Contractivity of linear fractional transformations

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Contractivity of linear fractional transformations

One possible approach to exact real arithmetic is to use linear fractional transformations (LFT's) to represent real numbers and computations on real numbers. Recursive expressions built from LFT's are only convergent (i.e., denote a well-deened real number) if the involved LFT's are suuciently contractive. In this paper, we deene a notion of contrac-tivity for LFT's. It is used for convergence...

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ژورنال

عنوان ژورنال: Theoretical Computer Science

سال: 2002

ISSN: 0304-3975

DOI: 10.1016/s0304-3975(00)00427-8