Journals Information
Universal Journal of Applied Mathematics Vol. 2(6), pp. 233 - 244
DOI: 10.13189/ujam.2014.020601
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Toeplitz Geometries over Vector Spaces Induced from his 4-order Symmetric Matrices
Grozio Stanilov *
Faculty of Mathematics and Informatics Sofia University 鈥淪t. Kliment Ohridski鈥� 1164 Sofia, Bulgaria
ABSTRACT
We establish that a subset of symmetric no degenerated 4- order Toeplitz matrices is a group and introduce the corresponding geometry called Toeplitz geometry. We introduce also the notion of induced Toeplitz geometry. Essentially we show that in these geometries any two vectors have some absolute invariants and defining the notion of plane we find also some absolute invariants of pairs consisting from vectors and planes. For all investigations we apply only the computer system Maple.
KEYWORDS
Toeplitz Matrix, Toeplitz Geometry, Induced Toeplitz Geometry, Invariant
Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Grozio Stanilov , "Toeplitz Geometries over Vector Spaces Induced from his 4-order Symmetric Matrices," Universal Journal of Applied Mathematics, Vol. 2, No. 6, pp. 233 - 244, 2014. DOI: 10.13189/ujam.2014.020601.
(b). APA Format:
Grozio Stanilov (2014). Toeplitz Geometries over Vector Spaces Induced from his 4-order Symmetric Matrices. Universal Journal of Applied Mathematics, 2(6), 233 - 244. DOI: 10.13189/ujam.2014.020601.