The cyclic Barzilai-–Borwein method for unconstrained optimization

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How researchers see this paper

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New adaptive stepsize selections in gradient methods (2008, methodology): “Special implementations of (5) that exploit the cyclic use of the SD step [5, 6, 16] or the BB1 step [5, 10] have been investigated, showing a meaningful convergence acceleration on ill-conditioned problems.”
Sparse Reconstruction by Separable Approximation (2008, methodology): “We are particularly interested in variants based on the formula proposed by Barzilai and Borwein (BB) [1] in the context of smooth nonlinear minimization; see also [19] , [50].”
Barzilai-Borwein Step Size for Stochastic Gradient Descent (2016, methodology): “For convergence analysis, generalizations and variants of the BB method, we refer the interested readers to [14, 15, 6, 9, 4, 5, 3] and references therein.”
Stochastic Quasi-Newton Methods for Nonconvex Stochastic Optimization (2016, unknown): “, [8, 20]).”
Generative-Discriminative Basis Learning for Medical Imaging (2012, methodology): “There are several choices for BB step length [44], in this paper, we choose the following method to compute it [45]”
A reconstruction algorithm for electrical impedance tomography based on sparsity regularization (2012, background): “This is one basic variant among many popular BB rules [27, 28].”
Probing the Pareto Frontier for Basis Pursuit Solutions (2008, background): “In this section we outline a spectral projected-gradient (SPG) algorithm for this purpose.”