A computational approach for the classifications of all possible derivations of nilsolitons in dimension 9

In mathematics and engineering, a manifold is topological space that locally resembles Euclidean near each point. Defining the best metric for these manifolds have several engineering science implications from controls to optimization generalized inner product applications of Gram Matrices appear in applications. These smooth geometric can be formalized by Lie Groups their Algebras on its infinitesimal elements. Nilpotent matrices are with zero power left-invariant group non-commutative properties namely non-abelian nilsoliton algebras will focus this article. study, we present an algorithm classify eigenvalues derivations 9-D non-singular matrices.