• Determinant evaluation of band...

Treffer: Determinant evaluation of banded Toeplitz matrices via bivariate polynomial families

Title:
Determinant evaluation of banded Toeplitz matrices via bivariate polynomial families
Authors:
Alazemi, Abdullah, Kılıç, Emrah
Source:
Applicable Analysis and Discrete Mathematics. 18:360-386
Publisher Information:
National Library of Serbia, 2024.
Publication Year:
2024
Subject Terms:
LU-decomposition, Discrete Cosine, Banded Toeplitz matrix, Tridiagonal Matrices, Combinatorial representations, Determinant, Eigenvalues, Inverse, Eigenvectors, Generating function
Document Type:
Fachzeitschrift Article<br />Other literature type
Language:
English
ISSN:
2406-100X
1452-8630
DOI:
10.2298/aadm210927014a
DOI:
10.2298/aadm210927014a10.2298/aadm210927014a
Access URL:
https://hdl.handle.net/20.500.11851/10829
https://doi.org/10.2298/AADM210927014A 10.2298/AADM210927014A
Rights:
CC BY
Accession Number:
edsair.doi.dedup.....5b1b325f9ff1b17d94202f31dafdbfc0
Database:
OpenAIRE

Weitere Informationen

We define three kinds banded Toeplitz matrices via with the upper and lower bandwidths ??x? and ??y?. The determinant evaluation is explicitly given for three kinds banded Toeplitz matrices via bivariate Tribonacci and Delannoy polynomials by using generating function approach and recurrence relations. Moreover perturbed versions of each kinds of the banded Toeplitz matrices by a 2 ? 2 general square matrix at the upper right corner will be explicitly computed.