Inversion of normal operators by polynomial interpolation
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- by J. C. Dunn PDF
- Proc. Amer. Math. Soc. 40 (1973), 225-228 Request permission
Abstract:
The inverse of a bounded normal linear operator on a Hilbert space is uniformly approximated by a sequence of Newton interpolation polynomials, provided the operator’s spectrum lies in either the right or left open half-planes.References
- J. C. Dunn, On recursive averaging processes and Hilbert space extensions of the contraction mapping principle, J. Franklin Inst. 295 (1973), 117–133. MR 365246, DOI 10.1016/0016-0032(73)90223-8
- James B. Scarborough, Numerical mathematical analysis, Johns Hopkins Press, Baltimore, Md.; Oxford University Press, London, 1955. 3rd ed. MR 0075671
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 40 (1973), 225-228
- MSC: Primary 47A60
- DOI: https://doi.org/10.1090/S0002-9939-1973-0318934-9
- MathSciNet review: 0318934