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

delete2012-11-01
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PRE
AI
R
Rafael Álvarez
C
Clara Gallardo
J
José F. Vicent *
A
Antonio Zamora
DOI:10.1016/j.amc.2012.08.042delete
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摘要

摘要

En 中文
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. (C) 2012 Elsevier Inc. All rights reserved.
Keyword:
Block upper triangular matrices
Quick exponentiation algorithms
Matrix algebra

期刊

Applied Mathematics and Computation 封面图
Applied Mathematics and Computation
IF:
3.4
论文数:
2.3W
被引数:
3.3W

机构

U
universitat d'alacant
学者数:
6.9K
论文数: 7.0K
被引数: 12
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