We consider algorithmic aspects of improving calculations of octonion product. Octonions
together with quaternions represent a variety of hypercomplex numbers. An advantage of …

We present an efficient algorithm to multiply two hyperbolic octonions. The direct
multiplication of two hyperbolic octonions requires 64 real multiplications and 56 real …

This paper presents a new algorithm for multiplying two Kaluza numbers. Performing this
operation directly requires 1024 real multiplications and 992 real additions. We presented in …

In this work a rationalized algorithm for Dirac numbers multiplication is presented. This
algorithm has a low computational complexity feature and is well suited to parallelization of …

In this paper we introduce efficient algorithm for the multiplication of trigintaduonions. The
direct multiplication of two trigintaduonions requires 1024 real multiplications and 992 real …

We analyze asymptotic ergodic capacity of multidimensional vector-sensor array MIMO
(PMD-MIMO) channels established by the use of dual-polarized antennas in the form of 1D …

In this paper we introduce efficient algorithm for the multiplication of sedenions. The direct
multiplication of two sedenions requires 256 real multiplications and 240 real additions. We …

The article shows how to represent the multiplication of two sedenionss as a vector-matrix
product. Matrfc, algebra offers not only a formalism for describing the algorithm, but it …

Анотація Рассмотрены алгоритмические аспекты рационализации вычислений
произведения октонионов, представляющих собой наряду с кватернионами …

This paper presents the derivation of a new algorithm for multiplying of two Kaluza numbers.
Performing this operation directly requires 1024 real multiplications and 992 real additions …