How to convert a polynomial into a eigenmatrix?

Is there anywhere someone can point me to learn about how polynomials and eigenmatrices are related. I've read that the eigenvalues of a characteristic polynomial eigenmatrix and the roots of the polynomial and I wish to estimate the roots of high degree polynomials using this method however I need to understand what all this eigen stuff is.

Comments

  • Can you explain yourself better? What you said is strange and not really understandable. Maybe it is just me?

    *Every square matrix has eigenvalues, however, such a matrix is called square, not an "eigenmatrix"

    What method do you think exists for estimating roots of polynomials using square matrices?

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