The construction of maximum independent set of matrices via Clifford algebras

DEĞİRMENCİ N., ÖZDEMİR N.

TURKISH JOURNAL OF MATHEMATICS, cilt.31, sa.2, ss.193-205, 2007 (SCI-Expanded) identifier identifier

  • 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.