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Sparse matrix factorizations of transfer matrices

Published online by Cambridge University Press:  17 February 2009

Murray T. Batchelor
Murray T. Batchelor
Affiliation:
Department of Mathematics, Faculty of Science, Australian National University, Canberra, A.C.T. 2601
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Abstract

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Sparse matrix factorizations of transfer matrices for the interactions round a face model are reviewed. The sparse factors of a more general Ising model containing first, second and third nearest neighbour interactions are also presented. For both models the factorizations are achieved by considering the required auxiliary spin sets as a hierarchy of interacting spins.

Type
Research Article
Information
The ANZIAM Journal , Volume 28 , Issue 4 , April 1987 , pp. 462 - 475
Copyright
Copyright © Australian Mathematical Society 1987

References

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