General local convergence theory for a class of iterative processes and its applications to Newton's method. - Petko D. Proinov (J. Complex., 2009)

New general convergence theory for iterative processes and its applications to Newton-Kantorovich type theorems. - Petko D. Proinov (J. Complex., 2010)

Semilocal convergence of Chebyshev-like root-finding method for simultaneous approximation of polynomial zeros. - Petko D. Proinov; Slav I. Cholakov (Appl. Math. Comput., 2014)

A new semilocal convergence theorem for the Weierstrass method for finding zeros of a polynomial simultaneously. - Petko D. Proinov; Milena D. Petkova (J. Complex., 2014)

Approximation of point of coincidence and common fixed points of quasi-contraction mappings using the Jungck iteration scheme. - Petko D. Proinov; Ivanka A. Nikolova (Appl. Math. Comput., 2015)

On the convergence of Halley's method for simultaneous computation of polynomial zeros. - Petko D. Proinov; Stoil I. Ivanov (J. Num. Math., 2015)

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 (Appl. Math. Comput., 2016)

On a family of Weierstrass-type root-finding methods with accelerated convergence. - Petko D. Proinov; Maria T. Vasileva (Appl. Math. Comput., 2016)

Relationships between different types of initial conditions for simultaneous root finding methods. - Petko D. Proinov (Appl. Math. Lett., 2016)

General convergence theorems for iterative processes and applications to the Weierstrass root-finding method. - Petko D. Proinov (J. Complex., 2016)

On the convergence of Gander's type family of iterative methods for simultaneous approximation of polynomial zeros. - Petko D. Proinov; Stoil I. Ivanov; Miodrag S. Petkovic (Appl. Math. Comput., 2019)

On the convergence of high-order Gargantini-Farmer-Loizou type iterative methods for simultaneous approximation of polynomial zeros. - Petko D. Proinov; Maria T. Vasileva (Appl. Math. Comput., 2019)

Convergence analysis of Sakurai-Torii-Sugiura iterative method for simultaneous approximation of polynomial zeros. - Petko D. Proinov; Stoil I. Ivanov (J. Comput. Appl. Math., 2019)

Local and Semilocal Convergence of Nourein's Iterative Method for Finding All Zeros of a Polynomial Simultaneously. - Petko D. Proinov; Maria T. Vasileva (Symmetry, 2020)

Two Classes of Iteration Functions and Q-Convergence of Two Iterative Methods for Polynomial Zeros. - Petko D. Proinov (Symmetry, 2021)

A new family of Sakurai-Torii-Sugiura type iterative methods with high order of convergence. - Petko D. Proinov; Stoil I. Ivanov (J. Comput. Appl. Math., 2024)