MathGroup Archive 1997

[Date Index] [Thread Index] [Author Index]

Search the Archive

Re: Numerical Left Eigenvectors

  • To: mathgroup at
  • Subject: [mg6392] Re: [mg6369] Numerical Left Eigenvectors
  • From: seanross at
  • Date: Sat, 15 Mar 1997 01:21:39 -0500 (EST)
  • Sender: owner-wri-mathgroup at

Gregory Dwyer wrote:
> Greetings -
> When I use the "eigenvector" function to numerically calculate
> eigenvectors, Mathematica seems to assume that I always want right
> eigenvectors.  Is there some way to numerically calculate left eigenvectors?
> Thanks.
> Greg Dwyer.
> Entomology, UMASS Amherst
> dwyer at

What is a left eigenvector?  The only eigenvectors I know of are ones 
that satisfy the following equation:

Matrix . vector = constant vector.  Is this a right eigenvector?  Does 
left eigenvector mean
vector. Matrix = constant vector?

If so, have you looked for a way to express Matrix . column vector in 
terms of row vector . Matrix?  For a 2x2 case, it looks like 
Matrix.columnvector = rowvector.TransposeMatrix

I am not sure how commutable square matrices and vectors are supposed to 
be.  Perhaps someone else out there with experience in something like 
group theory or who has a copy of MathTensor etc. could enlighten you 

  • Prev by Date: Mathematica Journal Article electronic submission mystery
  • Next by Date: Re: wrong divergence?!?
  • Previous by thread: Re: Numerical Left Eigenvectors
  • Next by thread: Re: Numerical Left Eigenvectors