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Miodrag S. Petkovic
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- affiliation: University of Nis, Serbia
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2020 – today
- 2022
- [j85]Adhemar Bultheel
, Miodrag S. Petkovic, Lucia Romani
Editorial In Memoriam Luc Wuytack. J. Comput. Appl. Math. 403: 113809 (2022)
2010 – 2019
- 2019
- [j84]Petko D. Proinov
On the convergence of Gander's type family of iterative methods for simultaneous approximation of polynomial zeros. Appl. Math. Comput. 349: 168-183 (2019) - [j83]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): 692-707 (2019) - [j82]Miodrag S. Petkovic, Ljiljana D. Petkovic:
Construction and efficiency of multipoint root-ratio methods for finding multiple zeros. J. Comput. Appl. Math. 351: 54-65 (2019) - 2018
- [j81]Miodrag S. Petkovic, Ljiljana D. Petkovic:
Traub-Gander's family for the simultaneous determination of multiple zeros of polynomials. J. Comput. Appl. Math. 327: 362-371 (2018) - [j80]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: 481-487 (2018) - [j79]Miodrag S. Petkovic, Ljiljana D. Petkovic:
Dynamic study of Schröder's families of first and second kind. Numer. Algorithms 78(3): 847-865 (2018) - 2017
- [j78]Ljiljana D. Petkovic, Miodrag S. Petkovic:
On a high-order one-parameter family for the simultaneous determination of polynomial roots. Appl. Math. Lett. 74: 94-101 (2017) - 2016
- [j77]Beong In Yun
On a general transformation of multipoint root-solvers. J. Comput. Appl. Math. 292: 136-149 (2016) - [j76]Lidija Z. Rancic
New simultaneous root-finding methods with accelerated convergence for analytic functions. J. Comput. Appl. Math. 296: 228-236 (2016) - [j75]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): 457-474 (2016) - 2015
- [j74]Miodrag S. Petkovic, Lidija Rancic
On the guaranteed convergence of a cubically convergent Weierstrass-like root-finding method. Int. J. Comput. Math. 92(6): 1303-1312 (2015) - [j73]Marko D. Petkovic, Miodrag S. Petkovic:
Hyper-power methods for the computation of outer inverses. J. Comput. Appl. Math. 278: 110-118 (2015) - 2014
- [j72]Miodrag S. Petkovic, Beny Neta, Ljiljana D. Petkovic, Jovana Dzunic
Multipoint methods for solving nonlinear equations: A survey. Appl. Math. Comput. 226: 635-660 (2014) - [j71]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: 383-393 (2014) - [j70]Dusan M. Milosevic
Improved methods for the simultaneous inclusion of multiple polynomial zeros. Appl. Math. Comput. 241: 332-346 (2014) - [j69]Miodrag S. Petkovic:
Multi-step root solvers of Traub's type in real interval arithmetic. Appl. Math. Comput. 248: 430-440 (2014) - [j68]Miodrag S. Petkovic, Ljiljana D. Petkovic, Jovana Dzunic
On an efficient simultaneous method for finding polynomial zeros. Appl. Math. Lett. 28: 60-65 (2014) - [j67]Jovana Dzunic
On generalized biparametric multipoint root finding methods with memory. J. Comput. Appl. Math. 255: 362-375 (2014) - [j66]Miodrag S. Petkovic, Lidija Rancic
On the guaranteed convergence of new two-point root-finding methods for polynomial zeros. Numer. Algorithms 67(1): 187-222 (2014) - 2013
- [j65]Miodrag S. Petkovic:
A note on the priority of optimal multipoint methods for solving nonlinear equations. Appl. Math. Comput. 219(10): 5249-5252 (2013) - 2012
- [j64]Jovana Dzunic
Three-point methods with and without memory for solving nonlinear equations. Appl. Math. Comput. 218(9): 4917-4927 (2012) - [j63]Jovana Dzunic
A cubically convergent Steffensen-like method for solving nonlinear equations. Appl. Math. Lett. 25(11): 1881-1886 (2012) - [j62]Miodrag S. Petkovic, Mimica R. Milosevic
Efficient Halley-like Methods for the Inclusion of Multiple Zeros of Polynomials. Comput. Methods Appl. Math. 12(3): 351-366 (2012) - [j61]Miodrag S. Petkovic, Lidija Rancic, Mimica R. Milosevic
The improved Farmer-Loizou method for finding polynomial zeros. Int. J. Comput. Math. 89(4): 499-509 (2012) - [j60]Jovana Dzunic
A Family of Three-Point Methods of Ostrowski's Type for Solving Nonlinear Equations. J. Appl. Math. 2012: 425867:1-425867:9 (2012) - [j59]Jovana Dzunic
On generalized multipoint root-solvers with memory. J. Comput. Appl. Math. 236(11): 2909-2920 (2012) - [j58]Mimica R. Milosevic, Miodrag S. Petkovic:
Ostrowski-Like Method for the Inclusion of a Single Complex Polynomial Zero. Reliab. Comput. 16: 225-238 (2012) - 2011
- [j57]Jovana Dzunic
A family of optimal three-point methods for solving nonlinear equations using two parametric functions. Appl. Math. Comput. 217(19): 7612-7619 (2011) - [j56]Miodrag S. Petkovic, Mimica R. Milosevic
Efficient methods for the inclusion of polynomial zeros. Appl. Math. Comput. 217(19): 7636-7652 (2011) - [j55]Miodrag S. Petkovic, Jovana Dzunic
Interpolatory multipoint methods with memory for solving nonlinear equations. Appl. Math. Comput. 218(6): 2533-2541 (2011) - [j54]Miodrag S. Petkovic, Jovana Dzunic
Traub's accelerating generator of iterative root-finding methods. Appl. Math. Lett. 24(8): 1443-1448 (2011) - [j53]Miodrag S. Petkovic, Lidija Rancic
On the new fourth-order methods for the simultaneous approximation of polynomial zeros. J. Comput. Appl. Math. 235(14): 4059-4075 (2011) - [j52]Miodrag S. Petkovic, Mimica R. Milosevic
New higher-order methods for the simultaneous inclusion of polynomial zeros. Numer. Algorithms 58(2): 179-201 (2011) - [j51]Miodrag S. Petkovic, Dusan M. Milosevic:
Higher Order Methods for the Inclusion of Multiple Zeros of Polynomials. Reliab. Comput. 15(2): 91-108 (2011) - [j50]Miodrag S. Petkovic:
Remarks on "On a General Class of Multipoint Root-Finding Methods of High Computational Efficiency". SIAM J. Numer. Anal. 49(3): 1317-1319 (2011) - 2010
- [j49]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): 671-676 (2010) - [j48]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): 1887-1895 (2010) - [j47]Beny Neta
Construction of optimal order nonlinear solvers using inverse interpolation. Appl. Math. Comput. 217(6): 2448-2455 (2010) - [j46]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): 2784-2793 (2010) - [j45]Miodrag S. Petkovic, Dusan M. Milosevic
On the improved Newton-like methods for the inclusion of polynomial zeros. Int. J. Comput. Math. 87(8): 1726-1735 (2010) - [j44]Miodrag S. Petkovic, Ljiljana D. Petkovic, Dorde Herceg
On Schröder's families of root-finding methods. J. Comput. Appl. Math. 233(8): 1755-1762 (2010) - [j43]R. Thukral, Miodrag S. Petkovic:
A family of three-point methods of optimal order for solving nonlinear equations. J. Comput. Appl. Math. 233(9): 2278-2284 (2010) - [j42]Miodrag S. Petkovic:
On a General Class of Multipoint Root-Finding Methods of High Computational Efficiency. SIAM J. Numer. Anal. 47(6): 4402-4414 (2010)
2000 – 2009
- 2009
- [j41]Miodrag S. Petkovic, Dorde Herceg
On a simultaneous method of Newton-Weierstrass' type for finding all zeros of a polynomial. Appl. Math. Comput. 215(7): 2456-2463 (2009) - [j40]Miodrag S. Petkovic:
The self-validated method for polynomial zeros of high efficiency. J. Comput. Appl. Math. 233(4): 1175-1186 (2009) - [j39]Miodrag S. Petkovic:
A remark on He's variational iteration technique for solving nonlinear equations. J. Comput. Appl. Math. 233(4): 1187-1189 (2009) - [j38]Beong In Yun
Iterative methods based on the signum function approach for solving nonlinear equations. Numer. Algorithms 52(4): 649-662 (2009) - [j37]Miodrag S. Petkovic, Lidija Rancic
Chebyshev-like root-finding methods with accelerated convergence. Numer. Linear Algebra Appl. 16(11-12): 971-994 (2009) - 2008
- [j36]Miodrag S. Petkovic, Dusan M. Milosevic
High order Euler-like method for the inclusion of polynomial zeros. Appl. Math. Comput. 196(2): 762-773 (2008) - [j35]Miodrag S. Petkovic, Beong In Yun
Sigmoid-like functions and root finding methods. Appl. Math. Comput. 204(2): 784-793 (2008) - [j34]Miodrag S. Petkovic:
A highly efficient root-solver of very fast convergence. Appl. Math. Comput. 205(1): 298-302 (2008) - [j33]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): 12-26 (2008) - 2007
- [j32]Miodrag S. Petkovic:
Comments on the Basto-Semiao-Calheiros root finding method. Appl. Math. Comput. 184(2): 143-148 (2007) - [j31]Miodrag S. Petkovic, Ljiljana D. Petkovic:
Construction of zero-finding methods by Weierstrass functions. Appl. Math. Comput. 184(2): 351-359 (2007) - [j30]Ljiljana D. Petkovic, Miodrag S. Petkovic:
A note on some recent methods for solving nonlinear equations. Appl. Math. Comput. 185(1): 368-374 (2007) - [j29]Miodrag S. Petkovic, Ljiljana D. Petkovic:
A one parameter square root family of two-step root-finders. Appl. Math. Comput. 188(1): 339-344 (2007) - [j28]Miodrag S. Petkovic, Ljiljana D. Petkovic:
A new differential transformation approach for two-dimensional Volterra integral equations. Int. J. Comput. Math. 84(4): 505-513 (2007) - 2006
- [j27]Miodrag S. Petkovic, Lidija Rancic
A family of root-finding methods with accelerated convergence. Comput. Math. Appl. 51(6-7): 999-1010 (2006) - [j26]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): 299-317 (2006) - [j25]Miodrag S. Petkovic, Ljiljana D. Petkovic:
On the convergence of the sequences of Gerschgorin-like disks. Numer. Algorithms 42(3-4): 363-377 (2006) - 2005
- [j24]Miodrag S. Petkovic, Lidija Rancic
A new fourth-order family of simultaneous methods for finding polynomial zeros. Appl. Math. Comput. 164(1): 227-248 (2005) - [j23]Miodrag S. Petkovic, Dusan M. Milosevic
Improved Halley-like methods for the inclusion of polynomial zeros. Appl. Math. Comput. 169(1): 417-436 (2005) - [j22]Ljiljana D. Petkovic, Miodrag S. Petkovic, Dusan M. Milosevic
Weierstrass-like Methods with Corrections for the Inclusion of Polynomial Zeros. Computing 75(1): 55-69 (2005) - [j21]Miodrag S. Petkovic, Dusan M. Milosevic
Derivative Free Inclusion Methods for Polynomial Zeros. Computing 75(1): 71-83 (2005) - [j20]Miodrag S. Petkovic, Dusan M. Milosevic
A higher order family for the simultaneous inclusion of multiple zeros of polynomials. Numer. Algorithms 39(4): 415-435 (2005) - 2004
- [j19]Miodrag S. Petkovic, Lidija Rancic
On the guaranteed convergence of the fourth order simultaneous method for polynomial zeros. Appl. Math. Comput. 155(2): 531-543 (2004) - [j18]Miodrag S. Petkovic, Dusan M. Milosevic
Ostrowski-Like Method with Corrections for the Inclusion of Polynomial Zeros. Reliab. Comput. 10(6): 437-467 (2004) - 2003
- [j17]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): 1407-1427 (2003)
1990 – 1999
- 1999
- [j16]Miodrag S. Petkovic:
Halley-Like Method with Corrections for the Inclusion of Polynomial Zeros. Computing 62(1): 69-88 (1999) - 1998
- [j15]Miodrag S. Petkovic, Dorde Herceg, Snezana M. Ilic:
Safe convergence of simultaneous methods for polynomial zeros. Numer. Algorithms 17(3-4): 313-331 (1998) - 1997
- [j14]Miodrag S. Petkovic, Djordje Herceg
Börsch-supan-like methods: point estimation and parallel implementation. Int. J. Comput. Math. 64(3-4): 327-341 (1997) - [j13]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): 349-362 (1997) - 1996
- [j12]Miodrag S. Petkovic:
On Initial Conditions for the Convergence of Simultaneous Root Finding Methods. Computing 57(2): 163-178 (1996) - 1993
- [j11]Miodrag S. Petkovic, Lidija V. Stefanovic, Zvezdan M. Marjanovic
On theR-order of some accelerated methods for the simultaneous finding of polynomial zeros. Computing 49(4): 349-361 (1993) - [j10]Carsten Carstensen, Miodrag S. Petkovic:
On some interval methods for algebraic, exponential and trigonometric polynomials. Computing 51(3-4): 313-326 (1993) - 1992
- [j9]Miodrag S. Petkovic, Lidija V. Stefanovic, Zvezdan M. Marjanovic:
A family of simultaneous zero finding methods. Int. J. Comput. Math. 43(1-2): 111-126 (1992) - 1990
- [j8]Miodrag S. Petkovic:
Schröder-like algorithms for multiple complex zeros of a polynomial. Computing 45(1): 39-50 (1990) - [j7]Miodrag S. Petkovic, Lidija V. Stefanovic:
Forward-backward serial iteration methods for simultaneously approximating polynomial zeros. Int. J. Comput. Math. 37(3-4): 227-238 (1990)
1980 – 1989
- 1989
- [j6]Ljiljana D. Petkovic, Miodrag S. Petkovic:
On some applications of circular complex functions. Computing 41(1-2): 141-148 (1989) - 1986
- [j5]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): 249-261 (1986) - [j4]Gradimir V. Milovanovic
On computational efficiency of the iterative methods for the simultaneous approximation of polynomial zeros. ACM Trans. Math. Softw. 12(4): 295-306 (1986) - 1985
- [c1]Miodrag S. Petkovic, Zarko M. Mitrovic, Ljiljana D. Petkovic:
Arithmetic of Circular Rings. Interval Mathematics 1985: 133-142 - 1984
- [j3]Ljiljana D. Petkovic, Miodrag S. Petkovic:
On the k-th root in circular arithmetic. Computing 33(1): 27-35 (1984) - 1983
- [j2]Gradimir V. Milovanovic
On the convergence order of a modified method for simultaneous finding polynomial zeros. Computing 30(2): 171-178 (1983) - 1981
- [j1]Miodrag S. Petkovic:
On a generalisation of the root iterations for polynomial complex zeros in circular interval arithmetic. Computing 27(1): 37-55 (1981)
Coauthor Index
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