Shift operator matrix-size reduction through symmetry considerations

A method, based on symmetry considerations, is presented by which the size of the shift operator matrix appropriate to an M x ∞ lattice with periodic boundary conditions (in the M-direction) can be reduced by a factor of M-1. Since the computation time required to obtain the eigenvalues of these matrices is O[(lattice size)3], the reduction decreases the time necessary for such calculations by approximately M-3.

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Year of publication:	1991
Authors:	Li, J. ; McQuistan, R.B.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 179.1991, 3, p. 560-572
Publisher:	Elsevier

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011060637