Computing the multiplicity structure of an isolated singular solution: case of breadth one

DOI10.1016/j.jsc.2011.12.027zbMath1239.13038OpenAlexW2283215057MaRDI QIDQ413412

J. Herrera, H. S. Yoon

Publication date: 7 May 2012

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2011.12.027

zbMATH Keywords

multiplicity of solutionspolynomial systemisolated singularitysymbolic-numeric methods

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Effectivity, complexity and computational aspects of algebraic geometry (14Q20) Complexity and performance of numerical algorithms (65Y20) Solving polynomial systems; resultants (13P15)

Related Items

Computing PUR of zero-dimensional ideals of breadth at most one, On deflation and multiplicity structure, Efficient computation of dual space and directional multiplicity of an isolated point, Improved two-step Newton's method for computing simple multiple zeros of polynomial systems, Verified error bounds for isolated singular solutions of polynomial systems: case of breadth one, Analyzing the dual space of the saturated ideal of a regular set and the local multiplicities of its zeros, The equivalent representation of the breadth-one \(D\)-invariant polynomial subspace and its discretization, Numerical approximation of multiple isolated roots of analytical systems, A new deflation method for verifying the isolated singular zeros of polynomial systems, On isolation of simple multiple zeros and clusters of zeros of polynomial systems, The discretization for bivariate ideal interpolation, Verified error bounds for singular solutions of nonlinear systems

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