The matrix equation XA-AX=f(X)

Mathematics – Rings and Algebras

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

11 pages

Scientific paper

Let f be an analytic function defined on a complex domain Omega and A be a (n,n) complex matrix. We assume that there exists a unique alpha satisfying f(alpha)=0. When f'(alpha)=0 and A is non derogatory, we solve completely the equation XA-AX=f(X). This generalizes Burde's results. When f'(alpha) is not zero, we give a method to solve completely the equation XA-AX=f(X): we reduce the problem to solve a sequence of Sylvester equations. Solutions of the equation f(XA-AX)=X are also given in particular cases.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

The matrix equation XA-AX=f(X) does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The matrix equation XA-AX=f(X), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The matrix equation XA-AX=f(X) will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-57957

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.