On band circulant matrices in the periodic spline interpolation theory

DOI10.1016/0024-3795(85)90153-3zbMath0584.41004OpenAlexW2002469980MaRDI QIDQ1070467

François Dubeau

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0024-3795(85)90153-3

zbMATH Keywords

band circulant matrixperiodic spine

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Interpolation in approximation theory (41A05) Spline approximation (41A15)

Related Items (2)

On circulant matrices for certain periodic spline and histospline projections ⋮ Unnamed Item

Cites Work

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• Periodic even degree spline interpolation on a uniform partition
• A lower bound for the smallest singular value of a matrix
• Explicit Error Bounds for Periodic Splines of Odd Order on a Uniform Mesh
• A Bound on the Inverse of a Band Matrix Which Occurs in Interpolation by Periodic Odd Order Splines
• 𝑂(ℎ^{2𝑛+2-𝑙}) bounds on some spline interpolation errors
• Linear Dependence Relations Connecting Equal Interval Nth Degree Splines and Their Derivatives
• A Generalization of the Geometric Series

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