A Study on Circulant Matrices and its Application in Solving Polynomial Equations and Data Smoothing

Dhashna T. Pillai; Briji J. Chathely

doi:https://doi.org/10.14445/22315373/IJMTT-V66I6P527

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 6 | Year 2020 | Article Id. IJMTT-V66I6P527 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I6P527

A Study on Circulant Matrices and its Application in Solving Polynomial Equations and Data Smoothing

Dhashna T. Pillai, Briji J. Chathely

Abstract

This article presents a short study on circulant matrices and some of its properties. We discuss the eigenvalues, eigenvectors and diagonalization of circulant matrices in this paper. We also discuss the application of circulant matrices in solving polynomial equations and data smoothing.

Keywords

Circulant, permutation, eigenvalues, fourier, diagonalization, smoothing.

References

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Citation :

Dhashna T. Pillai, Briji J. Chathely, "A Study on Circulant Matrices and its Application in Solving Polynomial Equations and Data Smoothing," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 6, pp. 275-283, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I6P527