Please help me solve this with Matlab Heron’s Method for Finding Square Roots During this lab course, we have learnt a few numerical analysis methods and you have programmed some of them in the labsheets. We did not cover all the numerical methods that have been developed. There are dozens of different algorithms. For example, we have learnt about the Golden Search algorithm to find a local minima or maxima of a function. In this report you are going to learn on your own a new algorithm called “Heron’s Method” that finds the square root of an integer number. This numerical method is very ancient and has been developed by the first-century Greek mathematician Hero of Alexandria who gave the first explicit description of the method in his AD 60 work Metrica. You are required to write a report that does the following: • (Req. 1) Explain the Heron’s algorithm fully and in details in your own words. • (Req. 2) You must write the correct formulas in either Word Equations format or LateX equations. No equation images or copy/pasted equation text. • (Req.3) You must provide at least one example that you solve numerically on your own to show how the Heron’s algorithm actually works. • (Req. 4) You must write your own MATLAB code that implements the algorithm and apply it on the same example above. Your MATLAB code must be fully commeneted. • (Req. 5) You must use the IEEE conference template found in the link below. You must strictly adhere to the formatting style of IEEE: font size, headers, proper use of figures and tables (if their inclusion is necssary) with correct captioning
Please help me solve this with Matlab
Heron’s Method for Finding Square Roots
During this lab course, we have learnt a few numerical analysis methods and you have programmed some of them in the labsheets. We did not cover all the numerical methods that have been developed. There are dozens of different algorithms. For example, we have learnt about the Golden Search
You are required to write a report that does the following:
• (Req. 1) Explain the Heron’s algorithm fully and in details in your own words.
• (Req. 2) You must write the correct formulas in either Word Equations format or LateX equations. No equation
images or copy/pasted equation text.
• (Req.3) You must provide at least one example that you solve numerically on your own to show how the Heron’s algorithm actually works.
• (Req. 4) You must write your own MATLAB code that implements the algorithm and apply it on the same example
above. Your MATLAB code must be fully commeneted.
• (Req. 5) You must use the IEEE conference template found in the link below. You must strictly adhere to the formatting style of IEEE: font size, headers, proper use of figures and tables (if their inclusion is necssary) with
correct captioning
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