John D. Cook • 2/7/2026

Eigenvalue homework problems are backward

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The article contrasts the academic approach to finding eigenvalues—by computing polynomial roots from a matrix—with real-world numerical methods like the QR algorithm. It highlights that in practice, eigenvalue solvers are used to find polynomial roots via companion matrices, reversing the typical classroom procedure.

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#Numerical Linear Algebra #Eigenvalues #Polynomial Roots
Eigenvalue homework problems are backward

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