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math.OC2026
An augmented Lagrangian algorithm for constrained nonlinear least-squares
Pierre Borie, Fabian Bastin, Stéphane Dellacherie
We present an algorithm for solving nonlinear least-squares problems subject to a mix of nonlinear and linear constraints. The nonlinear constraints are handled by reformulating th…
math.OC2026
Structural conditions on trust-region radius updates. Part I: first-order convergence and complexity
Jérémy Rieussec, Fabian Bastin
Trust-region methods differ chiefly in how they update the radius, and each rule has traditionally been analysed on its own terms. We show that three structural conditions on the r…