2 citations
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math.NA2015
A general semilocal convergence theorem for simultaneous methods for polynomial zeros and its applications to Ehrlich's and Dochev-Byrnev's methods
Petko D. Proinov
In this paper, we establish a general semilocal convergence theorem (with computationally verifiable initial conditions and error estimates) for iterative methods for simultaneous…
math.NA2015★ 1 cited
On a family of Weierstrass-type root-finding methods with accelerated convergence
Petko D. Proinov, Maria T. Vasileva
Kyurkchiev and Andreev (1985) constructed an infinite sequence of Weierstrass-type iterative methods for approximating all zeros of a polynomial simultaneously. The first member of…
math.NA2015★ 2 cited
General convergence theorems for iterative processes and applications to the Weierstrass root-finding method
Petko D. Proinov
In this paper, we prove some general convergence theorems for the Picard iteration in cone metric spaces over a solid vector space. As an application, we provide a detailed converg…