Agents Network on a Grid: An Approach with the Set of Circulant Operators
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Agents Network on a Grid: An Approach with the Set of Circulant Operators

Authors: Babiga Birregah, Prosper K. Doh, Kondo H. Adjallah

Abstract:

In this work we present some matrix operators named circulant operators and their action on square matrices. This study on square matrices provides new insights into the structure of the space of square matrices. Moreover it can be useful in various fields as in agents networking on Grid or large-scale distributed self-organizing grid systems.

Keywords: Pascal matrices, Binomial Recursion, Circulant Operators, Square Matrix Bipartition, Local Network, Parallel networks of agents.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1075378

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[1] Gregory S. Call; Daniel J. Velleman, Pascal-s Matrices, The American Mathematical Mounthly,100, 4, 1993, pp. 372-376
[2] Prosper Kwaku Doh, Twelve Matrix Form of the Arithmetic Triangle: Mathematical Tools, Relation Diagrams, Personnal Communications, 2004,
[3] Prosper Kwaku Doh, Courbes param'etriques polynomiales et formes matricielles du th'eor`eme binomial: Nouveaux outils fondamentaux pour la conception et fabrication assiste par ordinateur, Thse, Universit'e de Nancy, 1988
[4] Alan Edelman and Gilbert Strang, Pascal-s Matrices, The American Mathematical Mounthly, 111, 3, pp. 189-197, March 2004
[5] Teijo Arponen, Matrix approach to polynomials 2, Linear Algebra and its Applications, 394, pp. 257-276, 2005
[6] Y. Ben-Asher , D. Peleg , R. Ramaswami and A. Schuster, The power of reconfiguration Journal of Parallel and Distributed Computing,13, 2, pp. 139-153, October 1991
[7] Kiyoaki Yoshida, Tohru Kohda, Yasumasa Sujaku, Self-Organizing Systems with Self-Diagnosability, dsn, p. 755, International Conference on Dependable Systems and Networks (DSN-02), 2002
[8] B. Birregah, P. K. Doh, K. H. Adjallah, The Twelve Triangular Matrix Forms of the Pascal Triangle: a Systematic Approach with the Set of Circulant Operators, To appear in The 10th WSEAS International Conference on Applied Mathemaics (MATH -06) Proceedings , Dallas, Texas, USA, November 1-3, 2006