A Note on the Solution of Circulant Real Linear Systems and its Sensitivity Analysis
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866917028867080192 |
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| author | Guazzini, Alessandro Caricchio, Enrico |
| author_facet | Guazzini, Alessandro Caricchio, Enrico |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_00863 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Note on the Solution of Circulant Real Linear Systems and its Sensitivity Analysis Guazzini, Alessandro Caricchio, Enrico General Mathematics 15A06, 15A09 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. |
| title | A Note on the Solution of Circulant Real Linear Systems and its Sensitivity Analysis |
| topic | General Mathematics 15A06, 15A09 |
| url | https://arxiv.org/abs/2508.00863 |