The Construction of Maximum Independent Set of Matrices via Clifford Algebras

Nedim DEĞİRMENCİ; Nülifer ÖZDEMİR

Makale detayları

The Construction of Maximum Independent Set of Matrices via Clifford Algebras

Yazarlar:

Nedim DEĞİRMENCİ | Nülifer ÖZDEMİR

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2007 Vol.31 Issue 2, pp.193-205

Belge Tipi:

Makale

Yayın Tarihi:

1/2007

Belge Dili:

Türkçe

Document ID (Org No.):

2000748451

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

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.

 

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.

Makale detayları

The Construction of Maximum Independent Set of Matrices via Clifford Algebras

Yazarlar:

Nedim DEĞİRMENCİ | Nülifer ÖZDEMİR

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2007 Vol.31 Issue 2, pp.193-205

Belge Tipi:

Makale

Yayın Tarihi:

1/2007

Belge Dili:

Türkçe

Document ID (Org No.):

2000748451

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Hurwitz Theorem

Clifford algebras

maximum independent set of matrices

Sayı

Makale detayları

The Construction of Maximum Independent Set of Matrices via Clifford Algebras

Yazarlar: Nedim DEĞİRMENCİ | Nülifer ÖZDEMİR

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2007 Vol.31 Issue 2, pp.193-205

Belge Tipi: Makale

Yayın Tarihi: 1/2007

Belge Dili: Türkçe

Document ID (Org No.): 2000748451

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Hurwitz Theorem

Clifford algebras

maximum independent set of matrices

Sayı

Yazarlar:

Nedim DEĞİRMENCİ | Nülifer ÖZDEMİR

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2007 Vol.31 Issue 2, pp.193-205

Belge Tipi:

Makale

Yayın Tarihi:

1/2007

Belge Dili:

Türkçe

Document ID (Org No.):

2000748451

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098