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Two theorems on inverses of finite segments of the generalized Hilbert matrix

Author: Richard B. Smith
Journal: Math. Comp. 13 (1959), 41-43
MSC: Primary 15.00
MathSciNet review: 0101873
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  • [1] Richard Savage and Eugene Lukacs, Tables of inverses of finite segments of the Hilbert matrix, Contributions to the solution of systems of linear equations and the determination of eigenvalues, National Bureau of Standards Applied Mathematics Series No. 39, U. S. Government Printing Office, Washington, D. C., 1954, pp. 105–108. MR 0068303
  • [2] A. R. Collar, On the reciprocation of certain matrices, Proc. Roy. Soc. Edinburgh 59 (1939), 195–206. MR 0000008
  • [3] A. R. Collar, On the reciprocal of a segment of a generalized Hilbert matrix, Proc. Cambridge Philos. Soc. 47 (1951), 11–17. MR 0038325
  • [4] G. Pólya & G. Szegö, Aufgaben und Lehrsätze aus der Analysis, v. 2, Springer-Verlag, Berlin, 1954, p. 98.
  • [5] E. Netto, Lehrbuch der Combinatorik, B. G. Teubner, Leipzig, 1901, p. 252.

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Article copyright: © Copyright 1959 American Mathematical Society

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