Association between Fragmented QRS and Left Ventricular Systolic Function in Patients with Erectile Dysfunction.
Acta Cardiologica Sinica, cilt.34, sa.6, ss.496-501, 2018 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 34 Sayı: 6
- Basım Tarihi: 2018
- Doi Numarası: 10.6515/acs.201811_34(6).20180504a
- Dergi Adı: Acta Cardiologica Sinica
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.496-501
- İnönü Üniversitesi Adresli: Evet
Özet
Characterizing the $6\times 6$ complex Hadamard matrices (CHMs) is an open problem in linear algebra and quantum information. In this paper, we investigate the eigenvalues and eigenvectors of CHMs. We show that any $n\times n$ CHM with dephased form has two constant eigenvalues $\pm\sqrt{n}$ and has two constant eigenvectors. We obtain the maximum numbers of identical eigenvalues of $6\times 6$ CHMs with dephased form and we extend this result to arbitrary dimension. We also show that there is no $6\times 6$ CHM with four identical eigenvalues. We conjecture that the eigenvalues and eigenvectors of $6\times 6$ CHMs will lead to the complete classification of $6\times 6$ CHMs.