Emrah KILIÇ, Talha ARIKAN

8196

Evaluation of spectrum of 2-periodic tridiagonal-Sylvester matrix

The Sylvester matrix was first defined by JJ Sylvester. Some authors have studied the relationships between certain orthogonal polynomials and the determinant of the Sylvester matrix. Chu studied a generalization of the Sylvester matrix. In this paper, we introduce its $2$-periodic generalization. Then we compute its spectrum by left eigenvectors with a similarity trick.
Keywords:

Sylvester matrix spectrum, determinant,

PDF
Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
Arşiv
Sayıdaki Diğer Makaleler

Lei SUN, Xuefeng HAN

Mehmet Akif AKYOL, Bayram ŞAHİN

Emrah KILIÇ, Talha ARIKAN

Xiaoyan ZHOU, Min WEI

Rongmin ZHU, Zhongkui LIU, Zhanping WANG

Eylem Güzel KARPUZ, Fırat ATEŞ, Ahmet Sinan ÇEVİK, İsmail Naci CANGÜL

An extension of Cline''s formula for a generalized Drazin inverse

Haifeng LIAN, Qingping ZENG

Stijn CAMBIE, Wendy GOEMANS, İris Van Den BUSSCHE

Ayesha SHABBIR, Yasir BASHIR, Faisal NADEEM

Chunyue WANG, Qingcheng ZHANG, Jizhu NAN