APPROXIMATION OF REAL MATRICES BY INTEGRAL MATRICES

被引：5

作者：

HARMAN, G ^{[1
]}

机构：

[1] UNIV COLL CARDIFF,COLL CARDIFF,SCH MATH,INST MATH,CARDIFF CF2 4AG,WALES

来源：

JOURNAL OF NUMBER THEORY | 1990年 / 34卷 / 01期

关键词：

D O I：

10.1016/0022-314X(90)90053-T

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that, given a k × k real matrix (αij) with determinant one, and a positive integer n, there exist integral matrices (Aij) with det Aij = n, such that |n 1 kαij - Aij| < Cn 3 4k for all i and j. It is also demonstrated that the exponent 3 4k cannot be replaced by a number smaller than 1 2k. © 1990.

引用

页码：63 / 81

页数：19

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