Uncertainty in the solution of linear operator equations
- Peter Linz
- … show all 1 hide
Rent the article at a discountRent now
* Final gross prices may vary according to local VAT.Get Access
In this paper we introduce and explore the concept of uncertainty of an approximate solution of a linear operator equation. This uncertainty is a measure of the difference between a computed solution and other plausible answers. When the operator equation is wellposed, the uncertainty is closely related to the more traditional notion of the accuracy of an approximate solution. However, for illposed equations, the uncertainty concept gives a new way of looking at such problems and helps in assessing the meaning of the computed results.
- F. R. de Hoog,Review of Fredholm equations of the first kind, in R. S. Anderssen, F. R. de Hoog and M. A. Lukas (eds.)The Application and Numerical Solution of Integral Equations. Sijthoff and Noordhoff, Alphen aan den Rijn, 1980.
- P. Linz,Theoretical Numerical Analysis, Wiley-Interscience, New York, 1979.
- A. N. Tikhonov and V. Y. Arsenin,Solution of Ill-posed Problems, V. H. Winston, Washington, D.C. 1977.
- Uncertainty in the solution of linear operator equations
BIT Numerical Mathematics
Volume 24, Issue 1 , pp 92-101
- Cover Date
- Print ISSN
- Online ISSN
- Kluwer Academic Publishers
- Additional Links
- Industry Sectors
- Peter Linz (1)
- Author Affiliations
- 1. Division of Computer Science, University of California, 95616, Davis, California, USA