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Autor:
Evgenii D Livshits
Publikováno v:
Sbornik: Mathematics. 203:183-195
The paper shows that if a matrix has the restricted isometry property (RIP) of order with isometry constant and if its coherence is less than , then the Orthogonal Matching Pursuit (the Orthogonal Greedy Algorithm) is capable to exactly recover an ar
Autor:
Evgenii D Livshits
Publikováno v:
Sbornik: Mathematics. 201:253-288
The approximation properties of the X-greedy algorithm in the space Lp(0,1) are studied. For 1 < p < 2 estimates for the rate of convergence of the X-greedy algorithm with respect to the Haar system are obtained that are close to optimal. Bibliograph