On Hadamard Product of Hypercomplex Numbers

Abstract

Certain product rules take various forms in the set of hypercomplex numbers. In this paper, we introduced a new multiplication form of the hypercomplex numbers that would be called «the Hadamard product», inspired by the analogous product in the real matrix space, and investigated some algebraic properties of that, including the norm of inequality. In particular, we extended our new definition and its applications to the complex matrix theory.