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For Most Large Underdetermined Systems of Equations, the Minimal ` 1 -norm Near-Solution Approximates the Sparsest Near-Solution
Solution of Underdetermined Linear Systems Approximate Sparse Solution of Linear equations
2015/8/21
We consider inexact linear equations y ≈ Φα where y is a given vector in R
n
, Φ is a
given n by m matrix, and we wish to find an α0, which is sparse and gives an approximate
solution, obey...
For Most Large Underdetermined Systems of Linear Equations the Minimal ` 1 -norm Solution is also the Sparsest Solution
Solution of Underdetermined Linear Systems Overcomplete Representations
2015/8/21
We consider linear equations y = Φα where y is a given vector in R
n
, Φ is a given n by m
matrix with n < m ≤ An, and we wish to solve for α ∈ Rm. We suppose that the columns
of Φ are normalized ...
Norm inequalities for square functions in some Morrey's subspaces
amalgams spaces Morrey spaces commutator g-function of Littlewood-Paley Lusin area function
2012/5/9
We prove that the intrinsic square function and the intrinsic Littlewood-Paley $g^{\ast}_{\lambda}$-function as defined by Wilson, are bounded in a family of weighted subspaces of Morrey spaces. The c...