Convergence of approximate splines via pseudo-inverses

Franz-Jürgen Delvos; Walter Schempp

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1987)

  • Volume: 21, Issue: 2, page 261-267
  • ISSN: 0764-583X

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Delvos, Franz-Jürgen, and Schempp, Walter. "Convergence of approximate splines via pseudo-inverses." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 21.2 (1987): 261-267. <http://eudml.org/doc/193502>.

@article{Delvos1987,
author = {Delvos, Franz-Jürgen, Schempp, Walter},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {saddle point spline; Babuška-Brezzi condition; Hilbert spaces; pseudoinverses; finite element theory},
language = {eng},
number = {2},
pages = {261-267},
publisher = {Dunod},
title = {Convergence of approximate splines via pseudo-inverses},
url = {http://eudml.org/doc/193502},
volume = {21},
year = {1987},
}

TY - JOUR
AU - Delvos, Franz-Jürgen
AU - Schempp, Walter
TI - Convergence of approximate splines via pseudo-inverses
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1987
PB - Dunod
VL - 21
IS - 2
SP - 261
EP - 267
LA - eng
KW - saddle point spline; Babuška-Brezzi condition; Hilbert spaces; pseudoinverses; finite element theory
UR - http://eudml.org/doc/193502
ER -

References

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  1. [1] R. E. CHANG, The generalized inverse and interpolation theory, in « Recent Applications of Generalized inverses » (S. L. Campbell, Ed.), Pitman, New York, 1983. Zbl0505.41004MR666728
  2. [2] F.-J. DELVOS, Splines and pseudo-inverses, RAIRO Anal. Numer. 12 (1978), 313-324. Zbl0393.65022MR519015
  3. [3] F.-J. DELVOS, Pseudoinversen und Splines in Hilberträumen, Habilitationsschrift, Universität Siegen 1979. Zbl0463.41024
  4. [4] F.-J. DELVOS and W. SCHEMPP, Optimal approximation and the method of least squares, J. Approx. Theory 33 (1981), 214-223. Zbl0445.41008MR647848
  5. [5] C. W. GROETSCH, Generalized inverses and generalized splines, Numer. Funct.Optim. 2 (1980), 93-97. Zbl0456.47003MR580385
  6. [6] S. IZUMINO, Convergence of generalized inverses and spline projectors, J.Approx. Theory 38 (1983), 269-278. Zbl0519.41016MR705545
  7. [7] P. LAURENT, Approximation et optimisation, Paris, Herrmann 1972. Zbl0238.90058
  8. [8] I. J. SCHOENBERG, Splines as limits of polynomials, Linear Algebra and itsApplications 52/53(1983), 617-628. Zbl0517.41004MR709376
  9. [9] M. TASCHE, A unified approach to interpolation methods, J. Intégral Equations 4(1982), 55-75. Zbl0487.41005MR640536

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