On the inversion of certain matrices
Author:
Samuel Schechter
Journal:
Math. Comp. 13 (1959), 73-77
MSC:
Primary 65.00
DOI:
https://doi.org/10.1090/S0025-5718-1959-0105798-2
MathSciNet review:
0105798
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References | Similar Articles | Additional Information
- A. R. Collar, On the reciprocation of certain matrices, Proc. Roy. Soc. Edinburgh 59 (1939), 195–206. MR 8
- A. R. Collar, On the reciprocal of a segment of a generalized Hilbert matrix, Proc. Cambridge Philos. Soc. 47 (1951), 11–17. MR 38325 E. H. Linfoot & W. M. Shepherd, “On a set of linear equations, II,” Quart. J. Math., Oxford, v. 10, 1939, p. 84-98.
- 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
- G. Pólya and G. Szegö, Aufgaben und Lehrsätze aus der Analysis, Dover Publications, New York, N. Y., 1945 (German). MR 0015435
- Richard B. Smith, Two theorems on inverses of finite segments of the generalized Hilbert matrix, Math. Tables Aids Comput. 13 (1959), 41–43. MR 101873, DOI https://doi.org/10.1090/S0025-5718-1959-0101873-7
- L. M. Milne-Thomson, The Calculus of Finite Differences, Macmillan and Co., Ltd., London, 1951. MR 0043339
- John Todd, The condition of the 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. 109–116. MR 0068304
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Article copyright:
© Copyright 1959
American Mathematical Society
