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W^3
Posts:
29
Registered:
4/19/11


Re: Convergence question
Posted:
Aug 9, 2011 5:23 PM


In article <fnS%p.3045$pz1.2730@news.usenetserver.com>, Richard Hayden <r.hayden@gmail.com> wrote:
> Hi, > > This seems to me that it should be trivial but I am having trouble > proving it. > > Let A be an n x n real matrix and let S be a closed subset of R^n. > Assume that y \in S is the unique solution in S of Ay = 0. > > Then if A x_n > 0 as n > \infty for x_n \in S, does it hold that x_n > > y as n > \infty? > > Would be grateful for any assistance. > > Thanks, > > Richard.
Perhaps you would like to assume S is closed and convex?



