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The numerical solution of systems of polynomials - arising in engineering and science
Background: Polynomial Systems Homotopy Continuation Projective Spaces Probability One Polynomials of One Variable Other Methods Isolated Solutions: Coefficient-Parameter Homotopy Polynomial…
Numerically Solving Polynomial Systems with Bertini
- D. Bates, A. Sommese, J. Hauenstein, C. Wampler
- Computer ScienceSoftware, environments, tools
- 6 November 2013
Numerically Solving Polynomial Systems with Bertini approaches numerical algebraic geometry from a user's point of view with numerous examples of how Bertini is applicable to polynomial systems.
The Adjunction Theory of Complex Projective Varieties
The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics…
A homotopy for solving general polynomial systems that respects m-homogeneous structures
Numerical Continuation Methods for Solving Polynomial Systems Arising in Kinematics
Numerical Decomposition of the Solution Sets of Polynomial Systems into Irreducible Components
- A. Sommese, J. Verschelde, C. Wampler
- Mathematics, Computer ScienceSIAM J. Numer. Anal.
- 1 November 2000
This article presents algorithms, based on homotopy continuation, that compute much of the geometric information contained in the primary decomposition of the solution set of polynomial systems, by finding, at each dimension, generic points on each component.
On Reider’s method and higher order embeddings