Certifying Isolated Singular Points and their Multiplicity Structure
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Publication:2819760
DOI10.1145/2755996.2756645zbMath1345.68286arXiv1501.05083OpenAlexW2080883036MaRDI QIDQ2819760
Agnes Szanto, Mourrain, Bernard, Jonathan D. Hauenstein
Publication date: 29 September 2016
Published in: Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1501.05083
multiplication operatordual spaceinverse systemisolated pointlocal algebramultiplicity structureroot deflation
Related Items (12)
On deflation and multiplicity structure ⋮ A heuristic method for certifying isolated zeros of polynomial systems ⋮ 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 ⋮ Certifying solutions to overdetermined and singular polynomial systems over \(\mathbb{Q}\) ⋮ VerifyRealRoots: a Matlab package for computing verified real solutions of polynomials systems of equations and inequalities ⋮ Multiprojective witness sets and a trace test ⋮ Two-step Newton's method for deflation-one singular zeros of analytic systems ⋮ Foreword. What is numerical algebraic geometry? ⋮ 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 ⋮ Computing complex and real tropical curves using monodromy
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