Determinants of some pentadiagonal matrices
In this paper we consider pentadiagonal (n+1)×(n+1) matrices with two subdiagonals and two superdiagonals at distances k and 2k from the main diagonal where 1≤k < 2k n. We give an explicit formula for their determinants and also consider the Toeplitz and "imperfect" Toeplitz versions of...
| Permalink: | http://skupnikatalog.nsk.hr/Record/nsk.NSK01001145035/Details |
|---|---|
| Matična publikacija: |
Glasnik matematički (Online) 56 (2021), 2 ; str. 271-286 |
| Glavni autor: | Losonczi, Laszlo (Author) |
| Vrsta građe: | e-članak |
| Jezik: | eng |
| Predmet: | |
| Online pristup: |
https://doi.org/10.3336/gm.56.2.05 Glasnik matematički (Online) Hrčak |
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| 024 | 7 | |2 doi |a 10.3336/gm.56.2.05 | |
| 035 | |a (HR-ZaNSK)001145035 | ||
| 040 | |a HR-ZaNSK |b hrv |c HR-ZaNSK |e ppiak | ||
| 042 | |a croatica | ||
| 044 | |a ci |c hr | ||
| 080 | 1 | |a 51 |2 2011 | |
| 100 | 1 | |a Losonczi, Laszlo |4 aut | |
| 245 | 1 | 0 | |a Determinants of some pentadiagonal matrices |h [Elektronička građa] |c László Losonczi. |
| 504 | |a Bibliografija: 27 jed. | ||
| 504 | |a Abstract. | ||
| 520 | |a In this paper we consider pentadiagonal (n+1)×(n+1) matrices with two subdiagonals and two superdiagonals at distances k and 2k from the main diagonal where 1≤k < 2k n. We give an explicit formula for their determinants and also consider the Toeplitz and "imperfect" Toeplitz versions of such matrices. Imperfectness means that the first and last k elements of the main diagonal differ from the elements in the middle. Using the rearrangement due to Egerv´ary and Sz´asz we also show how these determinants can be factorized. | ||
| 653 | 0 | |a Determinante |a Toeplitzova matrica |a Trodijagonalna matrica | |
| 773 | 0 | |t Glasnik matematički (Online) |x 1846-7989 |g 56 (2021), 2 ; str. 271-286 |w nsk.(HR-ZaNSK)000659858 | |
| 981 | |b Be2021 |b B03/21 | ||
| 998 | |b tino2210 | ||
| 856 | 4 | 0 | |u https://doi.org/10.3336/gm.56.2.05 |
| 856 | 4 | 0 | |u https://web.math.pmf.unizg.hr/glasnik/EasyTracker.php?id=56205 |y Glasnik matematički (Online) |
| 856 | 4 | 1 | |y Digitalna.nsk.hr |
| 856 | 4 | 0 | |u https://hrcak.srce.hr/267563 |y Hrčak |