Modelling the Additive Functional Equations through RSM Matrices

Authors

  • Pasupathi Narasimman Thiruvalluvar University College of Arts and Science, Gazhalnayaganpatti, Tirupattur-635 901,
  • K Ravi Sacred Heart College, Tirupattur - 635 601
  • Sandra Pinelas Academia Militar, Departamento de Ciências Exactas e Naturais, Av.Conde Castro Guimarães, 2720-113 Amadora, Portugal

DOI:

https://doi.org/10.24297/jam.v12i10.117

Abstract

This paper suggests one possible method to model additive type of functional equations using eigenvalues and eigenvectors of matrices with suitable numerical examples. The authors have defined a new type of Row Sum Matrix(RSM) and have discussed its eigenvalues and eigenvectors in order to model functional equations. The famous additive cauchy functional equation and Logical functional equation have also been modelled using identity matrix and Logical matrix in this study.

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Author Biography

K Ravi, Sacred Heart College, Tirupattur - 635 601

Department of Mathematics

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Published

2016-11-30

How to Cite

Narasimman, P., Ravi, K., & Pinelas, S. (2016). Modelling the Additive Functional Equations through RSM Matrices. JOURNAL OF ADVANCES IN MATHEMATICS, 12(10), 6714–6719. https://doi.org/10.24297/jam.v12i10.117

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Articles