The evaluation of determinants by expansion by minors and the general problem of substitution
Authors: W. M. Gentleman and S. C. Johnson
Journal: Math. Comp. 28 (1974), 543-548
MSC: Primary 68A20
MathSciNet review: 0373369
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Abstract: In this paper, we consider a class of substitution strategies which correspond to various minor expansion algorithms, and show that the usual expansion by minors, a row at a time, is optimal in this class.
-  W. Morven Gentleman, Optimal multiplication chains for computing a power of a symbolic polynomial, Math. Comp. 26 (1972), 935–939. MR 314303, https://doi.org/10.1090/S0025-5718-1972-0314303-3
-  Sir Thomas Muir, The Theory of Determinants in the Historical Order of Development, Macmillan, London, 1906-1920.
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Keywords: Substitution, expansion by minors, determinants
Article copyright: © Copyright 1974 American Mathematical Society