Miodrag S. Petkovic

Publication Activity (10 Years)

Years Active: 1981-2022
Publications (10 Years): 13

Top Topics

Tomographic Image Reconstruction

Nonlinear Equations

Computationally Demanding

Top Venues

J. Comput. Appl. Math.

Appl. Math. Comput.

Appl. Math. Lett.

Int. J. Comput. Math.

Publications

Adhemar Bultheel, Miodrag S. Petkovic, Lucia Romani
Editorial In Memoriam Luc Wuytack. J. Comput. Appl. Math. 403 (2022)
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)
Miodrag S. Petkovic, Ljiljana D. Petkovic
Construction and efficiency of multipoint root-ratio methods for finding multiple zeros. J. Comput. Appl. Math. 351 (2019)
Ljiljana D. Petkovic, Miodrag S. Petkovic, Beny Neta
On optimal parameter of Laguerre's family of zero-finding methods. Int. J. Comput. Math. 96 (4) (2019)
Miodrag S. Petkovic, Ljiljana D. Petkovic
Traub-Gander's family for the simultaneous determination of multiple zeros of polynomials. J. Comput. Appl. Math. 327 (2018)
Miodrag S. Petkovic, Ljiljana D. Petkovic
Dynamic study of Schröder's families of first and second kind. Numer. Algorithms 78 (3) (2018)
Miodrag S. Petkovic, Ljiljana D. Petkovic
A note on determinantal representation of a Schröder-König-like simultaneous method for finding polynomial zeros. J. Comput. Appl. Math. 343 (2018)
Ljiljana D. Petkovic, Miodrag S. Petkovic
On a high-order one-parameter family for the simultaneous determination of polynomial roots. Appl. Math. Lett. 74 (2017)
Lidija Z. Rancic, Miodrag S. Petkovic
New simultaneous root-finding methods with accelerated convergence for analytic functions. J. Comput. Appl. Math. 296 (2016)
Beong In Yun, Miodrag S. Petkovic, Jovana Dzunic
On a general transformation of multipoint root-solvers. J. Comput. Appl. Math. 292 (2016)
Miodrag S. Petkovic, Janak Raj Sharma
On some efficient derivative-free iterative methods with memory for solving systems of nonlinear equations. Numer. Algorithms 71 (2) (2016)
Marko D. Petkovic, Miodrag S. Petkovic
Hyper-power methods for the computation of outer inverses. J. Comput. Appl. Math. 278 (2015)
Miodrag S. Petkovic, Lidija Rancic
On the guaranteed convergence of a cubically convergent Weierstrass-like root-finding method. Int. J. Comput. Math. 92 (6) (2015)
Miodrag S. Petkovic, Beny Neta, Ljiljana D. Petkovic, Jovana Dzunic
Multipoint methods for solving nonlinear equations: A survey. Appl. Math. Comput. 226 (2014)
Janak Raj Sharma, Himani Arora, Miodrag S. Petkovic
An efficient derivative free family of fourth order methods for solving systems of nonlinear equations. Appl. Math. Comput. 235 (2014)
Miodrag S. Petkovic, Ljiljana D. Petkovic, Jovana Dzunic
On an efficient simultaneous method for finding polynomial zeros. Appl. Math. Lett. 28 (2014)
Miodrag S. Petkovic, Lidija Rancic
On the guaranteed convergence of new two-point root-finding methods for polynomial zeros. Numer. Algorithms 67 (1) (2014)
Jovana Dzunic, Miodrag S. Petkovic
On generalized biparametric multipoint root finding methods with memory. J. Comput. Appl. Math. 255 (2014)
Dusan M. Milosevic, Miodrag S. Petkovic, Mimica R. Milosevic
Improved methods for the simultaneous inclusion of multiple polynomial zeros. Appl. Math. Comput. 241 (2014)
Miodrag S. Petkovic
Multi-step root solvers of Traub's type in real interval arithmetic. Appl. Math. Comput. 248 (2014)
Miodrag S. Petkovic
A note on the priority of optimal multipoint methods for solving nonlinear equations. Appl. Math. Comput. 219 (10) (2013)
Miodrag S. Petkovic, Mimica R. Milosevic
Efficient Halley-like Methods for the Inclusion of Multiple Zeros of Polynomials. Comput. Methods Appl. Math. 12 (3) (2012)
Miodrag S. Petkovic, Lidija Rancic, Mimica R. Milosevic
The improved Farmer-Loizou method for finding polynomial zeros. Int. J. Comput. Math. 89 (4) (2012)
Jovana Dzunic, Miodrag S. Petkovic
A cubically convergent Steffensen-like method for solving nonlinear equations. Appl. Math. Lett. 25 (11) (2012)
Jovana Dzunic, Miodrag S. Petkovic
A Family of Three-Point Methods of Ostrowski's Type for Solving Nonlinear Equations. J. Appl. Math. 2012 (2012)
Jovana Dzunic, Miodrag S. Petkovic, Ljiljana D. Petkovic
Three-point methods with and without memory for solving nonlinear equations. Appl. Math. Comput. 218 (9) (2012)
Jovana Dzunic, Miodrag S. Petkovic
On generalized multipoint root-solvers with memory. J. Comput. Appl. Math. 236 (11) (2012)
Mimica R. Milosevic, Miodrag S. Petkovic
Ostrowski-Like Method for the Inclusion of a Single Complex Polynomial Zero. Reliab. Comput. 16 (2012)
Miodrag S. Petkovic, Jovana Dzunic, Beny Neta
Interpolatory multipoint methods with memory for solving nonlinear equations. Appl. Math. Comput. 218 (6) (2011)
Miodrag S. Petkovic
Remarks on "On a General Class of Multipoint Root-Finding Methods of High Computational Efficiency". SIAM J. Numer. Anal. 49 (3) (2011)
Miodrag S. Petkovic, Mimica R. Milosevic, Dusan M. Milosevic
New higher-order methods for the simultaneous inclusion of polynomial zeros. Numer. Algorithms 58 (2) (2011)
Jovana Dzunic, Miodrag S. Petkovic, Ljiljana D. Petkovic
A family of optimal three-point methods for solving nonlinear equations using two parametric functions. Appl. Math. Comput. 217 (19) (2011)
Miodrag S. Petkovic, Lidija Rancic, Mimica R. Milosevic
On the new fourth-order methods for the simultaneous approximation of polynomial zeros. J. Comput. Appl. Math. 235 (14) (2011)
Miodrag S. Petkovic, Mimica R. Milosevic, Dusan M. Milosevic
Efficient methods for the inclusion of polynomial zeros. Appl. Math. Comput. 217 (19) (2011)
Miodrag S. Petkovic, Dusan M. Milosevic
Higher Order Methods for the Inclusion of Multiple Zeros of Polynomials. Reliab. Comput. 15 (2) (2011)
Miodrag S. Petkovic, Jovana Dzunic, Mimica R. Milosevic
Traub's accelerating generator of iterative root-finding methods. Appl. Math. Lett. 24 (8) (2011)
Miodrag S. Petkovic
On a General Class of Multipoint Root-Finding Methods of High Computational Efficiency. SIAM J. Numer. Anal. 47 (6) (2010)
Miodrag S. Petkovic, Dusan M. Milosevic, Ivan Petkovic
On the improved Newton-like methods for the inclusion of polynomial zeros. Int. J. Comput. Math. 87 (8) (2010)
Miodrag S. Petkovic, Ljiljana D. Petkovic, Dorde Herceg
On Schröder's families of root-finding methods. J. Comput. Appl. Math. 233 (8) (2010)
Ljiljana D. Petkovic, Miodrag S. Petkovic, Jovana Dzunic
A class of three-point root-solvers of optimal order of convergence. Appl. Math. Comput. 216 (2) (2010)
Beny Neta, Miodrag S. Petkovic
Construction of optimal order nonlinear solvers using inverse interpolation. Appl. Math. Comput. 217 (6) (2010)
Miodrag S. Petkovic, Ljiljana D. Petkovic, Jovana Dzunic
Accelerating generators of iterative methods for finding multiple roots of nonlinear equations. Comput. Math. Appl. 59 (8) (2010)
R. Thukral, Miodrag S. Petkovic
A family of three-point methods of optimal order for solving nonlinear equations. J. Comput. Appl. Math. 233 (9) (2010)
Miodrag S. Petkovic, Snezana M. Ilic, Jovana Dzunic
Derivative free two-point methods with and without memory for solving nonlinear equations. Appl. Math. Comput. 217 (5) (2010)
Beong In Yun, Miodrag S. Petkovic
Iterative methods based on the signum function approach for solving nonlinear equations. Numer. Algorithms 52 (4) (2009)
Miodrag S. Petkovic, Dorde Herceg, Ivan Petkovic
On a simultaneous method of Newton-Weierstrass' type for finding all zeros of a polynomial. Appl. Math. Comput. 215 (7) (2009)
Miodrag S. Petkovic, Lidija Rancic, Ljiljana D. Petkovic, Snezana M. Ilic
Chebyshev-like root-finding methods with accelerated convergence. Numer. Linear Algebra Appl. 16 (11-12) (2009)
Miodrag S. Petkovic
A remark on He's variational iteration technique for solving nonlinear equations. J. Comput. Appl. Math. 233 (4) (2009)
Miodrag S. Petkovic
The self-validated method for polynomial zeros of high efficiency. J. Comput. Appl. Math. 233 (4) (2009)
Miodrag S. Petkovic, Dusan M. Milosevic, Ljiljana D. Petkovic
High order Euler-like method for the inclusion of polynomial zeros. Appl. Math. Comput. 196 (2) (2008)
Miodrag S. Petkovic
A highly efficient root-solver of very fast convergence. Appl. Math. Comput. 205 (1) (2008)
Miodrag S. Petkovic, Dusan M. Milosevic
On the convergence condition of generalized root iterations for the inclusion of polynomial zeros. Math. Comput. Simul. 78 (1) (2008)
Miodrag S. Petkovic, Beong In Yun
Sigmoid-like functions and root finding methods. Appl. Math. Comput. 204 (2) (2008)
Miodrag S. Petkovic
Comments on the Basto-Semiao-Calheiros root finding method. Appl. Math. Comput. 184 (2) (2007)
Miodrag S. Petkovic, Ljiljana D. Petkovic
A new differential transformation approach for two-dimensional Volterra integral equations. Int. J. Comput. Math. 84 (4) (2007)
Miodrag S. Petkovic, Ljiljana D. Petkovic
A one parameter square root family of two-step root-finders. Appl. Math. Comput. 188 (1) (2007)
Ljiljana D. Petkovic, Miodrag S. Petkovic
A note on some recent methods for solving nonlinear equations. Appl. Math. Comput. 185 (1) (2007)
Miodrag S. Petkovic, Ljiljana D. Petkovic
Construction of zero-finding methods by Weierstrass functions. Appl. Math. Comput. 184 (2) (2007)
Miodrag S. Petkovic, Dusan M. Milosevic
On a new family of simultaneous methods with corrections for the inclusion of polynomial zeros. Int. J. Comput. Math. 83 (3) (2006)
Miodrag S. Petkovic, Ljiljana D. Petkovic
On the convergence of the sequences of Gerschgorin-like disks. Numer. Algorithms 42 (3-4) (2006)
Miodrag S. Petkovic, Lidija Rancic
A family of root-finding methods with accelerated convergence. Comput. Math. Appl. 51 (6-7) (2006)
Miodrag S. Petkovic, Dusan M. Milosevic
Improved Halley-like methods for the inclusion of polynomial zeros. Appl. Math. Comput. 169 (1) (2005)
Ljiljana D. Petkovic, Miodrag S. Petkovic, Dusan M. Milosevic
Weierstrass-like Methods with Corrections for the Inclusion of Polynomial Zeros. Computing 75 (1) (2005)
Miodrag S. Petkovic, Lidija Rancic
A new fourth-order family of simultaneous methods for finding polynomial zeros. Appl. Math. Comput. 164 (1) (2005)
Miodrag S. Petkovic, Dusan M. Milosevic
Derivative Free Inclusion Methods for Polynomial Zeros. Computing 75 (1) (2005)
Miodrag S. Petkovic, Dusan M. Milosevic
A higher order family for the simultaneous inclusion of multiple zeros of polynomials. Numer. Algorithms 39 (4) (2005)
Miodrag S. Petkovic, Lidija Rancic
On the guaranteed convergence of the fourth order simultaneous method for polynomial zeros. Appl. Math. Comput. 155 (2) (2004)
Miodrag S. Petkovic, Dusan M. Milosevic
Ostrowski-Like Method with Corrections for the Inclusion of Polynomial Zeros. Reliab. Comput. 10 (6) (2004)
Miodrag S. Petkovic, Ljiljana D. Petkovic, L. Ranic
Higher-order simultaneous methods for the determination of polynomial multiple zeros. Int. J. Comput. Math. 80 (11) (2003)
Miodrag S. Petkovic
Halley-Like Method with Corrections for the Inclusion of Polynomial Zeros. Computing 62 (1) (1999)
Miodrag S. Petkovic, Dorde Herceg, Snezana M. Ilic
Safe convergence of simultaneous methods for polynomial zeros. Numer. Algorithms 17 (3-4) (1998)
Miodrag S. Petkovic, Djordje Herceg
Börsch-supan-like methods: point estimation and parallel implementation. Int. J. Comput. Math. 64 (3-4) (1997)
Ljiljana D. Petkovic, Slobodan Trickovic, Miodrag S. Petkovic
Slope Methods of Higher Order for the Inclusion of Complex Roots of Polynomials. Reliab. Comput. 3 (4) (1997)
Miodrag S. Petkovic
On Initial Conditions for the Convergence of Simultaneous Root Finding Methods. Computing 57 (2) (1996)
Miodrag S. Petkovic, Lidija V. Stefanovic, Zvezdan M. Marjanovic
-order of some accelerated methods for the simultaneous finding of polynomial zeros. Computing 49 (4) (1993)
Carsten Carstensen, Miodrag S. Petkovic
On some interval methods for algebraic, exponential and trigonometric polynomials. Computing 51 (3-4) (1993)
Miodrag S. Petkovic, Lidija V. Stefanovic, Zvezdan M. Marjanovic
A family of simultaneous zero finding methods. Int. J. Comput. Math. 43 (1-2) (1992)
Miodrag S. Petkovic, Lidija V. Stefanovic
Forward-backward serial iteration methods for simultaneously approximating polynomial zeros. Int. J. Comput. Math. 37 (3-4) (1990)
Miodrag S. Petkovic
Schröder-like algorithms for multiple complex zeros of a polynomial. Computing 45 (1) (1990)
Ljiljana D. Petkovic, Miodrag S. Petkovic
On some applications of circular complex functions. Computing 41 (1-2) (1989)
Gradimir V. Milovanovic, Miodrag S. Petkovic
On computational efficiency of the iterative methods for the simultaneous approximation of polynomial zeros. ACM Trans. Math. Softw. 12 (4) (1986)
Miodrag S. Petkovic, Lidija V. Stefanovic
On a second order method for the simultaneous inclusion of polynomial complex zeros in rectangular arithmetic. Computing 36 (3) (1986)
Miodrag S. Petkovic, Zarko M. Mitrovic, Ljiljana D. Petkovic
Arithmetic of Circular Rings. Interval Mathematics (1985)
Ljiljana D. Petkovic, Miodrag S. Petkovic
On the k-th root in circular arithmetic. Computing 33 (1) (1984)
Gradimir V. Milovanovic, Miodrag S. Petkovic
On the convergence order of a modified method for simultaneous finding polynomial zeros. Computing 30 (2) (1983)
Miodrag S. Petkovic
On a generalisation of the root iterations for polynomial complex zeros in circular interval arithmetic. Computing 27 (1) (1981)