Abstract
A problem arising in solid state physics is used to discuss different questions arising in connection with the numerical solution of incorrectly posed problems.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
ARBIB, M. A.: Book Review. Bull. Amer. Math. Soc. 83, 946–951 (1977).
BARRODALE, I.: Linear programming solutions to integral equations. Chapter 8 of: M. Delves and J. Walsh, eds.: Numerical Solution of Integral Equations, pp. 97–107. Oxford: Clarendon Press 1974.
COX, D. R.: Planning of Experiments. New York: John Wiley & Sons, Inc. 1958.
DORMANN, E., U. Goebel und U. Koebler: In preparation.
ECKHARDT, U.: Zur numerischen Behandlung inkorrekt gestellter Aufgaben. Computing 17, 193–206 (1976).
GOLUB, G. H. and C. REINSCH: Singular value decomposition and least squares solutions. In: J. H. Wilkinson and C. Reinsch, eds.: Lineare Algebra. Handbook for Automatic Computation, Volume II, pp. 134–151. Berlin, Heidelberg, New York: Springer-Verlag 1971. Numer. Math. 14, 403–420 (1970).
HANSON, R. J. and C. L. LAWSON: Solving Least Squares Problems. Englewood Cliffs: Prentice-Hall 1974.
IMSL Library 1, Edition 6, 1977. (FORTRAN IV) IBM S 370–360, Xerox Sigma S 6–7-9–11-560. Houston, Texas: International Mathematical and Statistical Libraries, Inc. 1977.
MOROZOV, V.A.: Regular Methods for Solving Incorrectly Posed Problems (Russian). Izd. Moskovskogo Un-ta 1974.
SMITH, K. T., S. L. WAGNER and R. B GUENTHER: Reconstruction from X-rays. In: C. A. Micchelli and T. J. Rivlin, eds.: Optimal Estimation in Approximation Theory. pp. 215–227. New York, London: Plenum Press 1977.
SMITH, S. J.: Numerical algorithm for the inversion of a truncated Laplace transform with applications to biomedical problems. PhD Thesis. Washington University, Saint Louis, Missouri, 1974.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1980 Springer Basel AG
About this chapter
Cite this chapter
Eckhardt, U., Mika, K. (1980). Numerical Treatment of Incorrectly Posed Problems. In: Albrecht, J., Collatz, L. (eds) Numerical Treatment of Integral Equations / Numerische Behandlung von Integralgleichungen. International Series of Numerical Mathematics / International Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 53. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6314-8_6
Download citation
DOI: https://doi.org/10.1007/978-3-0348-6314-8_6
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-1105-6
Online ISBN: 978-3-0348-6314-8
eBook Packages: Springer Book Archive