11 citations · 23 across the 11 of their papers we have counts for
6 papers · 1 filter
Hardware-Efficient Schemes of Quaternion Multiplying Units for 2D Discrete Quaternion Fourier Transform Processors
Aleksandr Cariow, Galina Cariowa, Marina Chicheva
In this paper, we offer and discuss three efficient structural solutions for the hardware-oriented implementation of discrete quaternion Fourier transform basic operations with red…
An algorithm for multipication of Kaluza numbers
Aleksandr Cariow, Galina Cariowa, Rafał Łentek
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 addi…
An algorithm for multiplication of split-octonions
Aleksandr Cariow, Galina Cariowa, Bartosz Kubsik
In this paper we introduce efficient algorithm for the multiplication of split-octonions. The direct multiplication of two split-octonions requires 64 real multiplications and 56 r…
Derivation of a low multiplicative complexity algorithm for multiplying hyperbolic octonions
Aleksandr Cariow, Galina Cariowa, Jaroslaw Knapinski
We present an efficient algorithm to multiply two hyperbolic octonions. The direct multiplication of two hyperbolic octonions requires 64 real multiplications and 56 real additions…
A new algorithm for multiplying two Dirac numbers
Aleksandr Cariow, Galina Cariowa
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 FPGA implementa…
A Hardware-oriented Algorithm for Complex-valued Constant Matrix-vector Multiplication
Aleksandr Cariow, Galina Cariowa
In this paper we present a hardware-oriented algorithm for constant matrix-vector product calculating, when the all elements of vector and matrix are complex numbers. The proposed…