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Rational approximation of the maximal commutative subgroups of GL(n,R)
[article]
2009
arXiv
pre-print
How to find "best rational approximations" of maximal commutative subgroups of GL(n,R)? In this paper we pose and make first steps in the study of this problem. It contains both classical problems of Diophantine and simultaneous approximations as a particular subcases but in general is much wider. We prove estimates for n=2 for both totaly real and complex cases and write the algorithm to construct best approximations of a fixed size. In addition we introduce a relation between best
arXiv:0910.3482v1
fatcat:ifayknu3brevnhsod6igecpmrm