Miodrag Petković

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Miodrag Petković is affiliated with the following schools: University of Niš, University of Novi Sad, Faculty of Electronic Engineering, Menoufia University

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Miodrag Petković

Mathematics

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Miodrag Petković

Computer Science

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Why Is Miodrag Petković Influential?

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According to Wikipedia, Miodrag S. Petković is a mathematician and computer scientist. In 1991 he became a full professor of mathematics at the Faculty of Electronic Engineering, University of Niš in Serbia. Biography Petković specializes in the theory of iterative processes for solving nonlinear equations and Interval mathematics. He wrote 270 academic papers and 28 books, including four monographs Iterative Methods for Simultaneous Inclusion of Polynomial Zeros , Complex Interval Arithmetic and Its Applications , Point Estimation of Root Finding Methods , and Multipoint Methods for Solving Nonlinear Equations . Petković papers were cited 1193 times with Hirsch index h=20, while Elsevier's Reference Manager Mendeley displays 1565 citations and h=21.

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Miodrag Petković's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Multipoint Methods for Solving Nonlinear Equations (2012) (410)
Iterative Methods for Simultaneous Inclusion of Polynomial Zeros (1989) (160)
Multipoint methods for solving nonlinear equations: A survey (2014) (130)
A family of three-point methods of optimal order for solving nonlinear equations (2010) (112)
On a General Class of Multipoint Root-Finding Methods of High Computational Efficiency (2010) (98)
Derivative free two-point methods with and without memory for solving nonlinear equations (2010) (72)
Construction of optimal order nonlinear solvers using inverse interpolation (2010) (68)
Complex Interval Arithmetic and Its Applications (1998) (64)
Point Estimation of Root Finding Methods (2008) (57)
Three-point methods with and without memory for solving nonlinear equations (2012) (54)
Remarks on "On a General Class of Multipoint Root-Finding Methods of High Computational Efficiency" (2011) (50)
A family of optimal three-point methods for solving nonlinear equations using two parametric functions (2011) (49)
Some improved inclusion methods for polynomial roots with Weierstrass' corrections (1993) (43)
An improvement of Gargantini's simultaneous inclusion method for polynomial roots by Schro¨der's correction (1994) (41)
Interpolatory multipoint methods with memory for solving nonlinear equations (2011) (38)
Famous Puzzles of Great Mathematicians (2009) (38)
On Halley-like algorithms for simultaneous approximation of polynomial complex zeros (1989) (35)
On the convergence order of a modified method for simultaneous finding polynomial zeros (1983) (35)
Point estimation theory and its applications (1997) (34)
Laguerre-like Methods for the Simultaneous Approximation of Polynomial Zeros (1998) (34)
Point estimation of simultaneous methods for solving polynomial equations (2007) (33)
On generalized multipoint root-solvers with memory (2012) (33)
Two-point methods (2013) (32)
On computational efficiency of the iterative methods for the simultaneous approximation of polynomial zeros (1986) (30)
Safe convergence of simultaneous methods for polynomial zeros (1998) (29)
On Schröder's families of root-finding methods (2010) (29)
On generalized biparametric multipoint root finding methods with memory (2014) (28)
A note on some recent methods for solving nonlinear equations (2007) (27)
Halley-Like Method with Corrections for the Inclusion of Polynomial Zeros (1999) (27)
On an iterative method for simultaneous inclusion of polynomial complex zeros (1982) (27)
Percolation in random sequential adsorption of extended objects on a triangular lattice. (2012) (27)
A note on some improvements of the simultaneous methods for determination of polynomial zeros (1983) (26)
On initial conditions for the convergence of simultaneous root finding methods (1996) (25)
On some simultaneous methods based on Weierstrass' correction (1996) (24)
On a generalisation of the root iterations for polynomial complex zeros in circular interval arithmetic (1981) (23)
A class of three-point root-solvers of optimal order of convergence (2010) (23)
On some improvements of square root iteration for polynomial complex zeros (1986) (23)
On rediscovered methods for solving equations (1999) (22)
Accelerating generators of iterative methods for finding multiple roots of nonlinear equations (2010) (21)
On iteration methods without derivatives for the simultaneous determination of polynomial zeros (1993) (20)
An efficient derivative free family of fourth order methods for solving systems of nonlinear equations (2014) (19)
The Representation of Complex Circular Functions Using Taylor Series (1981) (19)
Hyper-power methods for the computation of outer inverses (2015) (19)
Point estimation and some applications to iterative methods (1998) (19)
A Family of Three-Point Methods of Ostrowski's Type for Solving Nonlinear Equations (2012) (19)
Symmetry effects in reversible random sequential adsorption on a triangular lattice. (2005) (17)
On some efficient derivative-free iterative methods with memory for solving systems of nonlinear equations (2016) (17)
Iterative methods based on the signum function approach for solving nonlinear equations (2009) (17)
A family of simultaneous zero-finding methods (1997) (16)
On some iteration functions for the simultaneous computation of multiple complex polynomial zeros (1987) (16)
Some higher-order methods for the simultaneous approximation of multiple polynomial zeros (1986) (16)
A one parameter square root family of two-step root-finders (2007) (14)
A new differential transformation approach for two-dimensional Volterra integral equations (2007) (13)
A cubically convergent Steffensen-like method for solving nonlinear equations (2012) (13)
ON OPTIMAL MULTIPOINT METHODS FOR SOLVING NONLINEAR EQUATIONS 1 (2009) (12)
A higher order family for the simultaneous inclusion of multiple zeros of polynomials (2005) (12)
Evaluation of Takagi-Sugeno-Kang fuzzy method in entropy-based detection of DDoS attacks (2018) (12)
The guaranteed convergence of Laguerre-like method (2003) (11)
Ostrowski-Like Method with Corrections for the Inclusion of Polynomial Zeros (2004) (11)
Higher-order iterative methods for approximating zeros of analytic functions (1992) (11)
A class of simultaneous methods for the zeros of analytic functions (1991) (11)
Some interval iterations for finding a zero of a polynomial with error bounds (1987) (11)
A family of simultaneous zero finding methods (1992) (11)
On Euler-like methods for the simultaneous approximation of polynomial zeros (1998) (10)
A highly efficient root-solver of very fast convergence (2008) (10)
Börsch-supan-like methods: point estimation and parallel implementation (1997) (10)
Generalised Root Iterations for the Simultaneous Determination of Multiple Complex Zeros (1982) (10)
The numerical stability of the generalised root iterations for polynomial zeros (1984) (10)
On the convergence order of accelerated root iterations (1984) (10)
On an efficient simultaneous method for finding polynomial zeros (2014) (9)
The convergence of Euler-like method for the simultaneous inclusion of polynomial zeros (2000) (9)
Construction of zero-finding methods by Weierstrass functions (2007) (8)
Improved Halley-like methods for the inclusion of polynomial zeros (2005) (8)
On a second order method for the simultaneous inclusion of polynomial complex zeros in rectangular arithmetic (1986) (8)
Point estimation of a family of simultaneous zero-finding methods (1998) (8)
On the new fourth-order methods for the simultaneous approximation of polynomial zeros (2011) (8)
A Host Based Method for Data Leak Protection by Tracking Sensitive Data Flow (2012) (7)
Mathematics and Chess (2011) (7)
Inequalities in Circular Arithmetic: A Survey (1998) (7)
Laguerre-like inclusion method for polynomial zeros (2003) (7)
On a new family of simultaneous methods with corrections for the inclusion of polynomial zeros (2006) (7)
Higher Order Methods for the Inclusion of Multiple Zeros of Polynomials (2011) (7)
ON A REPRESENTATION OF THE K-TH ROOT IN COMPLEX CIRCULAR INTERVAL ARITHMETIC (1980) (7)
A note on Babylonian square-root algorithm and related variants. (1996) (7)
Family of simultaneous methods of Hansen-Patrick's type (2004) (7)
On the Matrix Square Root (1998) (7)
Comments on the Basto-Semiao-Calheiros root finding method (2007) (6)
A note on the convergence of the Weierstrass SOR method for polynomial roots (1997) (6)
A new fourth-order family of simultaneous methods for finding polynomial zeros (2005) (6)
On the efficiency of some combined methods for polynomial complex zeros (1990) (6)
A computational test for the existence of polynomial zero (1989) (6)
Sigmoid-like functions and root finding methods (2008) (6)
On the convergence of Wang-Zheng's method (1998) (6)
On the convergence of Gander's type family of iterative methods for simultaneous approximation of polynomial zeros (2019) (6)
Efficient methods for the inclusion of polynomial zeros (2011) (5)
On an efficient method for the simultaneous approximation of polynomial multiple roots (2014) (5)
Multi-step root solvers of Traub's type in real interval arithmetic (2014) (5)
Efficient Halley-like Methods for the Inclusion of Multiple Zeros of Polynomials (2012) (5)
Construction and efficiency of multipoint root-ratio methods for finding multiple zeros (2019) (5)
Schröder-like algorithms for multiple complex zeros of a polynomial (1990) (5)
A posteriori error bound methods for the inclusion of polynomial zeros (2007) (5)
On the k-th root in circular arithmetic (1984) (5)
A note on the priority of optimal multipoint methods for solving nonlinear equations (2013) (5)
Higher-order simultaneous methods for the determination of polynomial multiple zeros (2003) (5)
Extremal problems for Lorentz classes of nonnegative polynomials in $L^2$ metric with Jacobi weight (1988) (5)
The behaviour of approximations of the SOR Weierstrass method (1996) (5)
Dynamic study of Schröder’s families of first and second kind (2018) (5)
ON THE GENERALIZATION OF SOME ALGORITHMS FOR THE SIMULTANEOUS APPROXIMATION OF POLYNOMIAL ROOTS (1980) (5)
On the convergence of the sequences of Gerschgorin-like disks (2006) (4)
On the Monotonicity of the Higher-Order Schulz's Method (1988) (4)
On the fourth order root finding methods of Euler's type. (2006) (4)
Chebyshev‐like root‐finding methods with accelerated convergence (2009) (4)
On a simultaneous method of Newton-Weierstrass' type for finding all zeros of a polynomial (2009) (4)
Traub's accelerating generator of iterative root-finding methods (2011) (4)
A new higher-order family of inclusion zero-finding methods (2005) (4)
Relaxation properties in a diffusive model of extended objects on a triangular lattice (2013) (4)
Methods with corrections for the simultaneous inclusion of polynomial zeros (1997) (4)
On new higher order families of simultaneous methods for finding polynomial zeros (2008) (3)
Mathematics and chess : 110 entertaining problems and solutions (1997) (3)
Derivative Free Inclusion Methods for Polynomial Zeros (2005) (3)
SQUARE-ROOT FAMILIES FOR THE SIMULTANEOUS APPROXIMATION OF POLYNOMIAL MULTIPLE ZEROS (2005) (3)
On zero-finding methods of the fourth order (1995) (3)
An efficient higher order family of root finders (2008) (3)
Chapter 1 – Basic concepts (2013) (3)
On some interval methods for algebraic, exponential and trigonometric polynomials (1993) (3)
On the improved Newton-like methods for the inclusion of polynomial zeros (2010) (3)
A family of simultaneous methods for the determination of polynomial complex zeros (1982) (3)
The self-validated method for polynomial zeros of high efficiency (2009) (3)
The Root Separation of Polynomials and Some Applications (1995) (3)
New higher-order methods for the simultaneous inclusion of polynomial zeros (2011) (3)
On the guaranteed convergence of the Japanese zero-finding method (2003) (2)
A hybrid method for a polynomial complex zero (1991) (2)
The improved Farmer–Loizou method for finding polynomial zeros (2012) (2)
High order Euler-like method for the inclusion of polynomial zeros (2008) (2)
A family of root-finding methods with accelerated convergence (2006) (2)
On optimal parameter of Laguerre's family of zero-finding methods (2019) (2)
Euler-Like Method for the Simultaneous Inclusion of Polynomial Zeros with Weierstrass’ Correction (2001) (2)
Interval Root-finding Methods of Laguerre’s Type* (2003) (2)
Iterative methods for the inclusion of the inverse matrix (2014) (2)
On a cubically convergent derivative-free root finding method (2007) (2)
Each univariate complex polynomial has a ‘big’ factor (1994) (2)
Point Estimation of Simultaneous Methods (2008) (2)
Laguerre-like methods for the simultaneous approximation of polynomial multiple zeros (2006) (2)
Weierstrass-like Methods with Corrections for the Inclusion of Polynomial Zeros (2005) (2)
Hybrid inclusion algorithms for polynomial multiple complex zeros in rectangular (1991) (2)
A Halley‐Like Hybrid Method for Solving Polynomial Equations (1992) (2)
On the guaranteed convergence of a cubically convergent Weierstrass-like root-finding method (2015) (1)
On a high-order one-parameter family for the simultaneous determination of polynomial roots (2017) (1)
On the guaranteed convergence of the square-root iteration method (2004) (1)
Improved methods for the simultaneous inclusion of multiple polynomial zeros (2014) (1)
Computational efficiency of simultaneous methods (1989) (1)
THE LINK BETWEEN SCHRÖDER ’ S ITERATION METHODS OF THE FIRST AND SECOND KIND (2009) (1)
ON AN INTERVAL METHOD FOR THE INCLUSION OF ONE POLYNOMIAL ZERO (2013) (1)
On theR-order of some accelerated methods for the simultaneous finding of polynomial zeros (1993) (1)
Generalized root iterations (1989) (1)
New simultaneous root-finding methods with accelerated convergence for analytic functions (2016) (1)
Generalized Ostrowski root-finding method (1993) (1)
Forward-backward serial iteration methods for simultaneously approximating polynomial zeros (1990) (1)
Bell's polynomials and parallel disk iterations (1989) (1)
Arithmetic of Circular Rings (1985) (1)
On the guaranteed convergence of new two-point root-finding methods for polynomial zeros (2014) (1)
Traub-Gander's family for the simultaneous determination of multiple zeros of polynomials (2018) (1)
Contribution of Mihailo Petrović to the Development of Interval Arithmetic and Computation with Numerical Intervals∗ (2020) (1)
Diametrical Inclusion Disk for Zn (1995) (1)
On the convergence condition of generalized root iterations for the inclusion of polynomial zeros (2008) (0)
THE IMPROVED SQUARE-ROOT METHODS FOR THE INCLUSION OF MULTIPLE ZEROS OF POLYNOMIALS 1 (2010) (0)
Families of Simultaneous Methods of Higher Order: Part II (2008) (0)
On root-ratio multipoint methods for finding multiple zeros of univariate functions. (2018) (0)
Tiling and packing (2009) (0)
ON THE SIMULTANEOUS IMPROVING K INCLUSION DISKS FOR POLYNOMIAL ZEROS (2008) (0)
Simultaneous methods for polynomial zeros (2013) (0)
IMPROVEMENT OF CONVERGENCE CONDITION OF THE SQUARE-ROOT INTERVAL METHOD FOR MULTIPLE ZEROS 1 (2006) (0)
Some basic facts from graph theory (2009) (0)
Derivative free method for the simultaneous inclusion of polynomial zeros (2003) (0)
ON THE GUARANTEED CONVERGENCE OF A FAMILY OF SIMULTANEOUS ITERATIVE METHODS (0)
FILOMAT 17 (2003), 143–154 INCLUSION WEIERSTRASS-LIKE ROOT-FINDERS WITH CORRECTIONS (2009) (0)
On some iteration improvements of square for polynomial complex (2001) (0)
Author ' s personal copy Derivative free two-point methods with and without memory for solving nonlinear equations (2010) (0)
Higher order Euler-like methods. (1998) (0)
LAGUERRE-LIKE METHODS FOR THE SIMULTANEOUS INCLUSION OF MULTIPLE ZEROS OF POLYNOMIALS (2005) (0)
Method of continued fractions for solving Pell’s equation (2009) (0)
Inclusive Calculus of Residues (1993) (0)
A remark on He's variational iteration technique for solving nonlinear equations (2009) (0)
Higher-order optimal methods (2013) (0)
Linear difference equations with constant coefficients (2009) (0)
Iterative Processes and Point Estimation Theory (2008) (0)
Iterative methods without derivatives (1989) (0)
On an Efficient Family of Simultaneous Methods for Finding Polynomial Multiple Zeros (2013) (0)
On some applications of circular complex functions (2005) (0)
Tchebychef-like method for the simultaneous finding zeros of analytic functions (1996) (0)
The numerical stability of a Laguerre-like method for the simultaneous inclusion of polynomial zeros (2006) (0)
ON THE DIVERGENT PROPERTIES OF TWO–SIDED SOR WEIERSTRASS METHOD (2004) (0)
Some classes of iterative methods for finding zeros of polynomials and analytic functions (1995) (0)
Letter to the editor: A note on the improved derivative free root-solvers (2009) (0)
Ostrowski-Like Method for the Inclusion of a Single Complex Polynomial Zero (2012) (0)
Slope Methods of Higher Order for the Inclusion of Complex Roots of Polynomials (1997) (0)
On some efficient derivative-free iterative methods with memory for solving systems of nonlinear equations (2015) (0)
Three-point optimal methods (2013) (0)
On the guaranteed convergence of new two-point root-finding methods for polynomial zeros (2013) (0)
ON THE CONVERGENCE OF THE THIRD ORDER ROOT-SOLVER ∗ (2007) (0)
On a general transformation of multipoint root-solvers (2016) (0)
Multipoint methods with memory (2013) (0)
Schröder-like Methods for the Simultaneous Inclusion of Polynomial Zeros (2003) (0)
On the fourth order methods of Weierstrass' type (1997) (0)
Three-point non-optimal methods (2013) (0)
DERIVATIVE FREE COMBINED METHOD FOR THE SIMULTANEOUS INCLUSION OF POLYNOMIAL ZEROS (2009) (0)
A note on determinantal representation of a Schröder-König-like simultaneous method for finding polynomial zeros (2018) (0)
Dynamic study of Schröder’s families of first and second kind (2017) (0)
Compaction of Anisotropic Granular Materials: Symmetry Effects (2006) (0)
On the guaranteed convergence of the fourth order simultaneous method for polynomial zeros (2004) (0)
Letter to the Editor: comments on some recent methods for the simultaneous determination of polynomial zeros (2002) (0)
Editorial In Memoriam Luc Wuytack (2022) (0)
LAGUERRE-LIKE METHODS WITH CORRECTIONS FOR THE INCLUSION OF POLYNOMIAL ZEROS (2005) (0)
On an Interval Newton's Method Derived from Exponential Curve Fitting (1981) (0)

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