Mathematica 9 is now available
Services & Resources / Wolfram Forums
-----
 /
MathGroup Archive
1997
*January
*February
*March
*April
*May
*June
*July
*August
*September
*October
*November
*Archive Index
*Ask about this page
*Print this page
*Give us feedback
*Sign up for the Wolfram Insider

MathGroup Archive 1997

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

Search the Archive

Re: Numerical Left Eigenvectors

  • To: mathgroup at smc.vnet.net
  • Subject: [mg6392] Re: [mg6369] Numerical Left Eigenvectors
  • From: seanross at worldnet.att.net
  • Date: Sun, 16 Mar 1997 19:25:01 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

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 ent.umass.edu


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 
further.


  • Prev by Date: FrameLabel->
  • Next by Date: Re: wrong divergence?!?
  • Previous by thread: Re: Numerical Left Eigenvectors
  • Next by thread: Re: Numerical Left Eigenvectors