An iterative solution of the quadratic equation in Banach space
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- by J. E. McFarland PDF
- Proc. Amer. Math. Soc. 9 (1958), 824-830 Request permission
References
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S. Banach, Théorie des opérations linéaires, Monografje Matematyczne, vol. 1, Warsaw, 1932.
- Einar Hille, Functional Analysis and Semi-Groups, American Mathematical Society Colloquium Publications, Vol. 31, American Mathematical Society, New York, 1948. MR 0025077
- L. V. Kantorovich, Functional analysis and applied mathematics, U. S. Department of Commerce, National Bureau of Standards, Los Angeles, Calif., 1952. Translated by C. D. Benster; NBS Rep. 1509. MR 0053389
- A. T. Lonseth, The propagation of error in linear problems, Trans. Amer. Math. Soc. 62 (1947), 193–212. MR 22315, DOI 10.1090/S0002-9947-1947-0022315-4 L. B. Rall, An application of Newton’s method to the solution of a non-linear integral equation (U. S. Army Off. Ord. Research. Project: Numerical Solution of Integral Equations. Technical Report No. 7). Unpublished mimeographed report, Dept. of Math., Oregon State College. —, The quadratic formula in Banach space, (Tech. Report No. 10 of the same series as [5]), Unpublished mimeographed report, Dept. of Math., Oregon State College. A. C. Zaanen, Linear analysis, New York, Interscience, 1953.
Additional Information
- © Copyright 1958 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 9 (1958), 824-830
- MSC: Primary 46.00; Secondary 65.00
- DOI: https://doi.org/10.1090/S0002-9939-1958-0096147-8
- MathSciNet review: 0096147