All zeros for Bessel function

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Zeynep Toprak 2020-2-28

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https://ww2.mathworks.cn/matlabcentral/answers/508180-all-zeros-for-bessel-function

评论： Zeynep Toprak 2020-3-1

I dont want to find all zeros of this function by using 'bessel function' besselj(nu, Z) in matlab toolbox. I would like to create a matlab function to calculate all roots. I create a function on newton iteration method, but it calculated just one root. thanks for your helps in advance.

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Walter Roberson 2020-2-29

https://en.m.wikipedia.org/wiki/Root-finding_algorithm

There are also techniques that involve splitting up the interval into a number of subintervals and running a Newton type algorithm on the entire vector of starting points, and then at the end taking the unique values (taking into account round-off error). This approach only really works if you have information about the minium separation of the zeros.

Zeynep Toprak 2020-3-1