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There are numerous methods for rational approximation of real numbers. Continued fraction convergent is one of them and Newton\u27s iterative method is another one. Connections between these two approximation methods were discussed by several authors. Householder\u27s methods are generalisation of Newton\u27s method. In this paper, we will show that for these methods analogous connection with continued fractions hold

Householder's approximants and continued fraction expansion of quadratic irrationals