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MathGroup Archive 1992

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Eigensystems

  • To: mathgroup at yoda.physics.unc.edu
  • Subject: Eigensystems
  • From: billl at helmholtz.sdsc.edu (Bill Lytton)
  • Date: Thu, 18 Jun 92 10:21:25 PDT

It may be a feature but it looks like a bug to me:

Eigenvalues[mat] does not return the list in the same order as
Eigensystem[mat][[1]]

This change in order means that the result of Eigenvalues[] cannot be
used together with Eigenvectors[] i.e.

mat.Transpose[Eigenvectors[mat]] != 
	Transpose[Eigenvectors[mat]].DiagonalMatrix[Eigenvalues[mat]]

Eigensystem[] is internally consistent.

Bill
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Bill Lytton				billl at helmholtz.sdsc.edu
Salk Institute				tel 619 453 4100 x124
10010 N. Torrey Pines Rd.		fax 619 587 0417
La Jolla, CA  92037			
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