The reduced basis method was introduced for the accurate online evaluation of solutions to a parameter dependent family of elliptic partial differential equations. Abstractly, it can be viewed asâ€¦ (More)

A basis for a Banach space X is greedy if and only if the greedy algorithm provides, up to a constant C depending only on X, the best m-term approximation for each element of the space. It is knownâ€¦ (More)

This paper considers the problem of optimal recovery of an element u of a Hilbert space H from measurements of the form `j(u), j = 1, . . . ,m, where the `j are known linear functionals on H.â€¦ (More)

We study the convergence of certain greedy algorithms in Banach spaces. We introduce the WN property for Banach spaces and prove that the algorithms converge in the weak topology for generalâ€¦ (More)

Let X be a real Banach space and let (f(n)) be a positive nondecreasing sequence. We consider systems of unit vectors (xi) âˆž i=1 in X which satisfy â€– âˆ‘ iâˆˆAÂ±xiâ€– â‰¥ |A| âˆ’ f(|A|), for all finite A âŠ‚ Nâ€¦ (More)

In this paper we investigatet the efficiency of the Orthogonal Matching Pursuit for random dictionaries. We concentrate on dictionaries satisfying Restricted Isometry Property. We introduce aâ€¦ (More)

Proceedings of the National Academy of Sciencesâ€¦

1994

The problem of the fluctuations of the number n of particles adsorbed on surfaces through a random sequential adsorption process is discussed. Attention is paid, in particular, to the effect of theâ€¦ (More)

The objective of the study was to evaluate cytometrically the percentage of apoptotic and necrotic spermatozoa in fresh semen of silver foxes in the breeding season. In males F3 and F4 with highâ€¦ (More)