Geodesic
Antipodal polygons and half-circulant Hadamard matrices
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 6 (2010) no. 1, pp. 56-72 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{JMAG_2010_6_1_a4,
     author = {A. I. Medianik},
     title = {Antipodal polygons and half-circulant {Hadamard} matrices},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {56--72},
     year = {2010},
     volume = {6},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2010_6_1_a4/}
}
TY  - JOUR
AU  - A. I. Medianik
TI  - Antipodal polygons and half-circulant Hadamard matrices
JO  - Žurnal matematičeskoj fiziki, analiza, geometrii
PY  - 2010
SP  - 56
EP  - 72
VL  - 6
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/JMAG_2010_6_1_a4/
LA  - en
ID  - JMAG_2010_6_1_a4
ER  - 
%0 Journal Article
%A A. I. Medianik
%T Antipodal polygons and half-circulant Hadamard matrices
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2010
%P 56-72
%V 6
%N 1
%U http://geodesic.mathdoc.fr/item/JMAG_2010_6_1_a4/
%G en
%F JMAG_2010_6_1_a4
A. I. Medianik. Antipodal polygons and half-circulant Hadamard matrices. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 6 (2010) no. 1, pp. 56-72. http://geodesic.mathdoc.fr/item/JMAG_2010_6_1_a4/

[1] A. I. Medianik, “Antipodal $n$-Gons Inscribed into a Regular $(2n-1)$-Gon and the Half-Circulant Hadamard Matrices of Order $4n$”, Mat. Fiz., Anal., Geom., 11 (2004), 45–66 (Russian) | MR | Zbl

[2] M. Hall, Combinatorial Theory, Mir, Moscow, 1970 (Russian) | MR | Zbl

[3] W. Ball, H. Coxeter, Mathematical Recreations and Essays, Mir, Moscow, 1986 (Russian) | MR

[4] A. I. Medianik, “Regular Simplex Inscribed into a Cube and Hadamard Matrices of Half-Circulant Type”, Mat. Fiz., Anal., Geom., 4 (1997), 458–471 (Russian) | MR | Zbl

[5] R. Bellman, Introduction to Matrix Analysis, Nauka, Moscow, 1969 (Russian) | MR | Zbl

[6] H. Khraghani, B. Tayfeh-Rezaie, “A Hadamard Matrix of Order 428”, J. Combin. Designs, 13 (2005), 435–440 | DOI | MR

[7] K. Sawade, “A Hadamard Matrix of Order 268”, Graphs Combin., 1:2 (1985), 185–187 | DOI | MR | Zbl

[8] A. I. Medianik, “On a Regular Hypersimplex Insrribed into the Multidimensional Cube”, J. Math. Phys., Anal., Geom., 2 (2006), 176–185 | MR | Zbl

[9] G. Polya, G. Szego, Aufgaben und Lehrsatze aus der Analysis, v. II, Nauka, Moscow, 1978 (Russian)

[10] J. Williamson, “Hadamard's Determinant Theorem and the Sum of Four Squares”, Duke Math. J., 11 (1944), 65–81 | DOI | MR | Zbl