which algorithm does vpasolve use

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Jordan Budhu 2016-8-2

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回答： Walter Roberson 2016-8-2

Hello, I am using vpasolve to solve a system of non-linear equations rather than fsolve iterative techniques as it seems vpasolve is faster. However, there is no documentation on the exact algorithm being used in vpasolve. does anyone know what approach vpasolve it taking in solving a system of non-linear equations? Thanks.

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Answer 1

Walter Roberson 2016-8-2

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https://ww2.mathworks.cn/matlabcentral/answers/298048-which-algorithm-does-vpasolve-use#answer_230509

vpasolve() uses the MuPAD symbolic Engine's numeric:;solve routine. Depending on the form of the nonlinearity, numeric::polysysroots might be invoked, but more likely numeric::fsolve will be invoked. For that,

"numeric::fsolve implements a purely numerical Newton type root search with a working precision set by the environment variable DIGITS"