Shift operator matrix-size reduction through symmetry considerations

J. Li and R.B. McQuistan

Physica A: Statistical Mechanics and its Applications, 1991, vol. 179, issue 3, 560-572

Abstract: 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.

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:179:y:1991:i:3:p:560-572

DOI: 10.1016/0378-4371(91)90094-S

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