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References
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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.
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.
R. von Mises, “Praktische Methoden zur Gleichungsauflösung,” Zeit. angw. Math. Mech., v. 9, 1929, p. 62-77.
M. Kraitchik, Recherches sur la Theorie de Nombres, v. 1, Paris, 1924, p. 41-46.
- D. H. Lehmer, The Mechanical Combination of Linear Forms, Amer. Math. Monthly 35 (1928), no. 3, 114–121. MR 1521394, DOI 10.2307/2299504
- D. H. Lehmer, The sieve problem for all-purpose computers, Math. Tables Aids Comput. 7 (1953), 6–14. MR 52876, DOI 10.1090/S0025-5718-1953-0052876-7 M. Hall, “Quadratic residues in factorization,” Amer. Math. Soc., Bull., v. 39, 1933, p. 578-763. M. Kraitchik, Recherches sur la Theorie de Nombres, v. 1, Paris, 1924, p. 41-46.
- D. H. Lehmer, The Mechanical Combination of Linear Forms, Amer. Math. Monthly 35 (1928), no. 3, 114–121. MR 1521394, DOI 10.2307/2299504
- D. H. Lehmer, The sieve problem for all-purpose computers, Math. Tables Aids Comput. 7 (1953), 6–14. MR 52876, DOI 10.1090/S0025-5718-1953-0052876-7 M. Hall, “Quadratic residues in factorization,” Amer. Math. Soc., Bull., v. 39, 1933, p. 578-763. 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."
- Wolfgang Wasow, Discrete approximations to elliptic differential equations, Z. Angew. Math. Phys. 6 (1955), 81–97. MR 80369, DOI 10.1007/BF01607295 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.
Additional Information
- © Copyright 1954 American Mathematical Society
- Journal: Math. Comp. 8 (1954), 237-245
- DOI: https://doi.org/10.1090/S0025-5718-54-99319-9