Real solution isolation with multiplicity of zero-dimensional triangular systems

DOI10.1007/s11432-010-4154-yzbMath1218.65046OpenAlexW2048847637MaRDI QIDQ543162

Zhi-Hai Zhang, Bican Xia, Tian Fang

Publication date: 17 June 2011

Published in: Science China. Information Sciences (Search for Journal in Brave)

Full work available at URL: http://engine.scichina.com/doi/10.1007/s11432-010-4154-y

zbMATH Keywords

algorithmnumerical examplesfactorization of polynomialsinterval arithmeticlocal ringpolynomial system solvinglocal multiplicityreal solution isolationtriangular polynomial systems

Mathematics Subject Classification ID

Related Items (4)

On Isolating Roots in a Multiple Field Extension ⋮ Analyzing the dual space of the saturated ideal of a regular set and the local multiplicities of its zeros ⋮ Squarefree normal representation of zeros of zero-dimensional polynomial systems ⋮ Clustering complex zeros of triangular systems of polynomials

Uses Software

• SINGULAR
• DISCOVERER
• ISOLATE

Cites Work

• A complete algorithm for counting real solutions of polynomial systems of equations and inequalities.
• Efficient isolation of polynomial's real roots.
• An algorithm for isolating the real solutions of semi-algebraic systems
• Real solution isolation using interval arithmetic
• Computing the multiplicity structure in solving polynomial systems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Real solution isolation with multiplicity of zero-dimensional triangular systems