Polynomial SOS
In mathematics, a form (i.e. a homogeneous polynomial) h(x) of degree 2m in the real n-dimensional vector x is sum of squares of forms (SOS) if and only if there exist forms g 1 ( x ) , … , g k ( x ) {\displaystyle g_{1}(x),\ldots ,g_{k}(x)} of degree m such that h ( x ) = ∑ i = 1 k g i ( x ) 2 .