Petko D. Proinov

17 papers Journal 17
YearRankTypeTitle / Venue / Authors
2025 J jnl
Fully computable convergence analysis of a fourth order iterative method for finding polynomial roots.
J. Appl. Math. Comput.
Petko D. Proinov, Slav I. Cholakov, Maria T. Vasileva
2024 J jnl
A new family of Sakurai-Torii-Sugiura type iterative methods with high order of convergence.
J. Comput. Appl. Math.
Petko D. Proinov, Stoil I. Ivanov
2021 J jnl
Two Classes of Iteration Functions and Q-Convergence of Two Iterative Methods for Polynomial Zeros.
Symmetry
Petko D. Proinov
2020 J jnl
Local and Semilocal Convergence of Nourein's Iterative Method for Finding All Zeros of a Polynomial Simultaneously.
Symmetry
Petko D. Proinov, Maria T. Vasileva
2019 J jnl
Convergence analysis of Sakurai-Torii-Sugiura iterative method for simultaneous approximation of polynomial zeros.
J. Comput. Appl. Math.
Petko D. Proinov, Stoil I. Ivanov
2019 J jnl
On the convergence of Gander's type family of iterative methods for simultaneous approximation of polynomial zeros.
Appl. Math. Comput.
Petko D. Proinov, Stoil I. Ivanov, Miodrag S. Petkovic
2019 J jnl
On the convergence of high-order Gargantini-Farmer-Loizou type iterative methods for simultaneous approximation of polynomial zeros.
Appl. Math. Comput.
Petko D. Proinov, Maria T. Vasileva
2016 J jnl
A general semilocal convergence theorem for simultaneous methods for polynomial zeros and its applications to Ehrlich's and Dochev-Byrnev's methods.
Appl. Math. Comput.
Petko D. Proinov
2016 J jnl
General convergence theorems for iterative processes and applications to the Weierstrass root-finding method.
J. Complex.
Petko D. Proinov
2016 J jnl
On a family of Weierstrass-type root-finding methods with accelerated convergence.
Appl. Math. Comput.
Petko D. Proinov, Maria T. Vasileva
2016 J jnl
Relationships between different types of initial conditions for simultaneous root finding methods.
Appl. Math. Lett.
Petko D. Proinov
2015 J jnl
Approximation of point of coincidence and common fixed points of quasi-contraction mappings using the Jungck iteration scheme.
Appl. Math. Comput.
Petko D. Proinov, Ivanka A. Nikolova
2015 J jnl
On the convergence of Halley's method for simultaneous computation of polynomial zeros.
J. Num. Math.
Petko D. Proinov, Stoil I. Ivanov
2014 J jnl
A new semilocal convergence theorem for the Weierstrass method for finding zeros of a polynomial simultaneously.
J. Complex.
Petko D. Proinov, Milena D. Petkova
2014 J jnl
Semilocal convergence of Chebyshev-like root-finding method for simultaneous approximation of polynomial zeros.
Appl. Math. Comput.
Petko D. Proinov, Slav I. Cholakov
2010 J jnl
New general convergence theory for iterative processes and its applications to Newton-Kantorovich type theorems.
J. Complex.
Petko D. Proinov
2009 J jnl
General local convergence theory for a class of iterative processes and its applications to Newton's method.
J. Complex.
Petko D. Proinov