Some Comments from a Numerical Analyst

@article{Wilkinson1971SomeCF,
  title={Some Comments from a Numerical Analyst},
  author={J. H. Wilkinson},
  journal={J. ACM},
  year={1971},
  volume={18},
  pages={137-147}
}
A description is given of life with A.M. Turing at the National Physical Laboratory in the early days of the development of electronic computers (1946-1948). The present mood of pessimism among numerical analysts resulting from difficult relationships with computer scientists and mathematicians is discussed. It is suggested that in light of past and present performance this pessimism is unjustified and is the main enemy of progress in immerical mathematics. Some achievements in the fields of… Expand
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References

SHOWING 1-10 OF 10 REFERENCES
Computational Methods of Linear Algebra
The authors' survey paper is devoted to the present state of computational methods in linear algebra. Questions discussed are the means and methods of estimating the quality of numerical solution of… Expand
ROUNDING-OFF ERRORS IN MATRIX PROCESSES
A number of methods of solving sets of linear equations and inverting matrices are discussed. The theory of the rounding-off errors involved is investigated for some of the methods. In all cases… Expand
The bell laboratories numerical mathematics program library project
TLDR
Most computer facilities have “program libraries” that are inadequate, and when several routines are available which purport to do the same job, there is little or no indication as to which one is best, and under what circumstances. Expand
Numerical inverting of matrices of high order
PREFACE 188 CHAPTER VIII. Probabilistic estimates for bounds of matrices 8.1 A result of Bargmann, Montgomery and von Neumann 188 8.2 An estimate for the length of a vector 191 8.3 The fundamental… Expand
Numerical analysis. In The Mathematical Sciences: A Colleelian of Essays
  • 1969
The mathematical sciences : a collection of essays
Handbook for Automatic Computation
Numerical Analysis
Journal of the Association for Computing Machinery
  • Nature
  • 1961
Computational Methods of Linear Algebra, Translated by C. D. Benster
  • 1959