Splines and pseudo-inverses

DOI10.1051/m2an/1978120403131zbMath0393.65022OpenAlexW2586741130MaRDI QIDQ4176344

Franz-Jürgen Delvos

Publication date: 1978

Published in: RAIRO. Analyse numérique (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193326

zbMATH Keywords

Golomb-Weinberger-SardInterpolating Splines of Minimum NormPseudoinverse of Minamide and NakamuraTensor Product Splines

Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Spline approximation (41A15) Tensor products in functional analysis (46M05)

Related Items (5)

Matrix representations of multivalued projections and least squares problems ⋮ Convergence of approximate splines via pseudo-inverses ⋮ Optimal approximation and its method of least squares ⋮ Convergence of generalized inverses and spline projectors ⋮ Oblique projections and abstract splines.

Cites Work

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• On multivariate spline systems
• Optimal approximation
• On generalized inverses and on the uniform convergence of \((I-\beta K)_ n\) with application to iterative methods
• A Restricted Pseudoinverse and Its Application to Constrained Minima
• Generalized Inverses of a Bordered Matrix of Operators
• Note on Fitting of Functions of Several Independent Variables
• A Note on Pseudoinverses
• On optimal tensor product approximation

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