A Note on the Solution of Circulant Real Linear Systems and its Sensitivity Analysis
General Mathematics
2025-10-22 v4
Abstract
Employing the Fast Fourier Transform we propose a ready-to-use solution to circulant real linear systems of equations, particularly useful when a broader theoretical analysis is involved. We also show that strict diagonal dominance of the matrix of coefficients is a sufficient condition for sign consistency between solutions and parameters in sensitivity analysis. Keywords: Circulant matrix, Real linear system of equations, Circulant structure, FFT, Sensitivity Analysis, Strict Diagonal Dominance.
Cite
@article{arxiv.2508.00863,
title = {A Note on the Solution of Circulant Real Linear Systems and its Sensitivity Analysis},
author = {Alessandro Guazzini and Enrico Caricchio},
journal= {arXiv preprint arXiv:2508.00863},
year = {2025}
}