
Complexity Analysis of Root Clustering for a Complex Polynomial
Let F(z) be an arbitrary complex polynomial. We introduce the local root...
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Isotopic Arrangement of Simple Curves: an Exact Numerical Approach based on Subdivision
This paper presents the first purely numerical (i.e., nonalgebraic) sub...
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Soft Subdivision Motion Planning for Complex Planar Robots
The design and implementation of theoreticallysound robot motion planni...
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An Algorithmic Approach to Limit Cycles of Nonlinear Differential Systems: the Averaging Method Revisited
This paper introduces an algorithmic approach to the analysis of bifurca...
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Rods and Rings: Soft Subdivision Planner for R^3 x S^2
We consider path planning for a rigid spatial robot moving amidst polyhe...
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SIAN: software for structural identifiability analysis of ODE models
Biological processes are often modeled by ordinary differential equation...
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Implementation of a NearOptimal Complex Root Clustering Algorithm
We describe Ccluster, a software for computing natural ϵclusters of com...
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Clustering Complex Zeros of Triangular Systems of Polynomials
This paper gives the first algorithm for finding a set of natural ϵclus...
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Clustering Complex Zeros of Triangular System of Polynomials
This report is about finding clusters of complex solutions of triangular...
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A NearOptimal Subdivision Algorithm for Complex Root Isolation based on the Pellet Test and Newton Iteration
We describe a subdivision algorithm for isolating the complex roots of a...
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