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Representations and Fractional **Up:** Continued Fraction
Factorization **Previous:** Introduction

Motivation and Examples

Here is a Java applet I wrote to compute the continued fraction expansion for the square roots of positive integers: Continued Fraction Applet.

Consider the following examples:

**Ex.1:** ,

**Ex.2:** ,

**Ex.3:** ,

We see in these examples that the factorization is indeed
possible. These factorizations can be accomplished by trial and
error but methods which are discussed in these report make the
factorization easier to accomplish. These methods involve the
correspondence between continued fractions and matrices.

scanez 2000-12-04