An efficient method for analyzing the topology of plane real algebraic curves.
type: Item
instance of: scholarly article
title: An efficient method for analyzing the topology of plane real algebraic curves.
zbMATH Open document ID: 1037.14503
DOI: 10.1016/S0378-4754(96)00034-1
author: Hoon Hong
published in: Mathematics and Computers in Simulation
publication date: 2003-05-27T00:00:00Z
Mathematics Subject Classification ID: 14Q05
Mathematics Subject Classification ID: 14P25
zbMATH DE Number: 1920714
zbMATH Keywords: algebraic curve
zbMATH Keywords: real roots
zbMATH Keywords: isolation
zbMATH Keywords: counting
zbMATH Keywords: PRS (polynomial remainder sequence)
describes a project that uses: SACLIB
MaRDI profile type: Publication
cites work: Q5604158
cites work: Q3203724
cites work: Algebraic decomposition of regular curves
cites work: Cylindrical Algebraic Decomposition I: The Basic Algorithm
cites work: A polynomial-time algorithm for the topological type of real algebraic curve
cites work: The Subresultant PRS Algorithm
cites work: Q4038735
cites work: Subresultants and Reduced Polynomial Remainder Sequences
cites work: Q3902405
cites work: Q3973331
cites work: Q3474749
cites work: Q3222299
cites work: Integer Arithmetic Algorithms for Polynomial Real Zero Determination
cites work: Q4391224
cites work: A correction to “On the average number of real roots of a random algebraic equation”
cites work: Q3207999
cites work: Q4237436
full work available at URL: s0378-4754(96)00034-1
OpenAlex ID: W1983469327
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description: scientific article; zbMATH DE number 1920714