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An iterative solution of the quadratic equation in Banach space


Author: J. E. McFarland
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
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References [Enhancements On Off] (What's this?)

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  • [3] L. V. Kantorovich, Functional analysis and applied mathematics, Tr. by C. D. Benster, Los Angeles, Institute for Numerical Analysis, 1952. MR 0053389 (14:766d)
  • [4] A. T. Lonseth, The propagation of error in linear problems, Trans. Amer. Math. Soc. vol. 6 (1947) pp. 193-212. MR 0022315 (9:192f)
  • [5] 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 Unpublished mimeographed report, Dept.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.
  • [6] -, 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 Report No. 10 of the same series as [5]), Unpublished mimeographed report, Dept.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.
  • [7] A. C. Zaanen, Linear analysis, New York, Interscience, 1953.

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DOI: https://doi.org/10.1090/S0002-9939-1958-0096147-8
Article copyright: © Copyright 1958 American Mathematical Society

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