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16 lines
820 B
16 lines
820 B
2 years ago
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Exercise 1.46: Several of the numerical methods
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described in this chapter are instances of an extremely general computational
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strategy known as
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iterative improvement. Iterative improvement says
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that, to compute something, we start with an initial guess for the answer, test
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if the guess is good enough, and otherwise improve the guess and continue the
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process using the improved guess as the new guess. Write a procedure
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iterative-improve that takes two procedures as arguments: a method for
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telling whether a guess is good enough and a method for improving a guess.
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Iterative-improve should return as its value a procedure that takes a
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guess as argument and keeps improving the guess until it is good enough.
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Rewrite the sqrt procedure of 1.1.7 and the
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fixed-point procedure of 1.3.3 in terms of
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iterative-improve.
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