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math.OC2026
Quasi-Newton and Krylov Methods for the Solution of Nonconvex Trust-Region Subproblems
Johann Bourhis, Oihan Cordelier, Jean-Pierre Dussault +2
We study the solution of symmetric positive-definite linear systems by way of families of full- and limited-memory methods. Our contributions are threefold. We first derive new rel…
math.OC2021★ 1 cited
Scalable adaptive cubic regularization methods
Jean-Pierre Dussault, Dominique Orban
Adaptive cubic regularization (ARC) methods for unconstrained optimization compute steps from linear systems involving a shifted Hessian in the spirit of the Levenberg-Marquardt an…