Glasnik matematički, Vol. 48 No. 2, 2013.
Original scientific paper
https://doi.org/10.3336/gm.48.2.02
Householder's approximants and continued fraction expansion of quadratic irrationals
Vinko Petričević
; Department of Mathematics, University of Zagreb, 10 000 Zagreb, Croatia
Abstract
There are numerous methods for rational approximation of real numbers. Continued fraction convergent is one of them and Newton's iterative method is another one. Connections between these two approximation methods were discussed by several authors. Householder's methods are generalisation of Newton's method. In this paper, we will show that for these methods analogous connection with continued fractions hold.
Keywords
Continued fractions; Householder's iterative methods
Hrčak ID:
112206
URI
Publication date:
16.12.2013.
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