An Unconstrained $\ell_q$ Minimization with $0q\leq1$ for Sparse Solution of Underdetermined Linear Systems

Type: Article

Publication Date: 2011-01-01

Citations: 181

DOI: https://doi.org/10.1137/090775397

Locations

  • SIAM Journal on Optimization - View

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Works Cited by This (26)

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+ PDF Chat Lower Bound Theory of Nonzero Entries in Solutions of $\ell_2$-$\ell_p$ Minimization 2010 Xiaojun Chen
Fengmin Xu
Yinyu Ye
+ From Sparse Solutions of Systems of Equations to Sparse Modeling of Signals and Images 2009 Alfred M. Bruckstein⋆
David L. Donoho
Michael Elad
+ Bregman Iterative Algorithms for $\ell_1$-Minimization with Applications to Compressed Sensing 2008 Wotao Yin
Stanley Osher
Donald Goldfarb
JĂŠrĂ´me Darbon
+ Signal Recovery and the Large Sieve 1992 David L. Donoho
B. F. Logan
+ Exact Reconstruction of Sparse Signals via Nonconvex Minimization 2007 Rick Chartrand
+ Sparsest solutions of underdetermined linear systems via <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mi>ℓ</mml:mi><mml:mi>q</mml:mi></mml:msub></mml:math>-minimization for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:mn>0</mml:mn><mml:mo>&lt;</mml:mo><mml:mi>q</mml:mi><mml:mo>⩽</mml:mo><mml:mn>1</mml:mn></mml:math> 2008 Simon Foucart
Ming‐Jun Lai
+ Sparse Approximate Solutions to Linear Systems 1995 B. K. Natarajan
+ Fast implementation of orthogonal greedy algorithm for tight wavelet frames 2005 Alexander Petukhov
+ A note on guaranteed sparse recovery via <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mi>ℓ</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:math>-minimization 2009 Simon Foucart
+ Nonlinear Methods of Approximation 2003 Vladimir Temlyakov