Transcription of Square Roots via Newton’s Method
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Square Roots via newton s methods . G. Johnson, MIT Course 4, 20151 OverviewNumerical methodscan be distinguished from other branches of analysis and computer scienceby three characteristics: They work with arbitraryrealnumbers (and vector spaces/extensions thereof): the desiredresults are not restricted to integers or exact rationals (although in practice we only evercomputerational approximationsof irrational results). Like in computer science (= math + time = math + money), we are concerned not onlywith existence and correctness of the solutions (as in analysis), but with thetime(and othercomputational resources, memory) required to compute the result.
Square Roots via Newton’s Method S. G. Johnson, MIT Course 18.335 February 4, 2015 1 Overview ...
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