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Mathematics of Computation

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Hilbert’s double series theorem and principal latent roots of the resulting matrix

Authors: R. A. Fairthorne and J. C. P. Miller
Journal: Math. Comp. 3 (1949), 399-400
MSC: Primary 65.0X
MathSciNet review: 0029541
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References [Enhancements On Off] (What's this?)

    H. Weyl, Singuläre Integralgleichungen mit besonderer Berücksichtigung des Fourierschen Integraltheorems. Diss. Göttingen, 1908. G. H. Hardy, J. E. Littlewood, & G Pólya, Inequalities, Cambridge, 1934, p. 226-259.
  • H. Frazer, Note on Hilbert’s inequality, J. London Math. Soc. 21 (1946), 7–9. MR 18226, DOI
  • E. H. Copsey, H. Frazer, and W. W. Sawyer, Empirical data on Hilbert’s inequality, Nature 161 (1948), 361. MR 23359, DOI
  • R. Courant & D. Hilbert, Methoden der mathem. Physik, second ed., v. 1, Berlin, 1931; U.S.A. photo-lithoprint, 1943. A. C. Aitken, “Studies in practical mathematics. II. The evaluation of the latent roots and latent vectors of a matrix,” R. Soc. Edinb., Proc., v. 57, p. 269-304, 1937.

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Article copyright: © Copyright 1949 American Mathematical Society