Open AccessOn Hadamard Product of Hypercomplex Numbers
Author(s) -
A. Da ̧sdemir,
AUTHOR_ID
Publication year - 2021
Publication title -
ķaraġandy universitetìnìn̦ habaršysy. matematika seriâsy
Language(s) - English
Resource type - Journals
eISSN - 2663-5011
pISSN - 2518-7929
DOI - 10.31489/2021m4/68-73
Subject(s) - hypercomplex number , complex hadamard matrix , mathematics , hadamard product , hadamard matrix , matrix multiplication , algebra over a field , algebraic number , hadamard transform , product (mathematics) , hadamard's maximal determinant problem , pure mathematics , hadamard three lines theorem , discrete mathematics , arithmetic , mathematical analysis , quaternion , physics , geometry , quantum mechanics , quantum
Certain product rules take various forms in the set of hypercomplex numbers. In this paper, we introduce a new multiplication form of the hypercomplex numbers that will be called «the Hadamard product», inspired by the analogous product in the real matrix space, and investigate some algebraic properties of that, including the norm of inequality. In particular, we extend our new definition and its applications to the complex matrix theory.