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Journal Article
SIAM Journal on Numerical Analysis, ISSN 0036-1429, 1/2012, Volume 50, Issue 2, pp. 700 - 709
Journal Article
SIAM JOURNAL ON SCIENTIFIC COMPUTING, ISSN 1064-8275, 2011, Volume 33, Issue 1, pp. 250 - 278
In this paper, we propose and study the use of alternating direction algorithms for several l(1)-norm minimization problems arising from sparse solution... 
BASIS PURSUIT | MATHEMATICS, APPLIED | IMAGE-RESTORATION | RECONSTRUCTION | primal | alternating direction method | SIGNAL RECOVERY | THRESHOLDING ALGORITHM | augmented Lagrangian function | dual | LINEAR INVERSE PROBLEMS | MINIMIZATION | SHRINKAGE | MONOTONE VARIATIONAL-INEQUALITIES | l-minimization | compressive sensing
Journal Article
IMA Journal of Numerical Analysis, ISSN 0272-4979, 2012, Volume 32, Issue 1, pp. 227 - 245
The matrix completion problem is to complete an unknown matrix from a small number of entries, and it captures many applications in diversified areas.... 
noise | convex programming | low rank | matrix completion | nuclear norm | alternating direction method | MATHEMATICS, APPLIED | MINIMIZATION | APPROXIMATION | MONOTONE VARIATIONAL-INEQUALITIES | ALGORITHM
Journal Article
Information Processing Letters, ISSN 0020-0190, 04/2017, Volume 120, pp. 16 - 22
A monotone drawing of a graph is a straight-line planar drawing of such that every pair of vertices is connected by a path that is monotone with respect to... 
Schnyder woods | Monotone drawings | Graph algorithms | Hamiltonian graphs | Maximal planar graphs | CONVEX DRAWINGS | DIMENSION | PLANAR GRAPHS | COMPUTER SCIENCE, INFORMATION SYSTEMS | Algorithms
Journal Article
SIAM Journal on Optimization, ISSN 1052-6234, 2012, Volume 22, Issue 2, pp. 313 - 340
We consider the linearly constrained separable convex minimization problem whose objective function is separable into m individual convex functions with... 
Alternating direction method | Gaussian back substitution | Separable structure | Convex programming | SUPERRESOLUTION | SPARSITY | MATHEMATICS, APPLIED | alternating direction method | IMAGE-RECONSTRUCTION | DECOMPOSITION | convex programming | RANK | ALGORITHMS | separable structure | PENALTY | MONOTONE VARIATIONAL-INEQUALITIES
Journal Article
Mathematics of Computation of the American Mathematical Society, ISSN 0025-5718, 01/2013, Volume 82, Issue 281, pp. 301 - 329
Journal Article
Journal of Scientific Computing, ISSN 0885-7474, 5/2012, Volume 51, Issue 2, pp. 261 - 273
Journal Article
by Shen, Y and Wen, Z and Zhang, Y
Optimization Methods and Software, ISSN 1055-6788, 03/2014, Volume 29, Issue 2, pp. 239 - 263
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 01/2019, Volume 346, pp. 237 - 246
In this paper, monotonicity-preserving interpolation is generalized to direction-consistent interpolation. The conditions for constructing direction-consistent... 
Curve representation | Shape-preserving | Hermite interpolation | Tangent direction | MATHEMATICS, APPLIED | ENERGY | MONOTONIC DATA | CUBIC-SPLINES | SPLINE INTERPOLATION
Journal Article
SIAM Journal on Optimization, ISSN 1052-6234, 2013, Volume 23, Issue 4, pp. 2183 - 2207
We introduce a novel matrix recurrence yielding a new spectral analysis of the local transient convergence behavior of the alternating direction method of... 
Quadratic programming | Linear programming | ADMM | MATHEMATICS, APPLIED | PENALTY | SHRINKAGE | MONOTONE VARIATIONAL-INEQUALITIES | LASSO | linear programming | SPLITTING ALGORITHMS | CONVEX-OPTIMIZATION | quadratic programming | OPERATORS | INVERSE
Journal Article
SIAM Journal on Optimization, ISSN 1052-6234, 2013, Volume 23, Issue 1, pp. 475 - 507
Journal Article
European Journal of Operational Research, ISSN 0377-2217, 06/2019
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 2014, Volume 226, pp. 367 - 373
The alternating direction method of multipliers (ADMM) is known to be a classic and efficient method for constrained optimization problem with two blocks of... 
Convergence rate | Alternating direction method of multipliers | Convex programming | Variational inequalities | MATHEMATICS, APPLIED | MONOTONE VARIATIONAL-INEQUALITIES | ALGORITHM | DECOMPOSITION
Journal Article
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