Question: Pls. avoid any fancy MATLAB built in functions, provide plots if necessary. Detailed solution pls. Thank you! 7. Code in MATLAB Halley's Method and Aitken

Pls. avoid any fancy MATLAB built in functions, provide plots if

Pls. avoid any fancy MATLAB built in functions, provide plots if necessary.

Detailed solution pls.

Thank you!

7. Code in MATLAB Halley's Method and Aitken Acceleration (a) Use Steffensen's Method as shown in class (the combination of fixed-point iteration and the Aitken's delta square method) to accelerate the resolution of problem 4 Compare the number of iterations necessary for the new algorithm with respect to the fixed-point algorithm. (b) Use Halley's method and Newton's method for solving problem 5 and iterate until the error |XX. is lower than 1 x 10-5. Compare the number of iterations in both cases, provide the Xn+1 value and provide the order of convergence of Haley's method. 7. Code in MATLAB Halley's Method and Aitken Acceleration (a) Use Steffensen's Method as shown in class (the combination of fixed-point iteration and the Aitken's delta square method) to accelerate the resolution of problem 4 Compare the number of iterations necessary for the new algorithm with respect to the fixed-point algorithm. (b) Use Halley's method and Newton's method for solving problem 5 and iterate until the error |XX. is lower than 1 x 10-5. Compare the number of iterations in both cases, provide the Xn+1 value and provide the order of convergence of Haley's method

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