Determinants and inverses of Ppoeplitz and Ppankel matrices
type: Item
instance of: scholarly article
title: Determinants and inverses of Ppoeplitz and Ppankel matrices
zbMATH Open document ID: 1394.15020
author: Baishuai Zuo
author: Deqian Fu
author: Zhao-Lin Jiang
published in: Special Matrices
publication date: 2018-06-15T00:00:00Z
review text: The Pell-Padovan numbers are defined recursively by \[ p_n=2p_{n-2}+p_{n-3}\,(n\geq 3),\,p_{-n}=-2p_{-(n-1)}+p_{-(n-3)}\,(n\geq 1),\, p_0=p_1=p_2=1. \] The authors give (quite complicated) formulas for the determinant and the inverse of the Toeplitz matrix with first row \((p_1,\dots,p_n)\) and first column \((p_1,p_{-2},\dots,p_{-n})\) (Ppoeplitz matrix), and those for the Hankel matrix with first row \((p_n,\dots,p_1)\) (Ppankel matrix).
Mathematics Subject Classification ID: 15B05
Mathematics Subject Classification ID: 11B39
Mathematics Subject Classification ID: 15A15
zbMATH DE Number: 6890444
zbMATH Keywords: Pell-Padovan numbers
zbMATH Keywords: Toeplitz matrix
zbMATH Keywords: Hankel matrix
zbMATH Keywords: determinant
zbMATH Keywords: inverse
reviewed by: Jorma K. Merikoski
MaRDI profile type: Publication
full work available at URL: spma-2018-0017
OpenAlex ID: W2800276733
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Wikidata QID: Q129883448
DOI: 10.1515/SPMA-2018-0017
description: scientific article; zbMATH DE number 6890444