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The condition of a certain matrix

  • John Todd (a1)

1. The following sentence occurs in a recent paper ((1), p. 54): we do not understand precisely what it means, but we shall show that the idea behind it can be put on a reasonably quantitative basis: ‘In the vocabulary of solvers of simultaneous equations, the operator (1, −2, 1) tends to lead to ill-conditioning when the number of equations is large.’

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(1)Fox, L.Proc. Cambridge Phil. Soc. 45 (1949), 5068.
(2)Turing, A. M.Quart. J. Mech. Appl. Math. 1 (1948), 287308.
(3)Wittmeyer, H.Z. angew. Math. 16 (1936), 287300, 301–10.
(4)von Neumann, John and Goldstine, H. H.Bull. American Math. Soc. 53 (1947), 1021–99.
(5)Morris, J.Phil. Mag. (7), 37 (1946), 106.
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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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