Nonmonotone Barzilai–Borwein Gradient Algorithm for $$\ell _{1}$$ ℓ 1 -Regularized Nonsmooth Minimization in Compressive Sensing

Alternating Direction Method for Covariance Selection Models

(2011) Xiaoming Yuan   JOURNAL OF SCIENTIFIC COMPUTING

An augmented Lagrangian approach for sparse principal component analysis

(2011) Zhaosong Lu et al.   MATHEMATICAL PROGRAMMING

On the convergence of an active-set method for ℓ1minimization

(2011) Zaiwen Wen et al.   OPTIMIZATION METHODS & SOFTWARE

NESTA: A Fast and Accurate First-Order Method for Sparse Recovery

(2011) Stephen Becker et al.   SIAM Journal on Imaging Sciences

Alternating Direction Algorithms for $\ell_1$-Problems in Compressive Sensing

(2011) Junfeng Yang et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

A NONMONOTONE FILTER BARZILAI-BORWEIN METHOD FOR OPTIMIZATION

(2010) YAN ZHANG et al.   ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH

A Singular Value Thresholding Algorithm for Matrix Completion

(2010) Jian-Feng Cai et al.   SIAM JOURNAL ON OPTIMIZATION

A Fast Algorithm for Sparse Reconstruction Based on Shrinkage, Subspace Optimization, and Continuation

(2010) Zaiwen Wen et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization

(2010) Benjamin Recht et al.   SIAM REVIEW

A coordinate gradient descent method for ℓ 1-regularized convex minimization

(2009) Sangwoon Yun et al.   COMPUTATIONAL OPTIMIZATION AND APPLICATIONS

A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems

(2009) Amir Beck et al.   SIAM Journal on Imaging Sciences

A derivative-free nonmonotone line search and its application to the spectral residual method

(2008) W. Cheng et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

Fixed-Point Continuation for $\ell_1$-Minimization: Methodology and Convergence

(2008) Elaine T. Hale et al.   SIAM JOURNAL ON OPTIMIZATION