153 citations · 165 across the 10 of their papers we have counts for
Showing 2023Show all
2 papers · 1 filter
math.OC2023
Fast convergence of trust-regions for non-isolated minima via analysis of CG on indefinite matrices
Quentin Rebjock, Nicolas Boumal
Trust-region methods (TR) can converge quadratically to minima where the Hessian is positive definite. However, if the minima are not isolated, then the Hessian there cannot be pos…
math.OC2023★ 3 cited
Fast convergence to non-isolated minima: four equivalent conditions for functions
Quentin Rebjock, Nicolas Boumal
Optimization algorithms can see their local convergence rates deteriorate when the Hessian at the optimum is singular. These singularities are inescapable when the optima are non-i…