Weak greedy algorithms

@article{Temlyakov2000WeakGA,
  title={Weak greedy algorithms},
  author={Vladimir N. Temlyakov},
  journal={Adv. Comput. Math.},
  year={2000},
  volume={12},
  pages={213-227}
}
Theoretical greedy type algorithms are studied: a Weak Greedy Algorithm, a Weak Orthogonal Greedy Algorithm, and a Weak Relaxed Greedy Algorithm. These algorithms are defined by weaker assumptions than their analogs the Pure Greedy Algorithm, an Orthogonal Greedy Algorithm, and a Relaxed Greedy Algorithm. The weaker assumptions make these new algorithms more ready for practical implementation. We prove the convergence theorems and also give estimates for the rate of approximation by means of… CONTINUE READING
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