Agents Network on a Grid: An Approach with the Set of Circulant Operators
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.
[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
[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
@article{"International Journal of Engineering, Mathematical and Physical Sciences:59568", author = "Babiga Birregah and Prosper K. Doh and Kondo H. Adjallah", title = "Agents Network on a Grid: An Approach with the Set of Circulant Operators", 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.", volume = "2", number = "11", pages = "869-6", }