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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 53 Issue: 5

Inner-gMP and gMP-inner inverses

Dunja Stojanovic(The Academy of Applied Technical and Preschool Studies, Nis)0009-0001-4845-0137
Dijana Mosic(University of Nis)0000-0002-3255-9322
Sayfa
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Yayın Tarihi
2024-10-15
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Yapay Zeka Hızlı Bakış & Çıkarımlar

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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Numerical examples are given to illustrate our results.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Solving some systems of operator equations, new kinds of generalized inverses are introduced.
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Temel Bulgular & Veri:In this way, the concepts of gMP, 1MP and MP1 inverses are generalized.
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Sonuç & Katkı:Numerical examples are given to illustrate our results.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:inner-MP inverse · gMP inverse · core–EP inverse

Abstract

Solving some systems of operator equations, new kinds of generalized inverses are introduced. Since these new inverses can be expressed by inner and gMP inverses, they are called inner-gMP and gMP-inner inverses. In this way, the concepts of gMP, 1MP and MP1 inverses are generalized. Various representations and characterizations of inner-gMP and gMP-inner inverses are presented. Using the inner and *gMP inverse, we define the inner-*gMP and *gMP-inner inverses which are new extensions of 1MP, MP1 and *gMP inverses. We apply inner-gMP and gMP-inner inverses as well as inner-*gMP and *gMP-inner inverses to solve several kinds of linear equations. Consequently, we obtain solvability of the normal equation which is connected to the least-squares solution. Numerical examples are given to illustrate our results.

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Bu Makaleye Atıf Yap

Stojanovic, D., Mosic, D. (2024). Inner-gMP and gMP-inner inverses. Hacettepe Journal of Mathematics and Statistics, Volume: 53 Issue: 5. https://doi.org/10.15672/hujms.1351762

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