The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.math

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

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

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]

Posts: 29
Registered: 4/19/11
Re: Convergence question
Posted: Aug 9, 2011 5:23 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

In article <fnS%p.3045$>,
Richard Hayden <> 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?

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.