Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 

 

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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DOI: http://dx.doi.org/10.1090/S0025-5718-1974-0373369-7
Keywords: Substitution, expansion by minors, determinants
Article copyright: © Copyright 1974 American Mathematical Society