most recent 30 from http://mathoverflow.net 2013-05-26T03:59:36Z http://mathoverflow.net/feeds/question/94138 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/94138/matrix-elimination zimbra314 2012-04-15T19:01:44Z 2012-04-16T06:11:25Z

<p>$A$ is symmetric positive definite matrix and $S$ is such that $A=SS^{T}$. Further </p> <p>$y=Sz$<br> Does there exist a simple ( or any verifiable) relation exist only involving $A$,$y$ and $z$ ?</p> <p>Thanks </p>

http://mathoverflow.net/questions/94138/matrix-elimination/94183#94183 Igor Khavkine 2012-04-16T06:11:25Z 2012-04-16T06:11:25Z

<p>Your last comment confirms the tentative answer I gave in the comment above. All you need to check is the scalar relation $y^T A^{-1} y = z^T z$.</p>