Banded matrices with banded inverses

DOI10.1016/0377-0427(92)90136-LzbMath0757.15012MaRDI QIDQ1195391

Charles A. Micchelli

Publication date: 26 October 1992

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

multivariate interpolationcubic splinesbivariate interpolationreconstruction methodsbanded inversesmultivariate cardinal interpolationmultivariate rectangular Toeplitz matrices

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Hermitian, skew-Hermitian, and related matrices (15B57) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Spline approximation (41A15)

Related Items (7)

Quasi-interpolants associated with \(H\)-splines on a three-direction mesh ⋮ Study on the generator \(f\) of the operators \(I_n\) and \(I_t\) ⋮ On spline-based differential quadrature ⋮ A general spline differential quadrature method based on quasi-interpolation ⋮ On the invertibility of ``rectangular bi-infinite matrices and applications in time-frequency analysis ⋮ Quasi-interpolation projectors for box splines ⋮ Spline wavelets on the interval with homogeneous boundary conditions

Cites Work

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• Subdivision algorithms for the generation of box spline surfaces
• Compactly supported fundamental functions for spline interpolation
• Serre's conjecture
• Stationary subdivision
• On Refinement Equations Determined by Pólya Frequency Sequences
• Notes on n-Dimensional System Theory
• On linear independence for integer translates of a finite number of functions

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