Sampling algebraic sets in local intrinsic coordinates
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Publication:2429015
DOI10.1016/j.camwa.2011.09.013zbMath1236.14052arXiv0912.2751OpenAlexW2134333966MaRDI QIDQ2429015
Publication date: 22 April 2012
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0912.2751
polynomial systemscondition numbersnumerical algebraic geometry\texttt{Maple}path trackinggeneric points\texttt{PHCpack}local intrinsic coordinates
Computational aspects of higher-dimensional varieties (14Q15) Semialgebraic sets and related spaces (14P10) Nonlinear algebraic or transcendental equations (65H99)
Uses Software
Cites Work
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- Point estimation of root finding methods
- Primary decomposition of lattice basis ideals
- Numerical homotopies to compute generic points on positive dimensional algebraic sets
- Numerical stability of path tracing in polyhedral homotopy continuation methods
- Algebraic Geometry. I: Complex projective varieties.
- Numerical algebraic geometry
- An intrinsic homotopy for intersecting algebraic varieties
- Newton's method with deflation for isolated singularities of polynomial systems
- Numerical Decomposition of the Solution Sets of Polynomial Systems into Irreducible Components
- Certified Numerical Homotopy Tracking
- Continuations and monodromy on random riemann surfaces
- Adaptive Multiprecision Path Tracking
- LAPACK Users' Guide
- On Measures of Ill-Conditioning for Nonlinear Equations
- Introduction to Numerical Continuation Methods
- Algorithm 795
- Homotopies for Intersecting Solution Components of Polynomial Systems
- The Condition Number of Equivalence Transformations That Block Diagonalize Matrix Pencils
- The Complex Zeros of Random Polynomials
- Polynomial homotopy continuation with PHCpack
- Computing the multiplicity structure in solving polynomial systems
- The Numerical Solution of Systems of Polynomials Arising in Engineering and Science
- Interfacing with the Numerical Homotopy Algorithms in PHCpack
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