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Hurwitz matrix
Algebraic matrix element to analyze a polynomial by its coefficients
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In mathematics, two related but distinct classes of matrices are referred to as Hurwitz matrices:

  • A Hurwitz-stable matrix is a matrix whose eigenvalues all have negative real part.
  • The Routh–Hurwitz matrix associated to a polynomial is a particular matrix whose non-zero entries are all coefficients of the polynomial.