Two theorems on inverses of finite segments of the generalized Hilbert matrix
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- by Richard B. Smith PDF
- Math. Comp. 13 (1959), 41-43 Request permission
References
- 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
- A. R. Collar, On the reciprocation of certain matrices, Proc. Roy. Soc. Edinburgh 59 (1939), 195–206. MR 8, DOI 10.1017/S0370164600012281
- A. R. Collar, On the reciprocal of a segment of a generalized Hilbert matrix, Proc. Cambridge Philos. Soc. 47 (1951), 11–17. MR 38325, DOI 10.1017/S0305004100026311 G. Pólya & G. Szegö, Aufgaben und Lehrsätze aus der Analysis, v. 2, Springer-Verlag, Berlin, 1954, p. 98. E. Netto, Lehrbuch der Combinatorik, B. G. Teubner, Leipzig, 1901, p. 252.
Additional Information
- © Copyright 1959 American Mathematical Society
- Journal: Math. Comp. 13 (1959), 41-43
- MSC: Primary 15.00
- DOI: https://doi.org/10.1090/S0025-5718-1959-0101873-7
- MathSciNet review: 0101873