A solution of simultaneous linear equations and matrix inversion with high speed computing devices

Authors:
Gabriel G. Bejarano and Bruce R. Rosenblatt

Journal:
Math. Comp. **7** (1953), 77-81

MSC:
Primary 65.0X

MathSciNet review:
0054341

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References | Similar Articles | Additional Information

**[1]**A. C. Aitken,*Determinants and Matrices*. Edinburgh, 5th ed., 1948.**[2]**P. S. Dwyer,*Linear Computations*. New York, 1951.**[3]**Harold Hotelling,*Some new methods in matrix calculation*, Ann. Math. Statistics**14**(1943), 1–34. MR**0007851****[4]**P. D. Crout, ``A short method for evaluating determinants and solving systems of linear equations with real or complex coefficients,'' AIEE,*Trans.*, v. 60, 1941, p. 1235-1241.**[5]**G. W. Petrie III, ``Matrix inversion and solution of simultaneous linear algebraic equations with the IBM type 604 Electronic Calculating Punch,'' IBM Computation Seminar, August 1951,*Proc.*, p. 105-111.**[6]**Justus Chancellor, John W. Sheldon, and G. Liston Tatum,*The solution of simultaneous linear equations using the IBM Card-Programmed Electronic Calculator*, Proceedings, Industrial Computation Seminar, September 1950, International Business Machines Corp., New York, N. Y., 1951, pp. 57–61. MR**0045457****[7]**William D. Bell,*Punched card techniques for the solution of simultaneous equations and other matrix operations*, Proceedings, Scientific Computation Forum, 1948, International Business Machines Corp., New York, N. Y., 1950, pp. 28–31. MR**0044215****[8]**John von Neumann and H. H. Goldstine,*Numerical inverting of matrices of high order*, Bull. Amer. Math. Soc.**53**(1947), 1021–1099. MR**0024235**, 10.1090/S0002-9904-1947-08909-6**[9]**Ascher Opler,*Monte Carlo matrix calculation with punched card machines*, Math. Tables and Other Aids to Computation**5**(1951), 115–120. MR**0043557**, 10.1090/S0025-5718-1951-0043557-2**[10]**J. Sherman, ``Computations of inverse matrices by means of IBM machines,'' IBM*Technical Newsletter*, no. 3, 1951, p. 22-25.**[11]**John Lowe,*Solution of simultaneous linear algebraic equations using the IBM Type 604 Electronic Calculating Punch*, Proceedings, Computation Seminar, December 1949, International Business Machines Corp., New York, N. Y., 1951, pp. 54–56. MR**0044216****[12]**Frank M. Verzuh,*The solution of simultaneous linear equations with the aid of the 602 calculating punch*, Math. Tables and Other Aids to Computation**3**(1949), 453–462. MR**0030816**, 10.1090/S0025-5718-1949-0030816-3

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DOI:
https://doi.org/10.1090/S0025-5718-1953-0054341-X

Article copyright:
© Copyright 1953
American Mathematical Society