problem. A mathematical model based on the Physarum's behavior, known as the

Physarum Directed Dynamics, can solve positive linear programs. In this paper,

we will propose a Physarum based dynamic based on the previous work and

introduce a new way to solve positive Semi-Definite Programming (SDP) problems,

which are more general than positive linear programs. Empirical results suggest

that this extension of the dynamic can solve the positive SDP showing that the

nature-inspired algorithm can solve one of the hardest problems in the

polynomial domain. In this work, we will formulate an accurate algorithm to

solve positive and some non-negative SDPs and formally prove some key

characteristics of this solver thus inspiring future work to try and refine

this method.

},\n}\n"