Approach to Square Roots Applying Square Matrices.

Autor: Méndez-Delgadillo, H., Lam-Estrada, P., Maldonado-RamÍrez, M. R.
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Zdroj: Palestine Journal of Mathematics; 2015, Vol. 4 Issue 2, p271-276, 6p
Abstrakt: Let m be a square free positive integer. If a+b√m is a unit of the integral domain Z[√m] and A is the 2 × 2 matrix corresponding to a + b√m, then we obtain two sequences of rational numbers {an}n∈N and {bn}n∈N such that limn→∞ an/bn =√m, where an and bn are the entries of the first column of An. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index