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newton-sqrt.pdf

math.mit.edu · 1,144 words · saved by 1 readers

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Square Roots via Newton’s Method S. G. Johnson, MIT Course 18.335 February 4, 2015 1 Overview Numerical methods can be distinguished from other branches of analysis and computer science by three characteristics: • They work with arbitrary real numbers (and vector spaces/extensions thereof): the desired results are not restricted to integers or exact rationals (although in practice we only ever compute rational approximations of irrational results). • Like in computer science (= math + time…

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