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MR2503311 (2011b:65045) 65F05 (15A06 41A29 65F22 90C26 94A12)
Foucart, Simon; Lai, Ming-Jun Sparsest solutions of underdetermined linear systems via $l\sb q$-minimization for $0<q\leq 1$. Appl. Comput. Harmon. Anal. 26 (2009), no. 3, 395–407.
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