A quick exponentiation algorithm for 3 x 3 block upper triangular matrices

作者:Alvarez Rafael; Gallardo Clara; Vicent Jose*; Zamora Antonio
来源:Applied Mathematics and Computation, 2012, 219(4): 2004-2016.
DOI:10.1016/j.amc.2012.08.042

摘要

Block upper triangular matrices with elements in Z(p) have very interesting properties for many applications. Some of them involve powers of this type of matrices with very large exponents requiring specific exponentiation algorithms to compute them efficiently. In this paper, we analyze quick exponentiation in block upper triangular matrices of size 3 x 3 blocks as an extension of the quick exponentiation in block upper triangular matrices of 2 x 2 blocks.

  • 出版日期2012-11-1

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