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

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

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]**H. Hotelling, ``Some new methods in matrix calculation,''*Annals Math. Stat.*, v. 14, 1943, p. 1-34. MR**0007851 (4:202g)****[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]**J. Chancellor, J. W. Sheldon, & G. L. Tatum, ``The solution of simultaneous linear equations using the IBM Card-Programmed Electronic Calculator,'' IBM Industrial Computation Seminar, September 1950,*Proc.*, p. 57-61. MR**0045457 (13:587d)****[7]**W. D. Bell, `` Punched card techniques for the solution of simultaneous equations and other matrix operations,'' IBM Scientific Computation Forum, 1948,*Proc.*, p. 28-31. MR**0044215 (13:387l)****[8]**J. von Neumann & H. H. Goldstine, ``Numerical inverting of matrices of high order,'' Amer. Math. Soc.,*Bull.*, v. 53, 1947, p. 1021-1099. MR**0024235 (9:471b)****[9]**A. Opler, ``Monte Carlo matrix calculation with punched card machines,''*MTAC*, v. 5, 1951, p. 115-120. MR**0043557 (13:284c)****[10]**J. Sherman, ``Computations of inverse matrices by means of IBM machines,'' IBM*Technical Newsletter*, no. 3, 1951, p. 22-25.**[11]**J. Lowe, ``Solution of simultaneous linear algebraic equations using the IBM type 604 Electronic Calculating Punch,'' IBM Computation Seminar, Dec. 1949,*Proc.*, p. 54-56. MR**0044216 (13:388a)****[12]**F. M. Verzuh, ``The solution of simultaneous linear equations with the aid of the 602 Calculating Punch,''*MTAC*, v. 3, p. 453-462. MR**0030816 (11:57e)**

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

Article copyright:
© Copyright 1953
American Mathematical Society