期刊: SIAM JOURNAL ON OPTIMIZATION, 2021; 31 (2)
For an inequality system defined by an infinite family of proper lower semicontinuous convex functions in normed linear space, we consider the Farkas-......
期刊: SIAM JOURNAL ON OPTIMIZATION, 2021; 31 (2)
Recently, in a series of papers [Y. Rahimi, C. Wang, H. Dong, and Y. Lou, SIAM J. Sci. Comput., 41 (2019), pp. A3649-A3672; C. Wang, M. Tao, J. Nagy, ......
期刊: SIAM JOURNAL ON OPTIMIZATION, 2021; 31 (1)
Solving the trust-region subproblem (TRS) plays a key role in numerical optimization and many other applications. The generalized Lanczos trust-region......
期刊: SIAM JOURNAL ON OPTIMIZATION, 2021; 31 (1)
We study the convergence issue for the gradient algorithm (employing general step sizes) for optimization problems on general Riemannian manifolds (wi......
期刊: SIAM JOURNAL ON OPTIMIZATION, 2021; 31 (2)
Multiple-input multiple-output (MIMO) detection is a fundamental problem in wireless communications and it is strongly NP-hard in general. Massive MIM......
期刊: SIAM JOURNAL ON OPTIMIZATION, 2021; 31 (1)
Recently, a new kind of distance has been introduced for the graphs of two point-to-set operators, one of which is maximally monotone. When both opera......
期刊: SIAM JOURNAL ON OPTIMIZATION, 2021; 31 (2)
The primary objective of this paper is to study a large class of differential variational-hemivariational inequalities involving history-dependent ope......
期刊: SIAM JOURNAL ON OPTIMIZATION, 2021; 31 (1)
The split equality problem (SEP) seeks a pair of points (x*, y*) is an element of (C, D) with the property that Ax* = By*, where C, D are nonempty clo......
期刊: SIAM JOURNAL ON OPTIMIZATION, 2020; 30 (2)
For the rank regularized minimization problem, we introduce several classes of stationary points by the problem itself and its equivalent reformulatio......
期刊: SIAM JOURNAL ON OPTIMIZATION, 2020; 30 (2)
In this work, we analyze the regularizing property of the stochastic gradient descent for the numerical solution of a class of nonlinear ill-posed inv......
期刊: SIAM JOURNAL ON OPTIMIZATION, 2020; 30 (2)
We construct a proximal average for two prox-bounded functions, which recovers the classical proximal average for two convex functions. The new proxim......
期刊: SIAM JOURNAL ON OPTIMIZATION, 2020; 30 (2)
We propose a subgradient-based method for finding the maximum feasible subsystem in a collection of closed sets with respect to a given closed set C (......
期刊: SIAM JOURNAL ON OPTIMIZATION, 2020; 30 (2)
In this paper, we study network linear equations subject to digital communications with a finite data rate, where each node is associated with one equ......
期刊: SIAM JOURNAL ON OPTIMIZATION, 2020; 30 (2)
We offer a unified treatment of distinct measures of well-posedness for homogeneous conic systems. To that end, we introduce a distance to infeasibili......
期刊: SIAM JOURNAL ON OPTIMIZATION, 2020; 30 (1)
In this paper, we provide the first provable linear-time (in terms of the number of nonzero entries of the input) algorithm for approximately solving ......