Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4626560 | Applied Mathematics and Computation | 2015 | 18 Pages |
Abstract
The present work shows that Harris’ exponential-mean-log averaging rule over the space of optical transference matrices may be regarded as an instance of the Kolmogoroff–Nagumo averaging rule over the affine symplectic group. As such, Harris’ averaging rule may be generalized to a φ-mean-φ−1φ−1 rule that can be implemented by different φ maps. The present work also shows that the involved maps may be computed in closed form by low-degree polynomial expressions.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Simone Fiori,