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On the reciprocal of a segment of a generalized hilbert matrix

Published online by Cambridge University Press:  24 October 2008

A. R. Collar
A. R. Collar
Affiliation:
The UniversityBristol
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Extract

1. Introductory. The present paper is mainly concerned with some forms for the reciprocal of the square matrix u of which the typical element is

and k is not an integer within the range ± (n − 1) inclusive but is otherwise arbitrary; thus

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 47 , Issue 1 , January 1951 , pp. 11 - 17
Copyright
Copyright © Cambridge Philosophical Society 1951

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References

REFERENCES

(1)Collar, A. R.On the reciprocation of certain matrices. Proc. Roy. Soc. Edinb. 59 (1939), 195.Google Scholar
(2)Linfoot, E. H. and Shepherd, W. M.On a set of linear equations (II). Quart. J. Math. 10 (1939), 84.CrossRefGoogle Scholar
(3)Schlichting, H. and Kahlert, W.Calculation of the lift distribution on swept wings. R.A.E. Report Aero. 2297. A.R.C. 12, 238 (1949).Google Scholar