Notes

Journal:
Math. Comp. **8** (1954), 237-245

DOI:
https://doi.org/10.1090/S0025-5718-54-99319-9

Full-text PDF

References | Additional Information

**[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**35**(1928), no. 3, 114–121. MR**1521394**, https://doi.org/10.2307/2299504**[3]**D. H. Lehmer,*The sieve problem for all-purpose computers*, Math. Tables and Other Aids to Computation**7**(1953), 6–14. MR**0052876**, https://doi.org/10.1090/S0025-5718-1953-0052876-7**[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**35**(1928), no. 3, 114–121. MR**1521394**, https://doi.org/10.2307/2299504**[3]**D. H. Lehmer,*The sieve problem for all-purpose computers*, Math. Tables and Other Aids to Computation**7**(1953), 6–14. MR**0052876**, https://doi.org/10.1090/S0025-5718-1953-0052876-7**[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 and . 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]**Wolfgang Wasow,*Discrete approximations to elliptic differential equations*, Z. Angew. Math. Phys.**6**(1955), 81–97. MR**0080369**, https://doi.org/10.1007/BF01607295**[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.

Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-54-99319-9

Article copyright:
© Copyright 1954
American Mathematical Society