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

ISSN: 2147-6268
Yayın Aralığı: Yılda 4 Sayı
Başlangıç: 2013
Yayıncı: -

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.

Keywords:

real 2 × 2 matrix; square root,

[1] https://en.wikipedia.org/wiki/Square_root_of_a_matrix.
[2] https://ro.wikipedia.org/wiki/Positive-definite_matrix.
[3] Anghel, N., Square roots of real 2 × 2 matrices, Gaz. Mat. Ser. B 118 (2013), no. 11, 489-491.
[4] 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.
[5] 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.
[6] M. Crasmareanu, M. and Hre¸tcanu, Cristina-Elena, Golden differential geometry, Chaos, Solitons & Fractals 38 (2008), no. 5, 1229-1238. MR 2456523(2009k:53059).
[7] 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.
[8] 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.