Author

B. Zlatanov

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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 · Axioms · 0 citations

Open access Sep 2026

Equilibrium in a Failed Cartel: Set-Valued Reactions and Sources of Market Asymmetry

We study a three-firm market following the breakdown of an initially complete cartel, taking both the breakdown and the identity of the departing firm as exogenously given. In the baseline model, the former cartel members no longer coordinate: all three firms choose quantities simultaneously and non-cooperatively. Thus...

Anton Badev, Vanya Ivanova, Diana Nedelcheva et al. · Foundations · 0 citations

Jul 2026

Ultrametric Convergence of Guarded Automata and Applications to Structural Input Validation

This work equips language-equivalence classes of deterministic finite automata with a distinguishing-word ultrametric and identifies the resulting space isometrically with the regular languages, and outlines a practical WAF pipeline combining learned grammar models, finite-state construction, and \(O(1)\)-memory runtim...

A. Ilchev, Hristo Kiskinov, G. Pashev et al. · arXiv.org · 1 citation