Explicit determinantal formula for a class of banded matrices-Reference-Cited by-同舟云学术

Explicit determinantal formula for a class of banded matrices

Published:2020-01-01 Issue:1 Volume:18 Page:1227-1229
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Amanbek Yerlan¹,Du Zhibin²,Erlangga Yogi³,da Fonseca Carlos M.⁴⁵,Kurmanbek Bakytzhan¹,Pereira António⁶

Affiliation:

1. Nazarbayev University, Department of Mathematics , 53 Kabanbay Batyr Ave. , Nur-Sultan , 010000 , Kazakhstan

2. School of Software, South China Normal University , Foshan , Guangdong 528225 , China

3. Zayed University, Department of Mathematics , Abu Dhabi Campus, P.O. Box 144534 , Abu Dhabi , United Arab Emirates

4. Kuwait College of Science and Technology , Doha District, Block 4, P.O. Box 27235 , Safat , 13133 , Kuwait

5. University of Primorska, FAMNIT , Glagoljsaška 8, 6000 , Koper , Slovenia

6. Departamento de Matemática, Universidade de Aveiro , Aveiro , 3810-193 , Portugal

Abstract

Abstract In this short note, we provide a brief proof for a recent determinantal formula involving a particular family of banded matrices.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2020-0100/pdf

Reference5 articles.

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2. M. Anđelić and C. M. da Fonseca, Some determinantal considerations for pentadiagonal matrices, Linear Multilinear Algebra (2020), 10.1080/03081087.2019.1708845.

3. Z. Du, C. M. da Fonseca, and A. Pereira, On determinantal recurrence relations of banded matrices, submitted.

4. Z. Çınkır, An elementary algorithm for computing the determinant of pentadiagonal Toeplitz matrices, J. Comput. Appl. Math. 236 (2012), no. 9, 2298–2305, 10.1016/j.cam.2011.11.017.

5. E. Kılıc and M. El-Mikkawy, A computational algorithm for special nth-order pentadiagonal Toeplitz determinants, Appl. Math. Comput. 199 (2008), no. 2, 820–822, 10.1016/j.amc.2007.10.022.

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