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@article{alizadeh03se,
Author = {F. Alizadeh and D. Goldfarb},
Date-Added = {2005-07-15 15:21:25 -0700},
Date-Modified = {2005-07-15 15:23:10 -0700},
Journal = {Math. Program., Ser. B},
Keywords = {optimization, second-order cone programming},
Local-Url = {alizadeh03se.pdf},
Pages = {3--51},
Title = {Second-order cone programming},
Volume = {95},
Year = {2003}}
@book{boyd04co,
Author = {S. Boyd and L. Vandenberghe},
Date-Modified = {2005-02-01 19:48:02 -0800},
Local-Url = {boyd04co.pdf},
Publisher = {Cambridge University Press},
Title = {Convex Optimization},
Year = {2004}}
@article{candes04ne,
Author = {E. Cand\`es and T. Tao},
Date-Modified = {2005-02-01 18:39:06 -0800},
Journal = {submitted to IEEE Trans.\ Inform.\ Theory},
Local-Url = {candes04ne.pdf},
Month = {November},
Note = {Available on the ArXiV preprint server: {\tt math.CA/0410542}},
Title = {Near-optimal signal recovery from random projections and universal encoding strategies},
Year = {2004}}
@article{candes04ro,
Author = {E. Cand\`es and J. Romberg and T. Tao},
Date-Modified = {2005-02-01 18:38:11 -0800},
Journal = {Submitted to IEEE Trans.\ Inform.\ Theory},
Local-Url = {candes04ro.pdf},
Month = {June},
Note = {Available on theArXiV preprint server: {\tt math.GM/0409186}},
Title = {Robust uncertainty principles: {E}xact signal reconstruction from highly incomplete frequency information},
Year = {2004}}
@misc{candes05da,
Author = {E. Cand\`es and T. Tao},
Date-Added = {2005-06-09 15:50:04 -0700},
Date-Modified = {2005-06-09 15:51:39 -0700},
Howpublished = {Manuscript},
Keywords = {l1 minimization},
Local-Url = {candes05da.pdf},
Month = {May},
Title = {The {D}antzig selector: statistical estimation when $p$ is much smaller than $n$},
Year = {2005}}
@article{candes05de,
Author = {E. J. Cand\`es and T. Tao},
Date-Modified = {2005-11-10 18:35:41 -0800},
Journal = {To appear in IEEE Trans. Inform. Theory},
Keywords = {l1 minimization, channel coding, sparse approximation},
Local-Url = {candes04de.pdf},
Month = {December},
Title = {Decoding by Linear Programming},
Year = {2005}}
@article{candes05qu,
Author = {E. Cand\`es and J. Romberg},
Date-Modified = {2005-07-25 16:02:31 -0700},
Journal = {To appear in Foundations of Comput. Math.},
Local-Url = {candes05qu.pdf},
Title = {Quantitative robust uncertainty principles and optimally sparse decompositions},
Year = {2005}}
@article{candes05st,
Author = {E. Cand\`es and J. Romberg and T. Tao},
Date-Added = {2005-03-09 15:46:42 -0800},
Date-Modified = {2005-07-06 11:37:57 -0700},
Journal = {Submitted to Communications on Pure and Applied Mathematics},
Keywords = {basis pursuit, exact recovery, sparse approximation},
Local-Url = {StableRecovery_submittedJune18.pdf},
Month = {March},
Title = {Stable signal recovery from incomplete and inaccurate measurements},
Year = {2005}}
@article{chan99no,
Author = {T. Chan and G. Golub and P. Mulet},
Date-Modified = {2005-07-25 11:01:52 -0700},
Journal = {SIAM J. Sci. Comput.},
Keywords = {total variation, SOCP},
Local-Url = {chan99no.pdf},
Pages = {1964--1977},
Title = {A nonlinear primal-dual method for total variation-based image restoration},
Volume = {20},
Year = {1999}}
@article{chen99at,
Author = {S. S. Chen and D. L. Donoho and M. A. Saunders},
Date-Modified = {2005-02-01 19:31:45 -0800},
Journal = {SIAM J. Sci. Comput.},
Local-Url = {chen99at.pdf},
Pages = {33--61},
Title = {Atomic decomposition by basis pursuit},
Volume = {20},
Year = {1999}}
@techreport{goldfarb04se,
Author = {D. Goldfarb and W. Yin},
Date-Added = {2005-04-28 23:28:23 -0700},
Date-Modified = {2005-04-28 23:30:01 -0700},
Institution = {Columbia University},
Keywords = {total variation, socp},
Local-Url = {goldfarb04se.pdf},
Title = {Second-order cone programming methods for total variation-based image restoration},
Year = {2004}}
@article{hintermueller05in,
Author = {H. Hinterm\"uller and G. Stadler},
Date-Added = {2005-11-01 15:55:09 -0800},
Date-Modified = {2005-11-01 15:57:35 -0800},
Journal = {To appear in SIAM J. Sci. Comput.},
Keywords = {total variation},
Local-Url = {hintermueller05in.pdf},
Title = {An infeasible primal-dual algorithm for {TV}-based inf-convolution-type image restoration},
Year = {2005}}
@article{lobo98ap,
Author = {M. Lobo and L. Vanderberghe and S. Boyd and H. Lebret},
Date-Added = {2005-10-27 13:24:01 -0700},
Date-Modified = {2005-10-27 13:26:03 -0700},
Journal = {Linear Algebra and its Applications},
Local-Url = {lobo98ap.pdf},
Pages = {193--228},
Title = {Applications of second-order cone programming},
Volume = {284},
Year = {1998}}
@book{nesterov94in,
Address = {Philadelphia},
Author = {Y. E. Nesterov and A. S. Nemirovski},
Publisher = {SIAM Publications},
Title = {Interior Point Polynomial Methods in Convex Programming},
Year = {1994}}
@book{nocedal99nu,
Address = {New York},
Author = {J. Nocedal and S. J. Wright},
Publisher = {Springer},
Title = {Numerical Optimization},
Year = {1999}}
@article{paige75so,
Author = {C. C. Paige and M. Saunders},
Date-Added = {2005-11-09 15:39:31 -0800},
Date-Modified = {2005-11-09 15:41:44 -0800},
Journal = {SIAM J. Numer. Anal.},
Keywords = {symmlq, linear systems},
Local-Url = {paige75so.pdf},
Month = {September},
Number = {4},
Title = {Solution of sparse indefinite systems of linear equations},
Volume = {12},
Year = {1975}}
@book{renegar01ma,
Author = {J. Renegar},
Date-Added = {2005-11-10 13:38:49 -0800},
Date-Modified = {2005-11-10 13:41:09 -0800},
Keywords = {optimization, interior point methods},
Publisher = {SIAM},
Series = {MPS-SIAM Series on Optimization},
Title = {A mathematical view of interior-point methods in convex optimization},
Year = {2001}}
@article{rudin92no,
Author = {L. I. Rudin and S. Osher and E. Fatemi},
Journal = {Physica D},
Pages = {259--68},
Title = {Nonlinear total variation noise removal algorithm},
Volume = {60},
Year = {1992}}
@misc{shewchuk94in,
Author = {J. R. Shewchuk},
Date-Added = {2005-05-02 15:38:06 -0700},
Date-Modified = {2005-07-15 15:55:22 -0700},
Howpublished = {Manuscript},
Keywords = {conjugate gradients},
Local-Url = {shewchuk94in.pdf},
Month = {August},
Title = {An introduction to the conjugate gradient method without the agonizing pain},
Url = {www.cs.cmu.edu/~quake-papers/painless-conjugate-gradient.pdf},
Year = {1994}}
@book{wright97pr,
Author = {S. J. Wright},
Publisher = {SIAM Publications},
Title = {Primal-Dual Interior-Point Methods},
Year = {1997}}
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