Miodrag S. Petkovic

According to our database, Miodrag S. Petkovic authored at least 86 papers between 1981 and 2022.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of five.

2022

Editorial In Memoriam Luc Wuytack.

Adhemar Bultheel, Miodrag S. Petkovic, Lucia Romani

J. Comput. Appl. Math., 2022

2019

Construction and efficiency of multipoint root-ratio methods for finding multiple zeros.

Miodrag S. Petkovic, Ljiljana D. Petkovic

J. Comput. Appl. Math., 2019

On optimal parameter of Laguerre's family of zero-finding methods.

Ljiljana D. Petkovic, Miodrag S. Petkovic, Beny Neta

Int. J. Comput. Math., 2019

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

2018

Dynamic study of Schröder's families of first and second kind.

Miodrag S. Petkovic, Ljiljana D. Petkovic

Numer. Algorithms, 2018

A note on determinantal representation of a Schröder-König-like simultaneous method for finding polynomial zeros.

Miodrag S. Petkovic, Ljiljana D. Petkovic

J. Comput. Appl. Math., 2018

Traub-Gander's family for the simultaneous determination of multiple zeros of polynomials.

Miodrag S. Petkovic, Ljiljana D. Petkovic

J. Comput. Appl. Math., 2018

2017

On a high-order one-parameter family for the simultaneous determination of polynomial roots.

Ljiljana D. Petkovic, Miodrag S. Petkovic

Appl. Math. Lett., 2017

2016

On some efficient derivative-free iterative methods with memory for solving systems of nonlinear equations.

Miodrag S. Petkovic, Janak Raj Sharma

Numer. Algorithms, 2016

On a general transformation of multipoint root-solvers.

Beong In Yun, Miodrag S. Petkovic, Jovana Dzunic

J. Comput. Appl. Math., 2016

New simultaneous root-finding methods with accelerated convergence for analytic functions.

Lidija Z. Rancic, Miodrag S. Petkovic

J. Comput. Appl. Math., 2016

2015

Hyper-power methods for the computation of outer inverses.

Marko D. Petkovic, Miodrag S. Petkovic

J. Comput. Appl. Math., 2015

On the guaranteed convergence of a cubically convergent Weierstrass-like root-finding method.

Miodrag S. Petkovic, Lidija Rancic

Int. J. Comput. Math., 2015

2014

On the guaranteed convergence of new two-point root-finding methods for polynomial zeros.

Miodrag S. Petkovic, Lidija Rancic

Numer. Algorithms, 2014

On generalized biparametric multipoint root finding methods with memory.

Jovana Dzunic, Miodrag S. Petkovic

J. Comput. Appl. Math., 2014

On an efficient simultaneous method for finding polynomial zeros.

Miodrag S. Petkovic, Ljiljana D. Petkovic, Jovana Dzunic

Appl. Math. Lett., 2014

An efficient derivative free family of fourth order methods for solving systems of nonlinear equations.

Janak Raj Sharma, Himani Arora, Miodrag S. Petkovic

Appl. Math. Comput., 2014

Multipoint methods for solving nonlinear equations: A survey.

Miodrag S. Petkovic, Beny Neta, Ljiljana D. Petkovic, Jovana Dzunic

Appl. Math. Comput., 2014

Multi-step root solvers of Traub's type in real interval arithmetic.

Miodrag S. Petkovic

Appl. Math. Comput., 2014

Improved methods for the simultaneous inclusion of multiple polynomial zeros.

Dusan M. Milosevic, Miodrag S. Petkovic, Mimica R. Milosevic

Appl. Math. Comput., 2014

2013

A note on the priority of optimal multipoint methods for solving nonlinear equations.

Miodrag S. Petkovic

Appl. Math. Comput., 2013

2012

Ostrowski-Like Method for the Inclusion of a Single Complex Polynomial Zero.

Mimica R. Milosevic, Miodrag S. Petkovic

Reliab. Comput., 2012

On generalized multipoint root-solvers with memory.

Jovana Dzunic, Miodrag S. Petkovic

J. Comput. Appl. Math., 2012

A Family of Three-Point Methods of Ostrowski's Type for Solving Nonlinear Equations.

Jovana Dzunic, Miodrag S. Petkovic

J. Appl. Math., 2012

The improved Farmer-Loizou method for finding polynomial zeros.

Miodrag S. Petkovic, Lidija Rancic, Mimica R. Milosevic

Int. J. Comput. Math., 2012

Efficient Halley-like Methods for the Inclusion of Multiple Zeros of Polynomials.

Miodrag S. Petkovic, Mimica R. Milosevic

Comput. Methods Appl. Math., 2012

A cubically convergent Steffensen-like method for solving nonlinear equations.

Jovana Dzunic, Miodrag S. Petkovic

Appl. Math. Lett., 2012

Three-point methods with and without memory for solving nonlinear equations.

Jovana Dzunic, Miodrag S. Petkovic, Ljiljana D. Petkovic

Appl. Math. Comput., 2012

2011

Remarks on "On a General Class of Multipoint Root-Finding Methods of High Computational Efficiency".

Miodrag S. Petkovic

SIAM J. Numer. Anal., 2011

Higher Order Methods for the Inclusion of Multiple Zeros of Polynomials.

Miodrag S. Petkovic, Dusan M. Milosevic

Reliab. Comput., 2011

New higher-order methods for the simultaneous inclusion of polynomial zeros.

Miodrag S. Petkovic, Mimica R. Milosevic, Dusan M. Milosevic

Numer. Algorithms, 2011

On the new fourth-order methods for the simultaneous approximation of polynomial zeros.

Miodrag S. Petkovic, Lidija Rancic, Mimica R. Milosevic

J. Comput. Appl. Math., 2011

Traub's accelerating generator of iterative root-finding methods.

Miodrag S. Petkovic, Jovana Dzunic, Mimica R. Milosevic

Appl. Math. Lett., 2011

Efficient methods for the inclusion of polynomial zeros.

Miodrag S. Petkovic, Mimica R. Milosevic, Dusan M. Milosevic

Appl. Math. Comput., 2011

Interpolatory multipoint methods with memory for solving nonlinear equations.

Miodrag S. Petkovic, Jovana Dzunic, Beny Neta

Appl. Math. Comput., 2011

A family of optimal three-point methods for solving nonlinear equations using two parametric functions.

Jovana Dzunic, Miodrag S. Petkovic, Ljiljana D. Petkovic

Appl. Math. Comput., 2011

2010

On a General Class of Multipoint Root-Finding Methods of High Computational Efficiency.

Miodrag S. Petkovic

SIAM J. Numer. Anal., 2010

A family of three-point methods of optimal order for solving nonlinear equations.

R. Thukral, Miodrag S. Petkovic

J. Comput. Appl. Math., 2010

On Schröder's families of root-finding methods.

Miodrag S. Petkovic, Ljiljana D. Petkovic, Dorde Herceg

J. Comput. Appl. Math., 2010

On the improved Newton-like methods for the inclusion of polynomial zeros.

Miodrag S. Petkovic, Dusan M. Milosevic, Ivan Petkovic

Int. J. Comput. Math., 2010

Accelerating generators of iterative methods for finding multiple roots of nonlinear equations.

Miodrag S. Petkovic, Ljiljana D. Petkovic, Jovana Dzunic

Comput. Math. Appl., 2010

A class of three-point root-solvers of optimal order of convergence.

Ljiljana D. Petkovic, Miodrag S. Petkovic, Jovana Dzunic

Appl. Math. Comput., 2010

Derivative free two-point methods with and without memory for solving nonlinear equations.

Miodrag S. Petkovic, Snezana M. Ilic, Jovana Dzunic

Appl. Math. Comput., 2010

Construction of optimal order nonlinear solvers using inverse interpolation.

Beny Neta, Miodrag S. Petkovic

Appl. Math. Comput., 2010

2009

Chebyshev-like root-finding methods with accelerated convergence.

Miodrag S. Petkovic, Lidija Rancic, Ljiljana D. Petkovic, Snezana M. Ilic

Numer. Linear Algebra Appl., 2009

Iterative methods based on the signum function approach for solving nonlinear equations.

Beong In Yun, Miodrag S. Petkovic

Numer. Algorithms, 2009

A remark on He's variational iteration technique for solving nonlinear equations.

Miodrag S. Petkovic

J. Comput. Appl. Math., 2009

The self-validated method for polynomial zeros of high efficiency.

Miodrag S. Petkovic

J. Comput. Appl. Math., 2009

On a simultaneous method of Newton-Weierstrass' type for finding all zeros of a polynomial.

Miodrag S. Petkovic, Dorde Herceg, Ivan Petkovic

Appl. Math. Comput., 2009

2008

On the convergence condition of generalized root iterations for the inclusion of polynomial zeros.

Miodrag S. Petkovic, Dusan M. Milosevic

Math. Comput. Simul., 2008

Sigmoid-like functions and root finding methods.

Miodrag S. Petkovic, Beong In Yun

Appl. Math. Comput., 2008

High order Euler-like method for the inclusion of polynomial zeros.

Miodrag S. Petkovic, Dusan M. Milosevic, Ljiljana D. Petkovic

Appl. Math. Comput., 2008

A highly efficient root-solver of very fast convergence.

Miodrag S. Petkovic

Appl. Math. Comput., 2008

2007

A new differential transformation approach for two-dimensional Volterra integral equations.

Miodrag S. Petkovic, Ljiljana D. Petkovic

Int. J. Comput. Math., 2007

A one parameter square root family of two-step root-finders.

Miodrag S. Petkovic, Ljiljana D. Petkovic

Appl. Math. Comput., 2007

A note on some recent methods for solving nonlinear equations.

Ljiljana D. Petkovic, Miodrag S. Petkovic

Appl. Math. Comput., 2007

Construction of zero-finding methods by Weierstrass functions.

Miodrag S. Petkovic, Ljiljana D. Petkovic

Appl. Math. Comput., 2007

Comments on the Basto-Semiao-Calheiros root finding method.

Miodrag S. Petkovic

Appl. Math. Comput., 2007

2006

On the convergence of the sequences of Gerschgorin-like disks.

Miodrag S. Petkovic, Ljiljana D. Petkovic

Numer. Algorithms, 2006

On a new family of simultaneous methods with corrections for the inclusion of polynomial zeros.

Miodrag S. Petkovic, Dusan M. Milosevic

Int. J. Comput. Math., 2006

A family of root-finding methods with accelerated convergence.

Miodrag S. Petkovic, Lidija Rancic

Comput. Math. Appl., 2006

2005

A higher order family for the simultaneous inclusion of multiple zeros of polynomials.

Miodrag S. Petkovic, Dusan M. Milosevic

Numer. Algorithms, 2005

Weierstrass-like Methods with Corrections for the Inclusion of Polynomial Zeros.

Ljiljana D. Petkovic, Miodrag S. Petkovic, Dusan M. Milosevic

Computing, 2005

Derivative Free Inclusion Methods for Polynomial Zeros.

Miodrag S. Petkovic, Dusan M. Milosevic

Computing, 2005

A new fourth-order family of simultaneous methods for finding polynomial zeros.

Miodrag S. Petkovic, Lidija Rancic

Appl. Math. Comput., 2005

Improved Halley-like methods for the inclusion of polynomial zeros.

Miodrag S. Petkovic, Dusan M. Milosevic

Appl. Math. Comput., 2005

2004

Ostrowski-Like Method with Corrections for the Inclusion of Polynomial Zeros.

Miodrag S. Petkovic, Dusan M. Milosevic

Reliab. Comput., 2004

On the guaranteed convergence of the fourth order simultaneous method for polynomial zeros.

Miodrag S. Petkovic, Lidija Rancic

Appl. Math. Comput., 2004

2003

Higher-order simultaneous methods for the determination of polynomial multiple zeros.

Miodrag S. Petkovic, Ljiljana D. Petkovic, L. Ranic

Int. J. Comput. Math., 2003

1999

Halley-Like Method with Corrections for the Inclusion of Polynomial Zeros.

Miodrag S. Petkovic

Computing, 1999

1998

Safe convergence of simultaneous methods for polynomial zeros.

Miodrag S. Petkovic, Dorde Herceg, Snezana M. Ilic

Numer. Algorithms, 1998

1997

Slope Methods of Higher Order for the Inclusion of Complex Roots of Polynomials.

Ljiljana D. Petkovic, Slobodan Trickovic, Miodrag S. Petkovic

Reliab. Comput., 1997

Börsch-supan-like methods: point estimation and parallel implementation.

Miodrag S. Petkovic, Djordje Herceg

Int. J. Comput. Math., 1997

1996

On Initial Conditions for the Convergence of Simultaneous Root Finding Methods.

Miodrag S. Petkovic

Computing, 1996

1993

On the<i>R</i>-order of some accelerated methods for the simultaneous finding of polynomial zeros.

Miodrag S. Petkovic, Lidija V. Stefanovic, Zvezdan M. Marjanovic

Computing, 1993

On some interval methods for algebraic, exponential and trigonometric polynomials.

Carsten Carstensen, Miodrag S. Petkovic

Computing, 1993

1992

A family of simultaneous zero finding methods.

Miodrag S. Petkovic, Lidija V. Stefanovic, Zvezdan M. Marjanovic

Int. J. Comput. Math., 1992

1990

Forward-backward serial iteration methods for simultaneously approximating polynomial zeros.

Miodrag S. Petkovic, Lidija V. Stefanovic

Int. J. Comput. Math., 1990

Schröder-like algorithms for multiple complex zeros of a polynomial.

Miodrag S. Petkovic

Computing, 1990

1989

On some applications of circular complex functions.

Ljiljana D. Petkovic, Miodrag S. Petkovic

Computing, 1989

1986

On computational efficiency of the iterative methods for the simultaneous approximation of polynomial zeros.

Gradimir V. Milovanovic, Miodrag S. Petkovic

ACM Trans. Math. Softw., 1986

On a second order method for the simultaneous inclusion of polynomial complex zeros in rectangular arithmetic.

Miodrag S. Petkovic, Lidija V. Stefanovic

Computing, 1986

1985

Arithmetic of Circular Rings.

Miodrag S. Petkovic, Zarko M. Mitrovic, Ljiljana D. Petkovic

Proceedings of the Interval Mathemantics 1985: Proceedings of the International Symposium, 1985

1984

On the k-th root in circular arithmetic.

Ljiljana D. Petkovic, Miodrag S. Petkovic

Computing, 1984

1983

On the convergence order of a modified method for simultaneous finding polynomial zeros.

Gradimir V. Milovanovic, Miodrag S. Petkovic

Computing, 1983

1981

On a generalisation of the root iterations for polynomial complex zeros in circular interval arithmetic.

Miodrag S. Petkovic

Computing, 1981