Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Stavros G. Stavrou"'
Autor:
Richard M. Low, Stavros G. Stavrou
Publikováno v:
Linear and Multilinear Algebra. 69:394-402
We determine that the maximum rank of an order-n (≥2) tensor with format 2×⋯×2 over the finite field F2 is 2⋅3n/2−1 for even n, and 3⌊n/2⌋ for odd n. Since tensor rank is non-increasing upon taking...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0da337e490c136c6ba3c4545cf947ac7
https://doi.org/10.1080/03081087.2020.1758019
https://doi.org/10.1080/03081087.2020.1758019
Publikováno v:
Linear and Multilinear Algebra. 64:2297-2312
We consider tensors of format over the finite field . We use computer algebra to classify these tensors by their tensor rank, thus determining the maximum tensor rank to be 9. As a corollary, we provide a new upper bound that the maximum rank of an o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::12acd33ae7a295f24b084275b4853f1a
https://doi.org/10.1080/03081087.2016.1155530
https://doi.org/10.1080/03081087.2016.1155530
Autor:
Stavros G. Stavrou
Publikováno v:
Linear and Multilinear Algebra. 63:1111-1124
We consider symmetric tensors of format: over for ; over for ; and over for . In each case, we compute their equivalence classes under the action of the general linear group GL. We use computer algebra to determine the set of tensors of each symmetri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6265a1885f85f0060a2495a621a35290
https://doi.org/10.1080/03081087.2014.922966
https://doi.org/10.1080/03081087.2014.922966
Publikováno v:
Journal of Medical Imaging and Radiation Sciences. 45:99-104
Introduction Health care is moving toward personalized (person-centered) holistic care. Screening for distress is a national initiative that promotes this and will allow for better interdisciplinary collaboration between health care providers. The us
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::218fcc41b99c605024ffca68d7de503a
https://doi.org/10.1016/j.jmir.2014.02.001
https://doi.org/10.1016/j.jmir.2014.02.001
Autor:
Stavros G. Stavrou
Publikováno v:
Linear and Multilinear Algebra. 62:1169-1186
We consider symmetric tensors of format and over prime fields. Using computer algebra, we compute the canonical forms of these tensors. For symmetric tensors, we consider the prime fields for . For symmetric tensors, we consider the prime fields for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::af078837d9874dd09d787c9a6258057a
https://doi.org/10.1080/03081087.2013.811583
https://doi.org/10.1080/03081087.2013.811583
Autor:
Stavros G. Stavrou, Murray R. Bremner
Publikováno v:
Linear and Multilinear Algebra. 61:986-997
We consider arrays of size 2 × 2 × 2 and 2 × 2 × 2 × 2 over the fields with two and three elements. We use computer algebra to determine the canonical forms of these arrays with respect to the action of the semidirect product of general linear g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::499fd7bee099b7044df2b64d74e32dd4
https://doi.org/10.1080/03081087.2012.721362
https://doi.org/10.1080/03081087.2012.721362
Publikováno v:
Linear and Multilinear Algebra. 66:514-515
In this note, we correctly determine the orbits of the (maximum) rank nine tensors under the action of , the semi-direct product of (a direct product of) general linear groups with the symmetric gr...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::444fb74351745b16f8531713ee0ed0ce
https://doi.org/10.1080/03081087.2017.1301873
https://doi.org/10.1080/03081087.2017.1301873