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The Jacobi-Perron algorithm and the algebra of recursive sequences

Published online by Cambridge University Press:  17 April 2009

A.G. Shannon  and
Leon Bernstein
A.G. Shannon
Affiliation:
Department of Applied Mathematics, New South Wales Institute of Technology, Broadway, New South Wales;
Leon Bernstein
Affiliation:
Department of Mathematics, Illinois Institute of Technology, Chicago, Illinois, USA.
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Abstract

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This paper shows the existence of a one-to-one correspondence between a certain class of square matrices of arbitrary order and a related extension field. The elements of these matrices are obtained from certain basic linear recursive sequences by means of a generalization of the euclidean algorithm.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 8 , Issue 2 , April 1973 , pp. 261 - 277
Copyright
Copyright © Australian Mathematical Society 1973

References

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