Rationalized procedures of FDWT/IDWT basic operations execution for DB4, DB6 and coif6 filters. - Marek Gliszczynski; Galina Cariowa; Aleksandr Cariow (PDeS, 2012)

Rationalized algorithm for computing the product of two sedenions. - Aleksandr Cariow; Galina Cariowa (Central Eur. J. Comput. Sci., 2012)

An algorithm for fast multiplication of sedenions. - Aleksandr Cariow; Galina Cariowa (Inf. Process. Lett., 2013)

On the Multiplication of Biquaternions. - Aleksandr Cariow; Galina Cariowa (ACS, 2014)

A Hardware-oriented Algorithm for Complex-valued Constant Matrix-vector Multiplication. - Aleksandr Cariow; Galina Cariowa (CoRR, 2014)

An algorithm for fast computation of the multiresolution discrete Fourier transform. - Bartosz Andreatto; Aleksandr Cariow (CoRR, 2015)

A new algorithm for multiplying two Dirac numbers. - Aleksandr Cariow; Galina Cariowa (CoRR, 2015)

Derivation of a low multiplicative complexity algorithm for multiplying hyperbolic octonions. - Aleksandr Cariow; Galina Cariowa; Jaroslaw Knapinski (CoRR, 2015)

An algorithm for multiplication of split-octonions. - Aleksandr Cariow; Galina Cariowa; Bartosz Kubsik (CoRR, 2015)

An algorithm for multipication of Kaluza numbers. - Aleksandr Cariow; Galina Cariowa; Rafal Lentek (CoRR, 2015)

An algorithm for discrete fractional Hadamard transform. - Aleksandr Cariow; Dorota Majorkowska-Mech (CoRR, 2015)

Fast algorithm for discrete fractional Hadamard transform. - Aleksandr Cariow; Dorota Majorkowska-Mech (Numer. Algorithms, 2015)

An Algorithm for the Vandermonde Matrix-Vector Multiplication with Reduced Multiplicative Complexity. - Aleksandr Cariow; Galina Cariowa (ACS, 2016)

An algorithm for dividing two complex numbers. - Aleksandr Cariow (CoRR, 2016)

A Hardware-Efficient Approach to Computing the Rotation Matrix from a Quaternion. - Aleksandr Cariow; Galina Cariowa (CoRR, 2016)

Some Schemes for Implementation of Arithmetic Operations with Complex Numbers Using Squaring Units. - Aleksandr Cariow; Galina Cariowa (CoRR, 2017)

Hardware-Efficient Schemes of Quaternion Multiplying Units for 2D Discrete Quaternion Fourier Transform Processors. - Aleksandr Cariow; Galina Cariowa; Marina Chicheva (CoRR, 2017)

A Low-Complexity Approach to Computation of the Discrete Fractional Fourier Transform. - Dorota Majorkowska-Mech; Aleksandr Cariow (Circuits Syst. Signal Process., 2017)

Hardware-Efficient Algorithm for 3D Spatial Rotation. - Aleksandr Cariow; Galina Cariowa (ACS, 2018)

An Algorithm for Computing the True Discrete Fractional Fourier Transform. - Dorota Majorkowska-Mech; Aleksandr Cariow (ACS, 2018)

A Fast Algorithm for Quaternion-Based 4D Rotation. - Aleksandr Cariow; Galina Cariowa; Dorota Majorkowska-Mech (ICCVG, 2018)

Hardware-Efficient Structure of the Accelerating Module for Implementation of Convolutional Neural Network Basic Operation. - Aleksandr Cariow; Galina Cariowa (CoRR, 2018)

Automatic generation of fast algorithms for matrix-vector multiplication. - Bartosz Andreatto; Aleksandr Cariow (Int. J. Comput. Math., 2018)

A New Fast Algorithm for Discrete Fractional Hadamard Transform. - Aleksandr Cariow; Dorota Majorkowska-Mech; Janusz P. Paplinski; Galina Cariowa (IEEE Trans. Circuits Syst. I Regul. Pap., 2019)

An Algorithm for Quaternion-Based 3D Rotation. - Aleksandr Cariow; Galina Cariowa; Dorota Majorkowska-Mech (Int. J. Appl. Math. Comput. Sci., 2020)

Minimal Filtering Algorithms for Convolutional Neural Networks. - Aleksandr Cariow; Galina Cariowa (CoRR, 2020)

An algorithm for dividing quaternions. - Aleksandr Cariow; Galina Cariowa (CoRR, 2020)

Discrete Pseudo-Fractional Hadamard Transform and its Fast Algorithm. - Dorota Majorkowska-Mech; Aleksandr Cariow (IEEE Signal Process. Lett., 2020)

A Parallel Algorithm for Dividing Octonions. - Aleksandr Cariow; Janusz P. Paplinski (Algorithms, 2021)

Fast Algorithms for Quaternion-Valued Convolutional Neural Networks. - Aleksandr Cariow; Galina Cariowa (IEEE Trans. Neural Networks Learn. Syst., 2021)

Fast Algorithms for Deep Octonion Networks. - Aleksandr Cariow; Galina Cariowa (IEEE Trans. Neural Networks Learn. Syst., 2023)

Fast algorithms for complex-valued discrete Fourier transform with separate real and imaginary inputs/outputs. - Aleksandr Cariow (CoRR, 2025)

Reduced-Complexity Algorithms for Tessarine Neural Networks. - Aleksandr Cariow; Galina Cariowa (IEEE Trans. Neural Networks Learn. Syst., 2025)