Computing characteristics of one class of non-commutative hypercomplex number systems of 4-dimension

Computing characteristics of one class of non-commutative hypercomplex number systems of 4-dimension

The class of non-commutative hypercomplex number systems (HNS) of 4-dimension constructed by using of non-commutative procedure of Grassman-Clifford doubling of 2-dimensional systems is investigated. All HNS of this class are constructed, algorithms of performance of operations and methods of algebr...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Datum:	2014
Hauptverfasser:	Kalinovsky, Ya. O., Boyarinova, Yu. E., Turenko, A. S.
Format:	Artikel
Sprache:	Ukrainian
Veröffentlicht:	Інститут проблем реєстрації інформації НАН України 2014
Schlagworte:	quaternion hypercomplex number system zero divisor pseudonorm conjugation Grassman-Clifford procedure of doubling
Online Zugang:	http://drsp.ipri.kiev.ua/article/view/100278
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:	Data Recording, Storage & Processing

Institution

Data Recording, Storage & Processing

Ähnliche Einträge

Study of relations between the generalized quaternions and procedure of doubling of hypercomplex numerical systems
von: Kalinovsky, Ya. O., et al.
Veröffentlicht: (2015)

Synthesis of matrix representations of generalized quaternions
von: Kalinovsky, Ya. O., et al.
Veröffentlicht: (2014)

Studying the Properties of a Single Hypercomplex Generalization of Quaternions
von: Turenko, A. S.
Veröffentlicht: (2014)

Constructing representations of the logarithmic function in the same class of commutative hypercomplex numerical systems of fourth dimension
von: Kalinovskiy, J. A., et al.
Veröffentlicht: (2016)

Studying of Computing Properties of System of Antiquaternions
von: Turenko, A. S.
Veröffentlicht: (2014)

Hypercomplex Parametric Numerical System in the Mathematical Modeling
von: Klipkov, S. I.
Veröffentlicht: (2013)

A study of algebraic and functional properties of generalized hyper-complex number systems of fourth dimension
von: Kalynovskyi, J. A., et al.
Veröffentlicht: (2017)

Structure of an algoritsm for quick two-dimensional convolution by means of isomorphing hypercomplex numerical systems
von: Kalinovsky, Ya. A., et al.
Veröffentlicht: (2018)

The General Case of an Isomorphism of Commutative Hypercomplex Number Systems and Presentation of Exponential Functions in Them
von: Kalinovsky, Ja. A., et al.
Veröffentlicht: (2012)

Criteria Conceived Commutative Hypercomplex Number Systems Direct Sum of Low-Dimensional Systems
von: Kalinovsky, J. А.
Veröffentlicht: (2012)

Hypercomplex Approach to Modeling of Reputation in Social Networks
von: Lande, D. V., et al.
Veröffentlicht: (2013)

Recursive method for constructing linear convolution algorithms of various lengths using hypercomplex number systems.
von: Kalinovsky, Ya. A., et al.
Veröffentlicht: (2019)

Isomorphism of Commutative Hypercomplex Number Systems and Representations of Exponential Functions in Them
von: Каліновський, Я. О., et al.
Veröffentlicht: (2012)

Algorithms for Fast Computation of Cyclic Convolutions with the Notion of Discrete Signals Hypercomplex Numbers
von: Kalinovsky, Ya. O., et al.
Veröffentlicht: (2014)

Development of representations of hyperbolic and trigonometric nonlinearities inside the system of generalized quaternions
von: Kalinovsky, Ya. O., et al.
Veröffentlicht: (2016)

Method of hypercomplex numbers systems generation for modeling digital reversible filters of 4th order
von: Kalinovsky, Ya. A., et al.
Veröffentlicht: (2019)

Investigation of properties of generalized hyper-number systems of the fourth order found with help of the Grassmann-Clifford doubling procedure
von: Kalinovsky, J. A., et al.
Veröffentlicht: (2016)

Construction of High-Dimensional Isomorphic Hypercomplex Number Systems
von: Боярінова, Ю. Є., et al.
Veröffentlicht: (2012)

Mathematical modeling representations of exponential and logarithmic functions in the hypercomplex numerical system of generalized quaternions
von: Kalinovsky, Ya. O., et al.
Veröffentlicht: (2015)

Dynamic network model based on the use of hypercomplex number systems
von: Ланде, Д. В., et al.
Veröffentlicht: (2020)

Study of Symmetries Operator of Isomorphism Hypercomplex Number Systems and Their Application for the Synthesis of Algorithms of Fast Calculations of Cyclic Convolution
von: Kalinovsky, Ya. O.
Veröffentlicht: (2014)

Generalized analysis of matrix representations for associative hypercomplex number systems used in power engineering
von: Klipkov, S. I.
Veröffentlicht: (2014)

A method of selecting hyper complex numbers systems for modeling digital reversible filters
von: Kalinovsky, Ya. A., et al.
Veröffentlicht: (2019)

The edge chromatic number of \(\Gamma_{I}(R)\)
von: Kala, R., et al.
Veröffentlicht: (2018)

System of hypercpomplex operations in Maple
von: Kalinovsky, J. А., et al.
Veröffentlicht: (2017)

Algorithmic and Structural Circuit Technology Characteristics for Hardware Implementation of Operations with Quaternions in Functional Processors
von: Kalinovsky, Ya.O., et al.
Veröffentlicht: (2013)

Features of representations of exponential functions in HNS of high dimensions by software of hypercomplex calculations
von: Боярінова, Ю. Є., et al.
Veröffentlicht: (2021)

Application of non-canonical hypercomplex numerical systems to optimize total parametric sensitivity of reversible digital filters
von: Kalinovsky, Ya. O., et al.
Veröffentlicht: (2014)

On the zero forcing number of graphs and their splitting graphs
von: Chacko, Baby, et al.
Veröffentlicht: (2019)

On the zero forcing number of graphs and their splitting graphs
von: Chacko, Baby, et al.
Veröffentlicht: (2019)

Colour class domination numbers of some classes of graphs
von: Venkatakrishnan, Yanamandram B., et al.
Veröffentlicht: (2018)

Colour class domination numbers of some classes of graphs
von: Venkatakrishnan, Yanamandram B., et al.
Veröffentlicht: (2018)

Constructing representations of the logarithmic function in the same class of commutative hypercomplex numerical systems of fourth dimension
von: Dodonov, O. G., et al.
Veröffentlicht: (2016)

Research of computing operations in hypercomplex number system of antiquaternions
von: Ja. A. Kalinovskij, et al.
Veröffentlicht: (2014)

Building a digital signature algorithm with use of functions of generalized quaternions
von: Kalinovsky, Ya. O., et al.
Veröffentlicht: (2015)

The Structure of a Hyper Fast Calculation Method Linear Convolution of Discrete Signals
von: Калиновський, Я. О.
Veröffentlicht: (2013)

Some properties of the nilradical and non-nilradical graphs over finite commutative ring \(\mathbb{Z}_n\)
von: Chandra, Shalini, et al.
Veröffentlicht: (2018)

Use of methods for generating isomorphic hypercomplex number systems to increase the efficiency of multiplying hypercomplex numbers
von: Ja. O. Kalinovskij, et al.
Veröffentlicht: (2018)

Cryptographic Protection of Information Objects by Block Transformation of the System of Residual Classes to a Positional Number System
von: Mаtоv, О. Y., et al.
Veröffentlicht: (2012)

A study of efficiency usage of representations for functions of hype-complex variable
von: Kalinovsky, Ya. O., et al.
Veröffentlicht: (2016)