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20232026
most citedOn dynamics of the Chebyshev's method for quartic polynomials

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math.DS2026

Relaxed Newton's Method as a Family of Root-finding Methods: Dynamics and Convergence

Soumen Pal

Relaxed Newton's method is a one-parameter family of root-finding methods that generalizes the classical Newton's method. When viewed as a rational map on the Riemann sphere, this…