Some Comments from a Numerical Analyst

  title={Some Comments from a Numerical Analyst},
  author={J. H. Wilkinson},
  journal={J. ACM},
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
The Legacy of Turing in Numerical Analysis
It is argued that the contribution of Turing to "the other side of computer science", namely the domain of numerical computations as pioneered by Newton, Gauss, &c, and carried out today in the name of numerical analysis, is of an equally foundational nature. Expand
Computer Science and its Relation to Mathematics
  • D. Knuth
  • Computer Science, Mathematics
  • 1974
A personal view of how this subject interacts with Mathematics is given, by discussing the similarities and differences between the two fields, and by examining some of the ways in which they help each other. Expand
Alan Turing y los orígenes de la eliminación gaussiana moderna
The solution of a system of linear equations is by far the most important problem in Applied Mathematics. It is important both in itself and because it is an intermediate step in many other importantExpand
John von Neumann's Analysis of Gaussian Elimination and the Origins of Modern Numerical Analysis
  • J. Grcar
  • Mathematics, Computer Science
  • SIAM Rev.
  • 2011
Just when modern computers were being invented, John von Neumann and Herman Goldstine wrote a paper to illustrate the mathematical analyses that they believed would be needed to use the new machines effectively and to guide the development of still faster computers. Expand
Computer Science And Statistics
This paper develops a theme about a specific, small part of the interface between computer science and statistics - that of kernels of computation - that is, the role of statisticians and numerical mathematicians in this field. Expand
Numerical mathematics and computer science
Four of the components of numerical mathematics are discussed: foundations (finite precision number systems, computational compexity), synthesis and analysis of algorithms, analysis of error, programs and program libraries. Expand
Recent Advances in the Computation of the Homology of Semialgebraic Sets
This article describes recent advances in the computation of the homology groups of semialgebraic sets and throws light on the main features of this technical picture, the complexity results obtained, and how the new algorithms fit into the landscape of existing results. Expand
Software for roundoff analysis, II
The package presented differs from Its predecessor in four important respects: a mmicompfler allows easy specicatmn of the algorithm being tested, the package can test the simultaneous effect of rounding error upon several values, and it deals with branching in numerical methods. Expand
A Personal Perspective on Numerical Analysis and Optimization
A brief, non-technical, historical perspective on numerical analysis and optimization and how the area has developed over the past few decades and how it may continue is given. Expand
The centralization of scientific computation in Britain, 1925-1955
This thesis looks at the adoption of mechanized computing methods by scientists and traces the centralization of computing effort which subsequently took place in Britain over the period 1925-1955. Expand


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 ofExpand
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 casesExpand
The bell laboratories numerical mathematics program library project
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 fundamentalExpand
Numerical analysis. In The Mathematical Sciences: A Colleelian of Essays
  • 1969
Computational Methods of Linear Algebra, Translated by C. D. Benster
  • 1959