Abstract
The numerical evaluation of determinants with a modern computing machine is discussed. Various methods are presented and their relations to each other are indicated. The methods presented parallel those developed in the previous paper on “The Solution of Simultaneous Equations.” Especially emphasized are the Abbreviated Doolittle and the Compact methods. Additional topics include the evaluation of partially symmetric determinants by means of symmetric methods and the evaluation of determinantal ratios.
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References
Huntington, E. V. Handbook of mathematical statistics, Ch. IV. New York: Houghton Mufflin, 1924.
Rider, R. R. An introduction to modern statistical methods. New York: John Wiley, 1939.
Dunlap, J. W. Workbook in statistical method. New York: Prentice-Hall, 1939.
Dwyer, P. S. The solution of simultaneous equations.Psychometrika, 1941,6, 101–129.
Whittaker, E. T. and Robinson, G. The calculus of observations, pp. 71–75. London: Blackie and Sons, 1924.
Horst, Paul. A short method for solving for a coefficient of multiple correlation.Annals math. Stat., 1932,3, 40–44.
Reiersøl, O. A method for recurrent computation of all the principal minors of a determinant and its application in confluence analysis.Annals math. Stat., 1940,11, 193–198.
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Dwyer, P.S. The evaluation of determinants. Psychometrika 6, 191–204 (1941). https://doi.org/10.1007/BF02289272
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DOI: https://doi.org/10.1007/BF02289272