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Journals / Hacettepe Journal of Mathematics and Statistics / 2017 / Cilt: 46 - Sayı: 5

Investigating an overdetermined system of linear equations by using convex functions

Zlatko PAVIC
Vedran NOVOSELAC
Pages
865–874
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The research also relies on some specialproperties of unbounded convex sets, and the lower level sets of continuous functions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The paper studies the application of convex functions in order to prove the existence of optimal solutions of an overdetermined system of linearequations.
📊
Key Findings & Data:The study approaches the problem by using even convex functions instead of projections.
💡
Conclusion & Impact:The research also relies on some specialproperties of unbounded convex sets, and the lower level sets of continuous functions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:overdetermined system · convex function · global minimum

Abstract

The paper studies the application of convex functions in order to prove the existence of optimal solutions of an overdetermined system of linearequations. The study approaches the problem by using even convex functions instead of projections. The research also relies on some specialproperties of unbounded convex sets, and the lower level sets of continuous functions.

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Cite This Article

PAVIC, Z., NOVOSELAC, V. (2022). Investigating an overdetermined system of linear equations by using convex functions. Hacettepe Journal of Mathematics and Statistics, Cilt: 46 - Sayı: 5, 865–874. https://ajindex.com/articles/529938

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