Implement themodified zeroinalgorithm inA modified Brents method for finding zeros ...

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Implement  themodified  zeroinalgorithm  inA  modified  Brents  method  for  finding  zeros  offunctions, by G. Wilkins and M. Gu, inNumerische Mathematik, vol.  123, 2013.You  should  turn  in  a  .m  filemodifiedbrentxxx.mwhich  contains  a  matlab  function  of  theformfunction[root,info] = modifiedbrentxxx(@func,Int,params)where  xxx  is  your  student  id.   On  input,funcis  a  function  handle,Intis  the  initial  intervalcontaining a root, andparamsis an object that contains at least three fieldsparams.roottol,params.functolandparams.maxit.  Your algorithm should terminate once the interval contain-ing the root is at mostparams.roottolin length, or the function value at the current iterateis at mostparams.functolin absolute value.  On output,rootis the computed root, andinfoshould have at least one fieldinfo.flag, which is 0 for a successful execution, and 1 otherwise.Your programcan notuse the matlab built-in functionfzero.  It will be tested against a fewfunctions of our choice, against the following criteria: XXXXXXXXXXpoints) A zero is found within given tolerances for each function tested XXXXXXXXXXpoints) All zeroes are found within the right number of function calls.Your program will receive 0 points if the stringfzero, case in-sensitive, shows up anywhere inyour .m file.Submit your .m file to your GSI by 1:00AM, Nov.  7, 2019.

Kshitij · Accepted Answer

modifiedbrentxxx-bvgk2pcu.m
function [root info] = modifiedbrentxxx(func, int, params)
info=0;
N = params.maxit;
tol=params.root_tol;
x = zeros(1, N+1); % Pre-allocate
x1=int.x1;
x2=int.x2;
for n = 2:N,
if x1 == x2
root = 'f';
return
end
x(1) = x1; x(2) = x2;

Implement themodified zeroinalgorithm inA modified Brents method for finding zeros offunctions, by G. Wilkins and M. Gu, inNumerische Mathematik, vol. 123, 2013.You should turn in a .m...

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