# LMIs in Control/pages/Reciprocal Projection Lemma

< LMIs in Control | pages

*WIP, Description in progress*

Another condition for eliminating a variable in an LMI called reciprocal projection lemma is introduced.

## Reciprocal Projection LemmaEdit

For a given symmetric matricx , there exists a matrix satisfying

if and only if, for an arbitrarily fixed symmetric matrix , there exist a matrix satisfying

.

*WIP, additional references to be added*

## External LinksEdit

A list of references documenting and validating the LMI.