The construction of maximum independent set of matrices via Clifford algebras
TURKISH JOURNAL OF MATHEMATICS, cilt.31, sa.2, ss.193-205, 2007 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 31 Sayı: 2
- Basım Tarihi: 2007
- Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.193-205
- Anahtar Kelimeler: Hurwitz theorem, Clifford algebras, maximum independent set of matrices, REAL LINEAR COMBINATIONS
- Anadolu Üniversitesi Adresli: Evet
Özet
In [1], [2] and [6] the maximum number of some special type n x n matrices with elements in F whose nontrivial linear combinations with real coefficients are nonsingular is studied where F is the real field R, the complex field C or the skew field H of quaternions. In this work we construct such matrices explicitly by using representations of Clifford algebras. At the end we give some analogues of the celebrated theorem of Radon-Hurwitz.