A new approach for constructing subresultants

DOI10.1016/j.amc.2006.05.120zbMath1142.12306OpenAlexW2045697474MaRDI QIDQ864796

Yongbin Li

Publication date: 13 February 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.05.120

zbMATH Keywords

subresultantsdeterminantpolynomialSylvester matrix

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15)

Related Items

An algebraic framework for computing the topology of offsets to rational curves ⋮ Bezout matrices, subresultant polynomials and parameters ⋮ Solving the implicitization, inversion and reparametrization problems for rational curves through subresultants ⋮ Improving the topology computation of an arrangement of cubics ⋮ Tools for analyzing the intersection curve between two quadrics through projection and lifting ⋮ An effective algorithm of computing symbolic determinants with multivariate polynomial entries ⋮ Solving the interference problem for ellipses and ellipsoids: new formulae ⋮ Computing the topology of an arrangement of implicitly defined real algebraic plane curves ⋮ Subresultant chains using Bézout matrices

Cites Work

• Unnamed Item
• Unnamed Item
• Elimination methods
• New structure theorem for subresultants
• Computing triangular systems and regular systems
• An alternative algorithm for computing the pseudo-remainder of multivariate polynomials
• Minors of Bezout matrices, subresultants and the parameterization of the degree of the polynomial greatest common divisor
• Subresultants and Reduced Polynomial Remainder Sequences
• On Euclid's Algorithm and the Theory of Subresultants

This page was built for publication: A new approach for constructing subresultants