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Dergiler / Mathematical Sciences and Applications E-Notes / 2018 / Cilt: 6 - Sayı: 1

New Aspects on Square Roots of a Real 2 x 2 Matrix and Their Geometric Applications

Mircea CRASMAREANU
Andrei PLUGARİU
Sayfa
37–42
Yayın Tarihi
2018-04-27
DOI
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We present a new study on the square roots of real 2 × 2 matrices with a special view towards examples, some of them inspired by geometry.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We present a new study on the square roots of real 2 × 2 matrices with a special view towards examples, some of them inspired by geometry.
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Temel Bulgular & Veri:We present a new study on the square roots of real 2 × 2 matrices with a special view towards examples, some of them inspired by geometry.
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Sonuç & Katkı:We present a new study on the square roots of real 2 × 2 matrices with a special view towards examples, some of them inspired by geometry.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:real 2 × 2 matrix · square root

Abstract

We present a new study on the square roots of real 2 × 2 matrices with a special view towards examples, some of them inspired by geometry.

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Bu Makaleye Atıf Yap

CRASMAREANU, M., PLUGARİU, A. (2018). New Aspects on Square Roots of a Real 2 x 2 Matrix and Their Geometric Applications. Mathematical Sciences and Applications E-Notes, Cilt: 6 - Sayı: 1, 37–42. https://ajindex.com/articles/690707

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Kaynakça (7)

  1. https://en.wikipedia.org/wiki/Square_root_of_a_matrix. [2]
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  3. Anghel, N., Square roots of real 3x3 matrices vs. quartic polynomials with real zero, An. Stiin¸t. Univ. “Ovidius” Constanta, Ser. Mat. 25 (2017), no. 3, 45-58
  4. Crasmareanu, M., A new method to obtain Pythagorean triple preserving matrices, Missouri J. Math. Sci. 14 (2002), no. 3, 149-158. MR 1929067(2003h:15041), Zbl 1032.15007
  5. M. Crasmareanu, M. and Hre¸tcanu, Cristina-Elena, Golden differential geometry, Chaos, Solitons & Fractals 38 (2008), no. 5, 1229-1238. MR 2456523(2009k:53059)
  6. Reyes, E., Cruceanu, V. and Gadea, P. M., Structures of electromagnetic type on vector bundle, J. Phys. A, Math. Gen. 32 (1999), no. 20, 3805-3814. Zbl 0969.53041
  7. Stakhov A. and Aranson S., The “golden” non-Euclidean geometry. Hilbert’s fourth problem, “golden” dynamical systems, and the fine-structure constant. With the assistance of Scott Olsen. Series on Analysis, Applications and Computation 7. Hackensack, NJ: World Scientific, 2017. Zbl 1351.51002.