Is there some lower bound on the smallest eigenvalue of a n-by-n matrix?
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From: Robert Israel on 12 Feb 2010 19:40 "jionglong(a)gmail.com" <jionglong(a)gmail.com> writes: > Hi > > I am actually looking for some bounds in terms of the elements in the > original matrix. > > Gerschgorin's theorem is something like I am looking for. However, its > bound is still not so good. It's hard to give a useful answer without knowing details about your matrices, and why Gerschgorin's bounds are not good enough for you. -- Robert Israel israel(a)math.MyUniversitysInitials.ca Department of Mathematics http://www.math.ubc.ca/~israel University of British Columbia Vancouver, BC, Canada |