Error estimates for two-dimensional cross approximation
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Publication:606674
DOI10.1016/j.jat.2010.04.012zbMath1208.41017OpenAlexW2154588268MaRDI QIDQ606674
Publication date: 18 November 2010
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2010.04.012
Best approximation, Chebyshev systems (41A50) Approximation by other special function classes (41A30)
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Cites Work
- Best approximation by bilinear forms
- Approximation of periodic functions of several variables by combinations of functions depending on fewer variables
- Hierarchical matrices. A means to efficiently solve elliptic boundary value problems
- Atomic, molecular and wavelet decomposition of generalized 2-microlocal Besov spaces
- Approximation theory in tensor product spaces
- Finite rank approximations to integral operators which satisfy certain total positivity conditions
- Some problems in the approximation of functions of two variables and n- widths of integral operators
- Approximation to the Sobolev classes \(W_q^r\) of functions of several variables by bilinear forms in \(L_p\) for \(2\leq q\leq p\leq\infty\)
- A theory of pseudoskeleton approximations
- Adaptive low-rank approximation of collocation matrices
- Approximation of boundary element matrices
- Two-microlocal Besov spaces and wavelets.
- Accelerating Galerkin BEM for linear elasticity using adaptive cross approximation
- APPROXIMATION OF PERIODIC FUNCTIONS OF SEVERAL VARIABLES BY BILINEAR FORMS
- On n-Widths in L ∞
- Tensor approximations of matrices generated by asymptotically smooth functions
- Function spaces of varying smoothness I
- Wavelet methods for pointwise regularity and local oscillations of functions
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