Question

Problem 6 Implement a MATLAB function bisection.m of the form bisection(a, b, f, p, t) function [r, h] % a Beginning of interval [a, bl % b: End of interval [a, b] % f: function handle y f(x, p) % p: parameters to pass through to f % t: User-provided tolerance for interval width At each step j 1 to n, carefully choose m as in bisection with the geometric (watch out for zeroes!) Replace [a, b] by the smallest interval with endpoints chosen from a, m, b which keeps the root bracketed. Repeat until a f value exactly vanishes, b-a t min(lal, |b), or b and a are adjacent floating point numbers, whichever comes mean first. Return the final approximation to a 3 x n history matrix h [1:3,1:n] with column h [1:3, j] the root r and (a, b, f(m)) recorded at step j. Try to make your implementation as foolproof possible as Problem 6 Implement a MATLAB function bisection.m of the form bisection(a, b, f, p, t) function [r, h] % a Beginning of interval [a, bl % b: End of interval [a, b] % f: function handle y f(x, p) % p: parameters to pass through to f % t: User-provided tolerance for interval width At each step j 1 to n, carefully choose m as in bisection with the geometric (watch out for zeroes!) Replace [a, b] by the smallest interval with endpoints chosen from a, m, b which keeps the root bracketed. Repeat until a f value exactly vanishes, b-a t min(lal, |b), or b and a are adjacent floating point numbers, whichever comes mean first. Return the final approximation to a 3 x n history matrix h [1:3,1:n] with column h [1:3, j] the root r and (a, b, f(m)) recorded at step j. Try to make your implementation as foolproof possible as

Answer 1

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