Accettella, Carlo J. and Del Corso, Gianna M. and Manzini, Giovanni (2001) Inversion of two level circulant matrices over Z_p. Technical Report del Dipartimento di Informatica . Università di Pisa, Pisa, IT.
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Abstract
We consider the problem of inverting block circulant with circulant blocks BCCB matrices with entries over the field Z_p. This problem arises in the study of of two-dimensional linear cellular automata. Since the standard reduction to diagonal form by means of FFT has some drawbacks when working over Z_p, we solve this problem by transforming it into the equivalent problem of inverting a circulant matrix with entries over a suitable ring R. We show that a BCCB matrix of size mn can be inverted in O(m n c(m,n)) operations in Z_p, where c is a low degree polynomial in log m and log n.
Item Type: | Book |
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Uncontrolled Keywords: | Multilevel Circulant matrices, inversion over rings, Laurent series |
Subjects: | Area01 - Scienze matematiche e informatiche > INF/01 - Informatica |
Divisions: | Dipartimenti (until 2012) > DIPARTIMENTO DI INFORMATICA |
Depositing User: | dott.ssa Sandra Faita |
Date Deposited: | 22 Dec 2014 14:24 |
Last Modified: | 22 Dec 2014 14:24 |
URI: | http://eprints.adm.unipi.it/id/eprint/2062 |
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