Tensor spline approximation

DOI10.1016/0024-3795(80)90157-3zbMath0453.65004OpenAlexW1978652457MaRDI QIDQ1149220

Eric H. Grosse

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0024-3795(80)90157-3

zbMATH Keywords

least-squares fittingcyclic-shift tensor-factorization interpolation methodill-conditioned least-squares problemstensor-product splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10) Numerical solutions to overdetermined systems, pseudoinverses (65F20) Numerical mathematical programming methods (65K05) Linear programming (90C05) Spline approximation (41A15) Tensor products in functional analysis (46M05)

Related Items (4)

Linear least squares problems with data over incomplete grids ⋮ Integro-differential polynomial and trigonometrical splines and quadrature formulas ⋮ Bivariate least squares approximation with linear constraints ⋮ Least squares problems involving generalized Kronecker products and application to bivariate polynomial regression

Uses Software

• LINPACK
• PORT

Cites Work

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• Surface fitting by separation
• A practical guide to splines
• On the Perturbation of Pseudo-Inverses, Projections and Linear Least Squares Problems
• Efficient Computer Manipulation of Tensor Products
• Efficient Computer Manipulation of Tensor Products with Applications to Multidimensional Approximation
• A Note on the Least Squares Solution of a Band System of Linear Equations by Householder Reductions
• $L^2$-Multivariate Approximation Theory
• Blending-Function Methods of Bivariate and Multivariate Interpolation and Approximation
• Methods of conjugate gradients for solving linear systems

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