# Joe

 Jan 30 awarded Notable Question Sep 28 awarded Popular Question Apr 26 awarded Popular Question Mar 28 accepted Square root entries of matrices Mar 28 comment Square root entries of matricesHi adam W, Agreed! Intuitively, I thought it would be extremely difficult to do any sort of simplification on this seemimngly innocuous equation and your comments just confirms this! Thanks very much!! Mar 28 comment Square root entries of matricesHi Marvis, please have a look at the question again if you do not mind. I have rewritten it in a more digestible form. Again, given the matrix I posted, how would one go about simplifying this if the entries of the matrices are unknown. Note that the number is a real number. Mar 28 revised Square root entries of matricesdeleted 232 characters in body Mar 28 asked Square root entries of matrices Aug 26 awarded Tumbleweed Jul 13 comment Singular Perturbation Problem? Asymptotics?Right! Gosh, this just makes thing a little trickier now. Thanks a bunch! Jul 13 comment Singular Perturbation Problem? Asymptotics?Hmm, so what this means is that for $p\in(0,1)$ my boundary conditions wouldn't work and your example illustrates just that. I am tempted to try letting $p=1$ just to see if my boundary condition works. I have a strong feeling the latter will be valid though it might be wrong! Nonetheless, thanks for the helpful comment. You gave me a lot to think about! Edit: You are absolutely right. The boundary conditions do not work, unfortunately even for $p=1$. Why do you think this occur? The equation and boundaries arose from modelling a physical phenomena. Jul 13 comment Singular Perturbation Problem? Asymptotics?Hmm, so what this means is that for $p\in(0,1)$ my boundary conditions wouldn't work and your example illustrates just that. I am tempted to try letting $p=1$ just to see if my boundary condition works. I have a strong feeling the latter will be valid though it might be wrong! Nonetheless, thanks for the helpful comment. You gave me a lot to think about! Jul 12 awarded Supporter Jul 12 comment Singular Perturbation Problem? Asymptotics?I see! Thanks for the information! Jul 12 comment Singular Perturbation Problem? Asymptotics?@ Andrew WintersWhat do you mean by Gauge Functions? Wiki wasn't very helpful when it comes to this! Jul 12 comment Singular Perturbation Problem? Asymptotics?I think I see what you mean. If we choose $p>1$ there is no way to balance out the $\epsilon$ terms whereas if we choose \$0