Petko D. Proinov

Publication Activity (10 Years)

Years Active: 2009-2024
Publications (10 Years): 12

Top Topics

Initial Conditions

Convergence Theorem

Iterative Methods

Top Venues

Appl. Math. Comput.

J. Comput. Appl. Math.

Publications

Petko D. Proinov, Stoil I. Ivanov
A new family of Sakurai-Torii-Sugiura type iterative methods with high order of convergence. J. Comput. Appl. Math. 436 (2024)
Petko D. Proinov
Two Classes of Iteration Functions and Q-Convergence of Two Iterative Methods for Polynomial Zeros. Symmetry 13 (3) (2021)
Petko D. Proinov, Maria T. Vasileva
Local and Semilocal Convergence of Nourein's Iterative Method for Finding All Zeros of a Polynomial Simultaneously. Symmetry 12 (11) (2020)
Petko D. Proinov, Stoil I. Ivanov, Miodrag S. Petkovic
On the convergence of Gander's type family of iterative methods for simultaneous approximation of polynomial zeros. Appl. Math. Comput. 349 (2019)
Petko D. Proinov, Stoil I. Ivanov
Convergence analysis of Sakurai-Torii-Sugiura iterative method for simultaneous approximation of polynomial zeros. J. Comput. Appl. Math. 357 (2019)
Petko D. Proinov, Maria T. Vasileva
On the convergence of high-order Gargantini-Farmer-Loizou type iterative methods for simultaneous approximation of polynomial zeros. Appl. Math. Comput. 361 (2019)
Petko D. Proinov
General convergence theorems for iterative processes and applications to the Weierstrass root-finding method. J. Complex. 33 (2016)
Petko D. Proinov
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. 284 (2016)
Petko D. Proinov, Maria T. Vasileva
On a family of Weierstrass-type root-finding methods with accelerated convergence. Appl. Math. Comput. 273 (2016)
Petko D. Proinov
Relationships between different types of initial conditions for simultaneous root finding methods. Appl. Math. Lett. 52 (2016)
Petko D. Proinov, Ivanka A. Nikolova
Approximation of point of coincidence and common fixed points of quasi-contraction mappings using the Jungck iteration scheme. Appl. Math. Comput. 264 (2015)
Petko D. Proinov, Stoil I. Ivanov
On the convergence of Halley's method for simultaneous computation of polynomial zeros. J. Num. Math. 23 (4) (2015)
Petko D. Proinov, Milena D. Petkova
A new semilocal convergence theorem for the Weierstrass method for finding zeros of a polynomial simultaneously. J. Complex. 30 (3) (2014)
Petko D. Proinov, Slav I. Cholakov
Semilocal convergence of Chebyshev-like root-finding method for simultaneous approximation of polynomial zeros. Appl. Math. Comput. 236 (2014)
Petko D. Proinov
New general convergence theory for iterative processes and its applications to Newton-Kantorovich type theorems. J. Complex. 26 (1) (2010)
Petko D. Proinov
General local convergence theory for a class of iterative processes and its applications to Newton's method. J. Complex. 25 (1) (2009)