On p-adic computation of the rational form of a matrix
type: Item
instance of: scholarly article
title: On p-adic computation of the rational form of a matrix
zbMATH Open document ID: 0714.65049
DOI: 10.1016/S0747-7171(08)80055-7
author: D. Kharzeev
published in: Journal of Symbolic Computation
publication date: 1990-01-01T00:00:00Z
review text: For matrices with p-adic integer entries methods are discussed to bring the matrix to cyclic and rational form. For this rational integer approximations to the p-adic integers are used. Bounds and criteria for the accuracy of the cyclic form are given. Furthermore computational tests are presented.
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 15A21
Mathematics Subject Classification ID: 15B33
Mathematics Subject Classification ID: 68W30
Mathematics Subject Classification ID: 12Y05
zbMATH DE Number: 4176355
zbMATH Keywords: p-adic computation
zbMATH Keywords: companion matrix
zbMATH Keywords: invariant factors
zbMATH Keywords: Smith form
zbMATH Keywords: rational form
zbMATH Keywords: cyclic form
zbMATH Keywords: computational tests
reviewed by: Volker Mehrmann
MaRDI profile type: Publication
cites work: Q5614003
cites work: An Algorithm for the Exact Reduction of a Matrix to Frobenius form Using Modular Arithmetic. II
cites work: Q3773973
cites work: Q3887567
cites work: An Inequality About Factors of Polynomials
cites work: Q3818127
full work available at URL: s0747-7171(08)80055-7
OpenAlex ID: W2051473021
description: scientific article; zbMATH DE number 4176355