Matrices and n-widths

DOI10.1016/0024-3795(79)90046-6zbMath0437.41023OpenAlexW1985789290MaRDI QIDQ1141301

Allan Pinkus

Publication date: 1979

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(79)90046-6

zbMATH Keywords

matricesn-widthsapproximation by n-dimensional subspaces

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (8)

Nyström landmark sampling and regularized Christoffel functions ⋮ Sparse representations and approximation theory ⋮ Sampling, denoising and compression of matrices by coherent matrix organization ⋮ A class of symmetric and non-symmetric band matrices via binomial coefficients ⋮ The distance of a subspace of \(R^ m\) from its axes and n-widths of octahedra ⋮ Asymptotic estimates for \(n\)-width of fuzzy numbers ⋮ Best Low-rank Approximations and Kolmogorov $n$-widths ⋮ Some extremal problems for strictly totally positive matrices

Cites Work

• Diagonal operators, approximation numbers, and Kolmogoroff diameters
• Some problems in the approximation of functions of two variables and n- widths of integral operators
• Diameters of an infinite-dimensional octahedron
• Approximation numbers of linear operators and nuclear spaces
• Diameters of octahedra
• s-Numbers of operators in Banach spaces
• DIAMETERS OF SETS IN NORMED LINEAR SPACES AND THE APPROXIMATION OF FUNCTIONS BY TRIGONOMETRIC POLYNOMIALS
• On n-Widths in L ∞
• Best n -Dimensional Approximation to Sets of Functions
• DUALITY OF CONVEX FUNCTIONS AND EXTREMUM PROBLEMS
• Total positivity and the exact \(n\)-width of certain sets in \(L^1\)
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