On the Theories of Triangular Sets, Journal of Symbolic Computation, vol.28, issue.1-2, pp.105-124, 1999. ,
DOI : 10.1006/jsco.1999.0269
URL : https://hal.archives-ouvertes.fr/hal-01148870
Bertini: Software for numerical algebraic geometry ,
Certified Numerical Homotopy Tracking, Experimental Mathematics, vol.133, issue.27, pp.69-83, 2012. ,
DOI : 10.1088/0305-4470/27/12/028
Complexity Analysis of Root Clustering for a Complex Polynomial, Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation, ISSAC '16, pp.71-78, 2016. ,
DOI : 10.1007/978-3-642-03456-5_26
A near-optimal subdivision algorithm for complex root isolation based on the Pellet test and Newton iteration, Journal of Symbolic Computation, vol.86, 2017. ,
DOI : 10.1016/j.jsc.2017.03.009
Complete numerical isolation of real roots in zero-dimensional triangular systems, Journal of Symbolic Computation, vol.44, issue.7, pp.768-785, 2009. ,
DOI : 10.1016/j.jsc.2008.04.017
Computing the multiplicity structure in solving polynomial systems, Proceedings of the 2005 international symposium on Symbolic and algebraic computation, pp.116-123, 2005. ,
Computing Real Roots of Real Polynomials ... and now For Real!, Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation, ISSAC '16, pp.303-310, 2016. ,
DOI : 10.1145/1993886.1993938
URL : https://hal.archives-ouvertes.fr/hal-01363955
A Deterministic Algorithm to Compute Approximate Roots of Polynomial Systems in Polynomial Average Time, Foundations of Computational Mathematics, vol.17, issue.5, pp.1265-1292, 2017. ,
DOI : 10.1007/s00211-010-0334-3
URL : https://hal.archives-ouvertes.fr/hal-01178588
Solving zero-dimensional systems through the rational univariate representation Applicable Algebra in Engineering, Communication and Computing, vol.9, issue.5, pp.433-461, 1999. ,
DOI : 10.1007/s002000050114
The Numerical solution of systems of polynomials arising in engineering and science, World Scientific, 2005. ,
Real solution isolation with multiplicity of zero-dimensional triangular systems, Science China Information Sciences, vol.41, issue.1, pp.60-69, 2011. ,
DOI : 10.1007/978-0-585-33247-5_8
URL : http://arxiv.org/pdf/0906.3065