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Symbolic homotopy construction
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/9781118032527openalex-snapshot
Principles of Algebraic Geometry
inferredcites →https://doi.org/10.1007/978-3-642-61257-2openalex-snapshot
Numerical Continuation Methods
inferredcites →https://doi.org/10.1007/978-3-642-61833-8openalex-snapshot
Algebraic Geometry I Complex Projective Varieties
inferredcites →https://doi.org/10.1007/bf01075534openalex-snapshot
Newton polytopes and the Bezout theorem
inferredcites →https://doi.org/10.1007/bf01075595openalex-snapshot
The number of roots of a system of equations
inferredcites →https://doi.org/10.1007/bf01077562openalex-snapshot
Newton polyhedra and the genus of complete intersections
inferredcites →https://doi.org/10.1016/0096-3003(87)90063-4openalex-snapshot
A homotopy for solving general polynomial systems that respects m-homogeneous structures
inferredcites →https://doi.org/10.1016/0096-3003(89)90129-xopenalex-snapshot
Globally convergent homotopy methods: A tutorial
inferredcites →https://doi.org/10.1016/0096-3003(91)90059-vopenalex-snapshot
A new start system for solving deficient polynomial systems using continuation
inferredcites →https://doi.org/10.1016/s0747-7171(08)80153-8openalex-snapshot
A faster way to count the solutions of inhomogeneous systems of algebraic equations, with applications to cyclic n-roots
inferredcites →https://doi.org/10.1115/1.2912579openalex-snapshot
Numerical Continuation Methods for Solving Polynomial Systems Arising in Kinematics
inferredcites →https://doi.org/10.1137/0724032openalex-snapshot
Numerical Solution of a Class of Deficient Polynomial Systems
inferredcites →https://doi.org/10.1145/101007.101044openalex-snapshot
Globally convergent homotopy methods: a tutorial
inferredcites →https://doi.org/10.1145/120694.120707openalex-snapshot
An optimal condition for determining the exact number of roots of a polynomial system
inferredcites →https://doi.org/10.1145/355934.355936openalex-snapshot
Testing Unconstrained Optimization Software
inferredcites →https://doi.org/10.1145/78928.78930openalex-snapshot
Chemical equilibrium systems as numerical test problems
inferredcites →https://doi.org/10.2307/2153001openalex-snapshot
Numerical Continuation Methods--An Introduction.
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1006/aama.1995.1005openalex-snapshot
Symmetrical Newton Polytopes for Solving Sparse Polynomial Systems
inferred← citeshttps://doi.org/10.1007/11832225_22openalex-snapshot
Parallel Homotopy Algorithms to Solve Polynomial Systems
inferred← citeshttps://doi.org/10.1007/3-540-27357-3_8openalex-snapshot
Introduction to numerical algebraic geometry
inferred← citeshttps://doi.org/10.1007/978-1-4471-4510-3_5openalex-snapshot
Applying Numerical Algebraic Geometry to Kinematics
inferred← citeshttps://doi.org/10.1007/978-3-319-72453-9_8openalex-snapshot
Homotopies for Connected Components of Algebraic Sets with Application to Computing Critical Sets
inferred← citeshttps://doi.org/10.1007/978-3-319-99957-9_12openalex-snapshot
Early Ending in Homotopy Path-Tracking for Real Roots
inferred← citeshttps://doi.org/10.1007/978-3-662-05148-1_6openalex-snapshot
Numerical Irreducible Decomposition Using PHCpack
inferred← citeshttps://doi.org/10.1007/bf01385710openalex-snapshot
An efficient start system for multi-homogeneous polynomial continuation
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Mixed-volume computation by dynamic lifting applied to polynomial system solving
inferred← citeshttps://doi.org/10.1007/s10440-012-9782-3openalex-snapshot
Numerically Computing Real Points on Algebraic Sets
inferred← citeshttps://doi.org/10.1016/0304-3975(94)00064-6openalex-snapshot
Homotopies for solving polynomial systems within a bounded domain
inferred← citeshttps://doi.org/10.1016/0377-0427(94)90329-8openalex-snapshot
Symmetric homotopy construction
inferred← citeshttps://doi.org/10.1016/j.amc.2009.12.014openalex-snapshot
Algebraic -actions and the inverse kinematics of a general 6R manipulator
inferred← citeshttps://doi.org/10.1016/j.amc.2016.08.023openalex-snapshot
Unification and extension of intersection algorithms in numerical algebraic geometry
inferred← citeshttps://doi.org/10.1016/j.jsc.2016.07.020openalex-snapshot
Certifying solutions to square systems of polynomial-exponential equations
inferred← citeshttps://doi.org/10.1016/s1570-8659(02)11004-0openalex-snapshot
Numerical Solution of Polynomial Systems by Homotopy Continuation Methods
inferred← citeshttps://doi.org/10.1016/s1570-8659(97)80002-6openalex-snapshot
Numerical path following
inferred← citeshttps://doi.org/10.1017/s0962492900002749openalex-snapshot
Numerical solution of multivariate polynomial systems by homotopy continuation methods
inferred← citeshttps://doi.org/10.1017/s0962492911000067openalex-snapshot
Numerical algebraic geometry and algebraic kinematics
inferred← citeshttps://doi.org/10.1090/s0025-5718-2010-02399-3openalex-snapshot
Regeneration homotopies for solving systems of polynomials
inferred← citeshttps://doi.org/10.1090/s0025-5718-96-00778-8openalex-snapshot
The BKK root count in 𝐂ⁿ
inferred← citeshttps://doi.org/10.1112/s0010437x12000437openalex-snapshot
Algebraic boundaries of Hilbert’s SOS cones
inferred← citeshttps://doi.org/10.1115/1.1667965openalex-snapshot
Geometric Design of Cylindric PRS Serial Chains
inferred← citeshttps://doi.org/10.1115/detc2004-57523openalex-snapshot
Inverse Static Analysis for a Planar Compliant Platform Mechanism
inferred← citeshttps://doi.org/10.1137/0731049openalex-snapshot
Homotopies Exploiting Newton Polytopes for Solving Sparse Polynomial Systems
inferred← citeshttps://doi.org/10.1137/0732061openalex-snapshot
A Product-Decomposition Bound for Bezout Numbers
inferred← citeshttps://doi.org/10.1145/2608628.2627490openalex-snapshot
Maximum likelihood for matrices with rank constraints
inferred← citeshttps://doi.org/10.18409/jas.v5i1.23openalex-snapshot
Maximum Likelihood for Matrices with Rank Constraints
inferred← citeshttps://doi.org/10.25080/majora-7ddc1dd1-009openalex-snapshot
Solving Polynomial Systems with phcpy
inferred← citeshttps://doi.org/10.25080/majora-7ddc1dd1-026openalex-snapshot
Proceedings of the 18th Python in Science Conference
inferred← citeshttps://doi.org/10.3934/dcdss.2011.4.1413openalex-snapshot
Multiple stable steady states of a reaction-diffusion modelon zebrafish dorsal-ventral patterning
inferred← citeshttps://doi.org/10.48550/arxiv.1105.6266openalex-snapshot
Numerically computing real points on algebraic sets
inferred← citeshttps://doi.org/10.48550/arxiv.1109.4547openalex-snapshot
Certifying solutions to square systems of polynomial-exponential equations
inferred← citeshttps://doi.org/10.48550/arxiv.math/9907060openalex-snapshot
Polynomial Homotopies for Dense, Sparse and Determinantal Systems
inferred← citeshttps://doi.org/10.70675/7f4d4f07z3f9az4405z8428z3a18cb79a6eeopenalex-snapshot
Finite fibers of rational maps by means of matrix representations with applications to distance problem
inferred← citeshttps://doi.org/10.7274/w3763487g2wopenalex-snapshot
Regeneration, local dimension, and applications in numerical algebraic geometry
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