Matrix Decompositions for Telecom Network Reliability in South Africa: Stability Analysis and Convergence Proofs
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| Format: | Recurso digital |
| Langue: | anglais |
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Zenodo
2014
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| _version_ | 1866901245853171712 |
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| author | Mdletsu, Zakhele Mkhize, Sifiso |
| author_facet | Mdletsu, Zakhele Mkhize, Sifiso |
| contents | <p>This study explores matrix decomposition methods for assessing telecom network reliability in South Africa. An analytical approach is adopted, with a focus on deriving stability conditions for matrix decompositions used in network reliability analysis. A key finding is that the proposed method ensures stable and convergent solutions for the telecom network models under study. The theoretical framework established provides robust methods for evaluating the reliability of South African telecom networks using matrix decompositions. Recommendation includes further empirical validation to confirm stability in real-world scenarios. The analytical core is $\hat{y}_t=\mathcal{F}(x_t;\theta)$ with $\hat{\theta}=argmin_{\theta}L(\theta)$, and convergence is established under standard smoothness conditions.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19057541 |
| institution | Zenodo |
| language | eng |
| publishDate | 2014 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Matrix Decompositions for Telecom Network Reliability in South Africa: Stability Analysis and Convergence Proofs Mdletsu, Zakhele Mkhize, Sifiso Sub-Saharan Network Analysis Matrix Factorization Stability Theory Convergence Criteria Graph Theory Linear Algebra <p>This study explores matrix decomposition methods for assessing telecom network reliability in South Africa. An analytical approach is adopted, with a focus on deriving stability conditions for matrix decompositions used in network reliability analysis. A key finding is that the proposed method ensures stable and convergent solutions for the telecom network models under study. The theoretical framework established provides robust methods for evaluating the reliability of South African telecom networks using matrix decompositions. Recommendation includes further empirical validation to confirm stability in real-world scenarios. The analytical core is $\hat{y}_t=\mathcal{F}(x_t;\theta)$ with $\hat{\theta}=argmin_{\theta}L(\theta)$, and convergence is established under standard smoothness conditions.</p> |
| title | Matrix Decompositions for Telecom Network Reliability in South Africa: Stability Analysis and Convergence Proofs |
| topic | Sub-Saharan Network Analysis Matrix Factorization Stability Theory Convergence Criteria Graph Theory Linear Algebra |
| url | https://doi.org/10.5281/zenodo.19057541 |