converting non-linear function to multiple linear functions

2019 6 5
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更新时间：2019 6 6
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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

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Walter Roberson
Walter Roberson 2019-6-6
Are you looking to create a piecewise linear approximation to a non-linear function ?
Mehrdad
Mehrdad 2019-6-6
Yes, exactly. i didn,t know the right expression for this. thank you about it.
now can you help with this?
Walter Roberson
Walter Roberson 2019-6-6
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/

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回答（1 个）

PIYUSH AGGARWAL
PIYUSH AGGARWAL 2019-6-6

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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 :)

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Walter Roberson
Walter Roberson 2019-6-6
This has an unrelated purpose. The user has a nonlinear function that they want to approximate in sections with straight lines.

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