An expression for the Jacobian of the roots of a polynomial

An expression for the Jacobian of the roots of a polynomial

An expression for the Jacobian of the roots of a polynomial is first established and its usefulness in determining the displacements of poles or zeros of a linear system is shown. An example of a digital filter is considered.

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Veröffentlicht in:Proceedings of the IEEE 1980-01, Vol.68 (6), p.737-738
Hauptverfasser: Roytman, L.M., Swamy, M.N.S.
Format: Artikel
Sprache:eng
Schlagworte:
Chebyshev approximation
Differential equations
Digital filters
Gaussian processes
Jacobian matrices
Linear systems
Passband
Poles and zeros
Polynomials
Sampling methods
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Beschreibung
Zusammenfassung:An expression for the Jacobian of the roots of a polynomial is first established and its usefulness in determining the displacements of poles or zeros of a linear system is shown. An example of a digital filter is considered.
ISSN:0018-9219
DOI:10.1109/PROC.1980.11725