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]**E. Hille,*Functional analysis and semi-groups*, Amer. Math. Soc. Colloquium Publications, New York, 1948. MR**0025077 (9:594b)****[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 Unpublished mimeographed report, Dept.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 Report No. 10 of the same series as [5]), Unpublished mimeographed report, Dept.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