Abstract
The problem of finding all roots of an exponential or trigonometric equation is reduced to the determination of zeros of algebraic polynomials where the well-known Durand-Kerner algorithm can be applied. This transformation of the problem has the additional advantage that the periodicity of the original functions is eliminated and the choice of starting values is simplified.
Zusammenfassung
Die simultane Nullstellenbestimmung von exponentiellen oder trigonometrischen Gleichungen wird zurückgeführt auf die Nullstellenbestimmung von Polynomen; dazu ist das bekannte Verfahren von Durand-Kerner geeignet. Diese Transformation des Problems hat den zusätzlichen Vorteil, daß die Periodizität der Ausgangsfunktionen verschwindet und dadurch die Wahl von Startwerten vereinfacht wird.
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Weidner, P. The Durand-Kerner method for trigonometric and exponential polynomials. Computing 40, 175–179 (1988). https://doi.org/10.1007/BF02247945
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DOI: https://doi.org/10.1007/BF02247945