, where w is the list of
singular \
values, and m can be written as
Conjugate[Transpose[u]].DiagonalMatrix[w].v."

Regards
  Jens

Zak Levi wrote:
> 
> Dear Mathematica experts,
> 
> How to solve, in Mathematica, the system of linear equations,
> 
> when a number of equations is larger than a number of variables.
> 
> Another system easily pass to apply LSM in this case, but it seems to
> me that there is no such opportunity in Mathematica.
> 
> As an application, given N>5 points at plane, how to calculate (the
> parameters) of best fitting ellipse.
> 
> Thanks a lot,
> ZL


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