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Author

Stoil I. Ivanov

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Open access Oct 2026

Convergence of a Family of Accelerated Schröder-like Methods for the Simultaneous Extraction of Simple and Multiple Polynomial Zeros

In the present paper, we investigate the local and the semilocal convergence of a recently constructed family of accelerated simultaneous methods with two corrections applied to polynomials with simple and multiple zeros. A new local convergence theorem that provides explicit domains of initial conditions and error est...

I. Ginchev, Stoil I. Ivanov, B. Zlatanov · 0 citations
Conference Open access Sep 2026

Convergence of Super-Halley method for simultaneous approximation of polynomial zeros

Recently, Ivanov (Mathematics. 8: 1599, 2020) has proven two local convergence results with error estimates about the well-known Super-Halley method for individual approximation of multiple polynomial roots. In this talk, we study the Super-Halley method as a method in n-dimensional vector space, that is, as a method f...

Plamena I. Marcheva, Stoil I. Ivanov · 1 citation

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