Fractal-like matrices

被引：0
|
作者：
Romanovski, IV [1 ]
Pilipchuk, LA [1 ]
机构：
[1] Belarusian State Univ, Minsk 220050, BELARUS
来源：
COMPUTING | 2006年 / 76卷 / 3-4期
关键词：
matrix multiplication and inversion; sparse matrices; matrix rings; sierpinski triangle;
D O I：
10.1007/s00607-005-0138-y
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We introduce special sparse n x n- matrices (n = 2(k)) containing up to 3(k) approximate to n(1.585) nonzero elements. Their structure is inherited from the famous Sierpinski triangle and is not sensitive to matrix multiplication and inversion. The arithmetical complexity of taking product or inverse of such matrices is proved to be O(n(2)).
引用
收藏
页码：353 / 357
页数：5
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