Research Article
Generalization of Heart-Oriented Rhotrix Multiplication and its Algorithm Implementation
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
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| Volume 13 - Issue 3 |
| Published: January 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 },
year = { 2011 },
volume = { 13 },
number = { 3 },
pages = { 5-11 },
doi = { 10.5120/1763-2417 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2011
%A Ezugwu E. Absalom
%A Abiodun O. Ajibade
%A A. Mohammed
%T Generalization of Heart-Oriented Rhotrix Multiplication and its Algorithm Implementation%T
%J International Journal of Computer Applications
%V 13
%N 3
%P 5-11
%R 10.5120/1763-2417
%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
- Atanassov. K.T. and Shannon, A.G., 1998, International Journal of Mathematics Education in Science and Technology, 29, 898-903.
- 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.
- 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.
- 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.
- Singh S. K. “Scalar (dot) product”, http://cnx.org/content/m14513/1.5/, (Accessed Nov. 2010).
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