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A line search exact penalty method using steering rules., , и . Math. Program., 133 (1-2): 39-73 (2012)Evaluation of Step Directions in Optimization Algorithms., и . ACM Trans. Math. Softw., 11 (1): 12-19 (1985)Feasible Interior Methods Using Slacks for Nonlinear Optimization., , и . Comput. Optim. Appl., 26 (1): 35-61 (2003)A Matrix-Free Algorithm for Equality Constrained Optimization Problems with Rank-Deficient Jacobians., , и . SIAM J. Optim., 20 (3): 1224-1249 (2009)On Large-Batch Training for Deep Learning: Generalization Gap and Sharp Minima, , , , и . (2016)cite arxiv:1609.04836Comment: Accepted as a conference paper at ICLR 2017.Analysis of the BFGS Method with Errors., , и . SIAM J. Optimization, 30 (1): 182-209 (2020)On the Behavior of Broyden's Class of Quasi-Newton Methods., , и . SIAM J. Optimization, 2 (4): 533-557 (1992)A Progressive Batching L-BFGS Method for Machine Learning., , , , и . ICML, том 80 из Proceedings of Machine Learning Research, стр. 619-628. PMLR, (2018)On Large-Batch Training for Deep Learning: Generalization Gap and Sharp Minima., , , , и . ICLR, OpenReview.net, (2017)Algorithm 809: PREQN: Fortran 77 subroutines for preconditioning the conjugate gradient method., и . ACM Trans. Math. Softw., 27 (1): 83-91 (2001)