converting non-linear function to multiple linear functions

Hello

I need to convert a non-linear function to multiple linear functions with "ax+b" format so then i can use one of them according to the amount of x and calculate the output of original function with an acceptable approximation. is there any things that do this with optimum number of equations automatically? i tried curve fitting app but i couldn't find such a thing.

thanks

[Walter Roberson]

Are you looking to create a piecewise linear approximation to a non-linear function ?

[Mehrdad]

Yes, exactly. i didn,t know the right expression for this. thank you about it.

now can you help with this?

[Walter Roberson]

https://www.mathworks.com/matlabcentral/answers/340002-piecewise-polynomial-fitting-for-data

https://www.mathworks.com/help/curvefit/smoothing-splines.html

https://blogs.mathworks.com/loren/2008/08/25/piecewise-linear-interpolation/

[Mehrdad]

Thank you so much.

Answer 1

[PIYUSH AGGARWAL]

Hi,

Try the examples for factorizing polynomial using factor method on documentation page

https://in.mathworks.com/help/symbolic/factor.html?searchHighlight=linear%20factors%20of%20a%20polynomial&s_tid=doc_srchtitle

Hope this works for you :)

[Walter Roberson]

This has an unrelated purpose. The user has a nonlinear function that they want to approximate in sections with straight lines.