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awarded  Popular Question 
Sep 28 
awarded  Nice Question 
Jul 5 
awarded  Yearling 
Jul 2 
awarded  Curious 
Apr 27 
awarded  Popular Question 
Aug 14 
comment 
Can one branch of mathematics be completely learned from the perspective of another branch of mathematics?
The question atleast makes sense in the context of drawing analogies to prove theorems, may be across branches. The following quote may throw some light: "A mathematician is a person who can find analogies between theorems; a better mathematician is one who can see analogies between proofs and the best mathematician can notice analogies between theories. One can imagine that the ultimate mathematician is one who can see analogies between analogies."Stefan Banach 
Jul 31 
answered  Why is symplectic geometry so important in modern PDE ? 
Jul 5 
awarded  Yearling 
Jun 25 
awarded  Promoter 
Dec 30 
accepted  Optimization version of the Sylvester equation 
Dec 28 
comment 
The distribution of roots of elliptic polynomial
I think G.B.Folland discusses this in his Introductory book on PDE. 
Dec 27 
comment 
Optimization version of the Sylvester equation
@Suvrit Thank you for the answer. Your answer settles the fact that there exists a solution. But, my original interest, which I unfortunately did not make it clear in my post, is to get some quantitative information on the bounds of the solution w.r.t the eigenvalues of $A$ and $B$. 
Dec 27 
comment 
Triangularizing a function matrix with smooth eigenvlaues
I have figured out a way to translate the paper. Thank you once again. 
Dec 27 
comment 
Optimization version of the Sylvester equation
@Igor Khavkine Yes, my interest is in the case when the matrices have overlapping spectra. I have edited the question to reflect this. 
Dec 27 
revised 
Optimization version of the Sylvester equation
added 162 characters in body 
Dec 27 
comment 
Optimization version of the Sylvester equation
Thank you for the reference. 
Dec 26 
asked  Optimization version of the Sylvester equation 
Dec 19 
awarded  Popular Question 
Dec 12 
comment 
Triangularizing a function matrix with smooth eigenvlaues
@András Bátkai Thank you for the reference. I will try to get this paper. Is there an English translation of this paper? 
Dec 12 
comment 
Triangularizing a function matrix with smooth eigenvlaues
@Denis Serre Yes. Kato's book discusses Jordan form. But, I find that questions about Jordan form and triangular form are a bit different. For example, the matrix $$ \left(\begin{array}{cc} 1&z\\ 0&1 \end{array}\right) $$ is trivially triangulariable with smooth entries but cannot be written in Jordan form at $z=0$. 