Agreed, and note that solving the characteristic polynomial is NOT used for finding eigenvalues of any but the smallest systems. *Numerical Recipes*, which generally thinks that any citizen can write their own code to do almost anything, suggests that you leave eigenvalues to LAPACK.
Henry Rich On 2/3/2012 10:00 PM, Kip Murray wrote: > For applications get a copy of Gilbert Strang's Introduction to Linear > Algebra and read his Chapter 6 Eigenvalues and Eigenvectors. The bad > news is, this chapter starts on page 274. You are expected to > understand why he calls 2 2 $ 0.5 a projection matrix and 2 2 $ 0 1 1 0 > a reflection matrix. The good news is, he never forgets applications, > and his presentation of the math is first rate: "I try to explain rather > than to deduce." You begin to respect eigenvalues and eigenvectors when > you see their application to systems of differential equations in > section 6.3. > > On 2/3/2012 5:03 PM, Don Guinn wrote: >> >> I would appreciate comments and suggestions and where to go to better >> understand the applications of Eigenvalues and Eigenvectors. >> ---------------------------------------------------------------------- >> For information about J forums see http://www.jsoftware.com/forums.htm > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm > ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
