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Mathematics of Computation

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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.

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Keywords: Substitution, expansion by minors, determinants
Article copyright: © Copyright 1974 American Mathematical Society