关于polyeig函​数为什么polyei​g（A,0,B)与p​olyeig（A,B​）输出的结果不一样

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定毅
定毅 2023-3-1
评论： 定毅 2023-4-23
why polyeig（A，0，B) not euqal to polyeig(A,B)

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Abhijeet
Abhijeet 2023-3-9
Hi 定毅,
The command polyeig(A, 0, B) computes the eigenvalues of the matrix polynomial A - lambda*B evaluated at lambda=0. This is equivalent to computing the eigenvalues of the matrix A multiplied by the inverse of B.
The command polyeig(A, B) computes the eigenvalues of the matrix polynomial A - lambda*B.
The reason is that evaluating the matrix polynomial at different values of lambda can lead to very different results.
Thanks
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定毅
定毅 2023-4-23
I'm currently working on vibration, thank you for helping me solve this problem

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