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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 46 Issue: 5

Investigating an overdetermined system of linear equations by using convex functions

Zlatko Pavic
Vedran Novoselac
Sayfa
—
Yayın Tarihi
2017-10-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The paper studies the application of convex functions in order to prove the existence of optimal solutions of an overdetermined system of linear equations.
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Temel Bulgular & Veri:The study approaches the problem by using even convex functions instead of projections.
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Sonuç & Katkı:The research also relies on some special properties of unbounded convex sets, and the lower level sets of continuous functions.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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 linear equations. The study approaches the problem by using even convex functions instead of projections. The research also relies on some special properties of unbounded convex sets, and the lower level sets of continuous functions.

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Bu Makaleye Atıf Yap

Pavic, Z., Novoselac, V. (2017). Investigating an overdetermined system of linear equations by using convex functions. Hacettepe Journal of Mathematics and Statistics, Volume: 46 Issue: 5. https://ajindex.com/articles/1403004

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Kaynakça (12)

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  8. Z. Pavi¢, Improvements of the Hermite-Hadamard inequality, J. Inequal. Appl., 2015 (2015), Article ID 222.
  9. A. W. Roberts, D. E. Varberg, Convex Functions, Academic Press New York and London, 1973.
  10. J. A. Sethian, Level Set Methods and Fast Marching Methods, Cambridge University Press, 1999.
  11. C. Udrişte, Convex Functions and Optimization Methods on Riemannian Manifolds, Kluwer Academic Publishers, Dordrecht, 1994.
  12. G. Williams, Overdetermined systems of linear equations, Amer. Math. Monthly, 97 (1990), 511-513.