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.