Polynomial root finding

Markus Lang, Bernhard-Christian Frenzel · IEEE Signal Processing Letters · 1994

Finding polynomial roots rapidly and accurately is an important problem in many areas of signal processing. We present a program that is superior in speed and accuracy to the best methods to our knowledge, i.e., Jenkins/Traub (1975) program and the eigenvalue method. Based on this, we give a simple approach to improve the accuracy for spectral factorization in the case that there are double roots on the unit circle.>

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