Automatic Computing Machinery
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- Math. Comp. 5 (1951), 232-245 Request permission
References
- Hilda Geiringer, On the solution of systems of linear equations by certain iteration methods, J. W. Edwards, Ann Arbor, Michigan, 1948. MR 0029272 This is Seidel’s result. For a recent proof see R. von Mises & Hilda Geiringer, “Praktische Verfahren der Gleichungsauflösung,” Zeitschr. f. angew. Math. u. Mech., v. 9, 1929, p. 58-77, 152-164.
- John von Neumann and H. H. Goldstine, Numerical inverting of matrices of high order, Bull. Amer. Math. Soc. 53 (1947), 1021–1099. MR 24235, DOI 10.1090/S0002-9904-1947-08909-6 P. Stein, “Some general theorems on iterates,” to appear in NBS Jn. of Res. A different proof of this result is given by E. Reich, “On the convergence of the classical methods of solving linear simultaneous equations,” Ann. Math. Stat., v. 20, 1949, p. 448-151.
Additional Information
- © Copyright 1951 American Mathematical Society
- Journal: Math. Comp. 5 (1951), 232-245
- DOI: https://doi.org/10.1090/S0025-5718-51-99416-1