Question: I'm asked to write a matlab code to get the single fixed point approximation of a function in Numerical Methods Course .Can you help me

I'm asked to write a matlab code to get the single fixedI'm asked to write a matlab code to get the single fixed point approximation of a function in Numerical Methods Course .Can you help me ?

Write a computer program to find a solution for the system of equations defined by a vector function f(x around an initial root estimate vector . User of your program will define the system of equations and the initial guess. The user will also specify the number of required significant digits (to set the prespecified error, es) as input. You may use fixed point iteration method to solve the system but if you can implement Newton's method you will receive a bonus grade. Remember that Newton's method will require the calculation of the Jacobian matrix at each iteration. Note that you will not know the number of unknowns to solve at the time of coding Your code should do the following Ask the user a properly constructed vector matrix f() or g(z) to be solved The user will provide an appropriate initial guess vector and required number of significant digits The user may provide the necessary input not as keyboard input but as arguments to your code Perform approximate percent relative error calculations for each iteration, Store the computation results in proper arrays or matrices, . Terminate the iterations when the desired numerical ision or the maximum number of iterations is reached Present the results by displaying the following on the screen: o Final root estimate o Number of iterations Plot the largest absolute approximate percent relative error as a function of iteration # Present your results in a short report (maximum of 3 pages excluding appendix, saved as a pdf document) which should include the following An introduction paragraph, Hand calculations showing the root finding technique used (typed in Word) Input and outputs (including plots) for an example f(z) Discussion of the results and conclusion, Appendix section including your . code Write a computer program to find a solution for the system of equations defined by a vector function f(x around an initial root estimate vector . User of your program will define the system of equations and the initial guess. The user will also specify the number of required significant digits (to set the prespecified error, es) as input. You may use fixed point iteration method to solve the system but if you can implement Newton's method you will receive a bonus grade. Remember that Newton's method will require the calculation of the Jacobian matrix at each iteration. Note that you will not know the number of unknowns to solve at the time of coding Your code should do the following Ask the user a properly constructed vector matrix f() or g(z) to be solved The user will provide an appropriate initial guess vector and required number of significant digits The user may provide the necessary input not as keyboard input but as arguments to your code Perform approximate percent relative error calculations for each iteration, Store the computation results in proper arrays or matrices, . Terminate the iterations when the desired numerical ision or the maximum number of iterations is reached Present the results by displaying the following on the screen: o Final root estimate o Number of iterations Plot the largest absolute approximate percent relative error as a function of iteration # Present your results in a short report (maximum of 3 pages excluding appendix, saved as a pdf document) which should include the following An introduction paragraph, Hand calculations showing the root finding technique used (typed in Word) Input and outputs (including plots) for an example f(z) Discussion of the results and conclusion, Appendix section including your . code

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