On robust multiplication method for higher even-dimensional rhotrices

A. O. Isere and T. O. Utoyo
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 31, 2025, Number 2, Pages 340–360
DOI: 10.7546/nntdm.2025.31.2.340-360
Full paper (PDF, 269 Kb)

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Authors and affiliations

A. O. Isere
Department of Mathematics, Ambrose Alli University
Ekpoma 310001, Nigeria

T. O. Utoyo
Department of Mathematics, Federal University of Petroleum Resources
Effurun, Nigeria

Abstract

Rhotrices (heart-oriented) are often multiplied either by heart-based or row-column multiplication method. The element-wise multiplication method for higher even-dimensional rhotrices has recently been introduced in [9]. However, this type of multiplication method, though simple, is less robust. Hence, we present a multiplication method called “Robust Multiplication Method” (RMM) for higher even-dimensional rhotrices (hl-rhotrices), and a number of rediscovered properties of hl-rhotrices. Analysis and examples of RMM for some hl-rhotrices are presented for demonstration purposes.

Keywords

• Rhotrices
• High hl-rhotrices
• Minors
• Robust multiplication method

2020 Mathematics Subject Classification

• 15B99
• 08-02

References

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Manuscript history

• Received: 17 October 2024
• Revised: 9 May 2025
• Accepted: 2 June 2025
• Online First: 9 June 2025

Copyright information

Ⓒ 2025 by the Authors.
This is an Open Access paper distributed under the terms and conditions of the Creative Commons Attribution 4.0 International License (CC BY 4.0).