On spectral data and tensor decompositions in Finslerian framework | ||
| AUT Journal of Mathematics and Computing | ||
| دوره 2، شماره 2، آذر 2021، صفحه 153-163 اصل مقاله (5.55 M) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2021.20213.1059 | ||
| نویسنده | ||
| Vladimir Balan* | ||
| Department of Mathematics-Informatics, Faculty of Applied Sciences, University Politehnica, Bucharest, Romania | ||
| چکیده | ||
| The extensions of the Riemannian structure include the Finslerian one, which provided in recent years successful models in various fields like Biology, Physics, GTR, Monolayer Nanotechnology and Geometry of Big Data. The present article provides the necessary notions on tensor spectral data and on the HO-SVD and the Candecomp tensor decompositions, and further study several aspects related to the spectral theory of the main symmetric Finsler tensors, the fundamental and the Cartan tensor. In particular, are addressed two Finsler models used in Langmuir Blodgett Nanotechnology and in Oncology. As well, the HO-SVD and Candecomp decompositions are exemplified for these models and metric extensions of the eigen problem are proposed. | ||
| کلیدواژهها | ||
| Pseudo-Finsler structure؛ Symmetric tensors؛ Spectral data؛ Cartan tensor؛ HO-SVD decomposition؛ Candecomp approximation | ||
| مراجع | ||
|
| ||
|
آمار تعداد مشاهده مقاله: 1,516 تعداد دریافت فایل اصل مقاله: 1,079 |
||
| تعداد نشریات | 9 |
| تعداد شمارهها | 458 |
| تعداد مقالات | 5,785 |
| تعداد مشاهده مقاله | 8,525,556 |
| تعداد دریافت فایل اصل مقاله | 7,065,443 |