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Dergiler / 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
Sayfa
865–874
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The research also relies on some specialproperties 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 linearequations.
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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 specialproperties of unbounded convex sets, and the lower level sets of continuous functions.
🔬Tür:Araştırma Makalesi
📍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 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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Bu Makaleye Atıf Yap

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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Kaynakça (9)

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  7. J. A. Sethian, Level Set Methods and Fast Marching Methods, Cambridge University Press, 1999.
  8. C. Udrişte, Convex Functions and Optimization Methods on Riemannian Manifolds, Kluwer Academic Publishers, Dordrecht, 1994.
  9. G. Williams, Overdetermined systems of linear equations, Amer. Math. Monthly, 97 (1990), 511-513.