Contractants: A New Method for the Numerical Evaluation of Determinants

Author:

MacMillan R. H.

Abstract

A new method for evaluating determinants or matrices is given; it is rather tedious to describe and awkward to prove, but is very easy to use. The chief advantages this method is believed to possess are:(i)It involves as few arithmetical manipulations as does the most rapid method of pivotal condensation currently used.(ii)It is easier than any other known method to learn and to remember.(iii)It can be adapted to routine computation, in such a way as to minimise the likelihood of error.(iv)A digital computor can readily be programmed to use it.

Publisher

Cambridge University Press (CUP)

Reference1 articles.

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Sylvester’s identity and multistep integer-preserving Gaussian elimination;Mathematics of Computation;1968

2. On the Method of Contractants;The American Mathematical Monthly;1960-11

3. Note on the Method of Contractants;The American Mathematical Monthly;1959-06

4. The determination of eigen-functions of a certain Sturm-Liouville equation and its application to problems of heat-transfer;Applied Scientific Research;1958-07

5. A Note on the Checking of Contractants;The Journal of the Royal Aeronautical Society;1956-10

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