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Topic: Convergence question
Replies: 4   Last Post: Aug 9, 2011 5:23 PM

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W^3

Posts: 29
Registered: 4/19/11
Re: Convergence question
Posted: Aug 9, 2011 5:23 PM
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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?



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