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On the Use of Matrices in Certain Population Mathematics

  • P. H. Leslie
Part of the Biomathematics book series (BIOMATHEMATICS, volume 6)

Abstract

Leslie’s work, rather than that of his predecessors Bernardelli and Lewis, is most commonly cited in the widespread literature using matrices, largely for the reason that Leslie worked out the mathematics and the application with great thoroughness. Some of his elaboration was designed to save arithmetic—for example his transformation of the projection matrix into an equivalent form with unity in the subdiagonal positions. Such devices, like a considerable part of classical numerical analysis, are unnecessary in a computer era.

Keywords

Latent Root Life Table Positive Real Root Principal Diagonal Numerical Element 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Bernardelli, H. (1941). Population waves. J. Burma Res. Soc. 31, no. 1, 1–18.Google Scholar
  2. Charles, Enid (1938). The effect of present trends in fertility and mortality upon the future population of Great Britain and upon its age composition. Chap. II in Political Arithmetic, ed. Lancelot Hogben. London: Allen and Unwin.Google Scholar
  3. Frazer, R. A., Duncan, W. J. & Collar, A. R. (1938). Elementary Matrices. Camb. Univ. Press.CrossRefGoogle Scholar
  4. Glass, D. V. (1940). Population Policies and Movements in Europe. Oxford: Clarendon Press.Google Scholar
  5. Turnbull, H. W.& Aitken, A.C.(1932). An Introduction to the Theory of Canonical Matrices. London and Glasgow: Blackie and Son.Google Scholar
  6. Whittaker, E. T.& Robinson, G. (1932). The Calculus of Observations, 2nd ed. London and Glasgow: Blackie and Son.Google Scholar

Copyright information

© Springer-Verlag Berlin · Heidelberg 1977

Authors and Affiliations

  • P. H. Leslie

There are no affiliations available

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