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Generalization of Heart-Oriented Rhotrix Multiplication and its Algorithm Implementation

by Ezugwu E. Absalom, Abiodun O. Ajibade, A. Mohammed
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 13 - Number 3
Year of Publication: 2011
Authors: Ezugwu E. Absalom, Abiodun O. Ajibade, A. Mohammed
10.5120/1763-2417

Ezugwu E. Absalom, Abiodun O. Ajibade, A. Mohammed . Generalization of Heart-Oriented Rhotrix Multiplication and its Algorithm Implementation. International Journal of Computer Applications. 13, 3 ( January 2011), 5-11. DOI=10.5120/1763-2417

@article{ 10.5120/1763-2417,
author = { Ezugwu E. Absalom, Abiodun O. Ajibade, A. Mohammed },
title = { Generalization of Heart-Oriented Rhotrix Multiplication and its Algorithm Implementation },
journal = { International Journal of Computer Applications },
issue_date = { January 2011 },
volume = { 13 },
number = { 3 },
month = { January },
year = { 2011 },
issn = { 0975-8887 },
pages = { 5-11 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume13/number3/1763-2417/ },
doi = { 10.5120/1763-2417 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:01:46.597285+05:30
%A Ezugwu E. Absalom
%A Abiodun O. Ajibade
%A A. Mohammed
%T Generalization of Heart-Oriented Rhotrix Multiplication and its Algorithm Implementation
%J International Journal of Computer Applications
%@ 0975-8887
%V 13
%N 3
%P 5-11
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper introduces a novel generalized concept of higher order heart-oriented rhotrix multiplication expression. The multiplication method we adapted is intended to maintain the unique properties associated with the initial definition of rhotrix. The special multiplication process can be used to solve various problems involving n x n rhotrices multiplication. Most importantly a generalized expression for representing n-dimensional rhotrix in a computational environment is presented. Sequential computational algorithm for higher order rhotrices multiplication is designed to buttress the mathematical expression, axioms and logic presented in this paper.

References
  1. Atanassov. K.T. and Shannon, A.G., 1998, International Journal of Mathematics Education in Science and Technology, 29, 898-903.
  2. Ajibade, A. O., 2003, the concept of rhotrix in mathematical enrichment, International Journal of Mathematical Education in Science and Technology, Vol. 34:2s, 175-179.
  3. Sani, B. 2004, the row-column multiplication of high dimensional rhotrices, International Journal of Mathematical Education in Science and Technology, Vol.35:5, 777-781.
  4. Sani, B. 2007, Conversion of a rhotrix to a ‘coupled matrix’, International Journal of Mathematical Education in Science and Technology, Vol. 38:5, 657-662.
  5. Singh S. K. “Scalar (dot) product”, http://cnx.org/content/m14513/1.5/, (Accessed Nov. 2010).
Index Terms

Computer Science
Information Sciences

Keywords

Rhotrix heart N-dimensional Rhotrix Main Entries Rhotrix Multiplication

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