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Mathematics of Computation

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Journal: Math. Comp. 8 (1954), 237-245
DOI: https://doi.org/10.1090/S0025-5718-54-99319-9
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References [Enhancements On Off] (What's this?)

  • [1] A. C. Aitken, ``The evaluation of the latent roots and latent vectors of a matrix,'' Roy. Soc. Edinburgh, Proc., v. 57, 1936-1937, p. 269-304.
  • [2] E. Bodewig, ``Bericht über die Methoden zur numerischen Lösung algebraischer Eigenwertprobleme,'' Seminario matematico e fisico dell' Universita di Modena, Atti, v. 4, 1949-1950, v. 5, 1950-1951.
  • [3] R. von Mises, ``Praktische Methoden zur Gleichungsauflösung,'' Zeit. angw. Math. Mech., v. 9, 1929, p. 62-77.
  • [1] M. Kraitchik, Recherches sur la Theorie de Nombres, v. 1, Paris, 1924, p. 41-46.
  • [2] D. H. Lehmer, ``The mechanical combination of linear forms,'' Amer. Math. Monthly, v. 35, 1928, p. 114-121. MR 1521394
  • [3] D. H. Lehmer, ``The sieve problem for all-purpose computers,'' MTAC, v. 7, 1953, p. 6-14. MR 0052876 (14:691e)
  • [4] M. Hall, ``Quadratic residues in factorization,'' Amer. Math. Soc., Bull., v. 39, 1933, p. 578-763.
  • [1] M. Kraitchik, Recherches sur la Theorie de Nombres, v. 1, Paris, 1924, p. 41-46.
  • [2] D. H. Lehmer, ``The mechanical combination of linear forms,'' Amer. Math. Monthly, v. 35, 1928, p. 114-121. MR 1521394
  • [3] D. H. Lehmer, ``The sieve problem for all-purpose computers,'' MTAC, v. 7, 1953, p. 6-14. MR 0052876 (14:691e)
  • [4] M. Hall, ``Quadratic residues in factorization,'' Amer. Math. Soc., Bull., v. 39, 1933, p. 578-763.
  • [1] L. F. Richardson, Weather Prediction by Numerical Processes. Cambridge, England, 1923. For the following comment on this, I am indebted to G. E. Forsythe, ``It is a monumental attempt to forecast for six hours, from almost no initial condition, and (I understand) a poor balance of $ \Delta t$ and $ \Delta x,\Delta y,\Delta z$. It is superbly written and the author has (in my opinion) the most elegant English style of any mathematical writer of the century. [See p. 219 of this book, or the first page or two of C.] The Preface speaks for itself of the troubles encountered by the author."
  • [2] Cf. W. Wasow, ``Discrete approximations to elliptic differential equations.'' Zeit. f. ang. Math. u. Phys., v. 5, 1954. MR 0080369 (18:236e)
  • [3] D. M. Young, ``On Richardson's method for solving linear equations with positive definite matrices.'' Jn. Math. and Physics, v. 32, 1953, p. 243-255. Experiments on the solution of the Laplace equation by this method, on ORDVAC, have been carried out by D. M. Young, and C. H. Warlick.


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DOI: https://doi.org/10.1090/S0025-5718-54-99319-9
Article copyright: © Copyright 1954 American Mathematical Society

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