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Inversion of two new circulant matrices over Zm

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Published under licence by IOP Publishing Ltd
, , Citation Yanpeng Zheng et al 2017 IOP Conf. Ser.: Earth Environ. Sci. 81 012200 DOI 10.1088/1755-1315/81/1/012200

1755-1315/81/1/012200

Abstract

In this paper we consider the problem of inverting an n×n RSFMLR circulant matrix with entries over Zm. We present two different algorithms. Our algorithms require different degrees of knowledge of m and n, and their costs range, from n log n loglog n to n log2 n loglog n log m operations over Zm. Moreover, for each algorithm we give the cost in terms of bit operations. Finally, the extended algorithms is used to solve the problem of inverting RSFMLR circulant matrices over Zm.

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10.1088/1755-1315/81/1/012200