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Re: ill-conditioned matrix

  • To: mathgroup at
  • Subject: [mg43505] Re: [mg43455] ill-conditioned matrix
  • From: Michael Schreiber <michaelschreiber at>
  • Date: Thu, 18 Sep 2003 05:39:44 -0400 (EDT)
  • Sender: owner-wri-mathgroup at

On Wednesday, Sep 17, 2003, at 13:59 Europe/Vienna, arash yavari wrote:
> Hello,
> Does anybody know what the best way of multiplying
> ill-conditioned matrices in Mathematica is?
Mathematica Book 1.8.3 about Dot etc; more 3.7.1-3.7.12.
> I also need to solve a linear system with an ill-conditioned
> representing matrix.
LinearSolveFunction generated by LinearSolve for similar problems to 
solve again and again (New in Version 5); QRDecomposition for more 
equations than variables (over determined system). Further Examples for 
LUDecomposition relate precision of fastest approximation to fast exact 
solutions by magnitude of matrix condition number (for calculation of 
matrix condition number norms see LinearAlgebra`MatrixManipulation`).
> What is the most efficient and
> accurate way of doing this by Mathematica? Thanks!
> Regards,
> Arash
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M F Schreiber
Heimscholleg 26 Wien, A1130 Austria Europe
Michael at

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