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MathGroup Archive 2004

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Re: Matrix Inversion

  • To: mathgroup at
  • Subject: [mg48039] Re: Matrix Inversion
  • From: Thomas E Burton <tburton at>
  • Date: Sat, 8 May 2004 01:23:43 -0400 (EDT)
  • Sender: owner-wri-mathgroup at


If your matrix were badly conditioned, another system would probably 
also have trouble. Often the matrix merely needs rescaling. I use the 

scaledInverse[m_?MatrixQ] :=
   With[{scale = MapIndexed[If[#2[[1]] == #2[[2]], 1/Sqrt[#1], 0] & , m, 
     scale . Inverse[scale . m . scale] . scale

Tom Burton

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