2 papers
math.NA2026
Computing singular solutions of polynomial systems: towards superlinear convergence without deflation
Mikhail Karapetyants, Vladimir Kolmogorov, Jeferson Zapata
In Numerical Algebraic Geometry (NAG) isolated solutions of polynomial systems are usually computed by tracking a solution curve defined by a homotopy equation. The tracking proble…
math.OC2025
Certifying solutions of degenerate semidefinite programs
Vladimir Kolmogorov, Simone Naldi, Jeferson Zapata
This paper deals with the algorithmic aspects of solving feasibility problems of semidefinite programming (SDP), aka linear matrix inequalities (LMI). Since in some SDP instances a…