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 | Similar Articles | Additional Information

**[1]**S. Banach,*Théorie des opérations linéaires*, Monografje Matematyczne, vol. 1, Warsaw, 1932.**[2]**Einar Hille,*Functional Analysis and Semi-Groups*, American Mathematical Society Colloquium Publications, vol. 31, American Mathematical Society, New York, 1948. MR**0025077****[3]**L. V. Kantorovich,*Functional analysis and applied mathematics*, NBS Rep. 1509, U. S. Department of Commerce, National Bureau of Standards, Los Angeles, Calif., 1952. Translated by C. D. Benster. MR**0053389****[4]**A. T. Lonseth,*The propagation of error in linear problems*, Trans. Amer. Math. Soc.**62**(1947), 193–212. MR**0022315**, https://doi.org/10.1090/S0002-9947-1947-0022315-4**[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 Unpublished mimeographed report, Dept.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 Report No. 10 of the same series as [5]), Unpublished mimeographed report, Dept.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