Pascal \(k\)-eliminated functional matrix and its property
type: Item
instance of: scholarly article
title: Pascal \(k\)-eliminated functional matrix and its property
zbMATH Open document ID: 0957.05008
DOI: 10.1016/S0024-3795(99)00266-9
author: Yanyan Li
published in: Linear Algebra and its Applications
publication date: 2000-05-09T00:00:00Z
review text: Let \(p\) be a prime, and let \(\mathbb{F}_p\) be the finite field with \(p\) elements. The authors mainly prove that if \(n\geq p+1\) and \(p|k\), then the minimal polynomial of the Pascal \(k\)-eliminated functional matrix \(P_{n,k}\) on \(\mathbb{F}_p\) is \((1-x)^p\), where \(n\) and \(k\) are positive integers. This is an affirmative answer to an open problem raised by \textit{M. Razpet} [Discrete Math. 135, No. 1-3, 377-379 (1994; Zbl 0819.05004)].
Mathematics Subject Classification ID: 05A10
Mathematics Subject Classification ID: 05A19
Mathematics Subject Classification ID: 11C20
zbMATH DE Number: 1443397
zbMATH Keywords: minimal polynomial
zbMATH Keywords: Pascal \(k\)-eliminated functional matrix
reviewed by: Le Maohua
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1443397