Miodrag S. Petkovic - researchr alias

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2022

Editorial In Memoriam Luc WuytackAdhemar Bultheel, Miodrag S. Petkovic, Lucia Romani. jcam, 403:113809, 2022. [doi]

2019

Construction and efficiency of multipoint root-ratio methods for finding multiple zerosMiodrag S. Petkovic, Ljiljana D. Petkovic. jcam, 351:54-65, 2019. [doi]

On optimal parameter of Laguerre's family of zero-finding methodsLjiljana D. Petkovic, Miodrag S. Petkovic, Beny Neta. ijcm, 96(4):692-707, 2019. [doi]

On the convergence of Gander's type family of iterative methods for simultaneous approximation of polynomial zerosPetko D. Proinov, Stoil I. Ivanov, Miodrag S. Petkovic. amc, 349:168-183, 2019. [doi]

2018

Traub-Gander's family for the simultaneous determination of multiple zeros of polynomialsMiodrag S. Petkovic, Ljiljana D. Petkovic. jcam, 327:362-371, 2018. [doi]

Dynamic study of Schröder's families of first and second kindMiodrag S. Petkovic, Ljiljana D. Petkovic. na, 78(3):847-865, 2018. [doi]

A note on determinantal representation of a Schröder-König-like simultaneous method for finding polynomial zerosMiodrag S. Petkovic, Ljiljana D. Petkovic. jcam, 343:481-487, 2018. [doi]

2017

On a high-order one-parameter family for the simultaneous determination of polynomial rootsLjiljana D. Petkovic, Miodrag S. Petkovic. appml, 74:94-101, 2017. [doi]

2016

On some efficient derivative-free iterative methods with memory for solving systems of nonlinear equationsMiodrag S. Petkovic, Janak Raj Sharma. na, 71(2):457-474, 2016. [doi]

New simultaneous root-finding methods with accelerated convergence for analytic functionsLidija Z. Rancic, Miodrag S. Petkovic. jcam, 296:228-236, 2016. [doi]

On a general transformation of multipoint root-solversBeong In Yun, Miodrag S. Petkovic, Jovana Dzunic. jcam, 292:136-149, 2016. [doi]

2015

On the guaranteed convergence of a cubically convergent Weierstrass-like root-finding methodMiodrag S. Petkovic, Lidija Rancic. ijcm, 92(6):1303-1312, 2015. [doi]

Hyper-power methods for the computation of outer inversesMarko D. Petkovic, Miodrag S. Petkovic. jcam, 278:110-118, 2015. [doi]

2014

On generalized biparametric multipoint root finding methods with memoryJovana Dzunic, Miodrag S. Petkovic. jcam, 255:362-375, 2014. [doi]

Improved methods for the simultaneous inclusion of multiple polynomial zerosDusan M. Milosevic, Miodrag S. Petkovic, Mimica R. Milosevic. amc, 241:332-346, 2014. [doi]

On an efficient simultaneous method for finding polynomial zerosMiodrag S. Petkovic, Ljiljana D. Petkovic, Jovana Dzunic. appml, 28:60-65, 2014. [doi]

On the guaranteed convergence of new two-point root-finding methods for polynomial zerosMiodrag S. Petkovic, Lidija Rancic. na, 67(1):187-222, 2014. [doi]

Multi-step root solvers of Traub's type in real interval arithmeticMiodrag S. Petkovic. amc, 248:430-440, 2014. [doi]

Multipoint methods for solving nonlinear equations: A surveyMiodrag S. Petkovic, Beny Neta, Ljiljana D. Petkovic, Jovana Dzunic. amc, 226:635-660, 2014. [doi]

An efficient derivative free family of fourth order methods for solving systems of nonlinear equationsJanak Raj Sharma, Himani Arora, Miodrag S. Petkovic. amc, 235:383-393, 2014. [doi]

2012

A cubically convergent Steffensen-like method for solving nonlinear equationsJovana Dzunic, Miodrag S. Petkovic. appml, 25(11):1881-1886, 2012. [doi]

Three-point methods with and without memory for solving nonlinear equationsJovana Dzunic, Miodrag S. Petkovic, Ljiljana D. Petkovic. amc, 218(9):4917-4927, 2012. [doi]

On generalized multipoint root-solvers with memoryJovana Dzunic, Miodrag S. Petkovic. jcam, 236(11):2909-2920, 2012. [doi]

A Family of Three-Point Methods of Ostrowski's Type for Solving Nonlinear EquationsJovana Dzunic, Miodrag S. Petkovic. jam, 2012, 2012. [doi]

Ostrowski-Like Method for the Inclusion of a Single Complex Polynomial ZeroMimica R. Milosevic, Miodrag S. Petkovic. rc, 16:225-238, 2012. [doi]

The improved Farmer-Loizou method for finding polynomial zerosMiodrag S. Petkovic, Lidija Rancic, Mimica R. Milosevic. ijcm, 89(4):499-509, 2012. [doi]

Efficient Halley-like Methods for the Inclusion of Multiple Zeros of PolynomialsMiodrag S. Petkovic, Mimica R. Milosevic. cmam, 12(3):351-366, 2012. [doi]

2011

A family of optimal three-point methods for solving nonlinear equations using two parametric functionsJovana Dzunic, Miodrag S. Petkovic, Ljiljana D. Petkovic. amc, 217(19):7612-7619, 2011. [doi]

Traub s accelerating generator of iterative root-finding methodsMiodrag S. Petkovic, Jovana Dzunic, Mimica R. Milosevic. appml, 24(8):1443-1448, 2011. [doi]

Remarks on On a General Class of Multipoint Root-Finding Methods of High Computational Efficiency Miodrag S. Petkovic. siamnum, 49(3):1317-1319, 2011. [doi]

Efficient methods for the inclusion of polynomial zerosMiodrag S. Petkovic, Mimica R. Milosevic, Dusan M. Milosevic. amc, 217(19):7636-7652, 2011. [doi]

On the new fourth-order methods for the simultaneous approximation of polynomial zerosMiodrag S. Petkovic, Lisija Rancic, Mimica R. Milosevic. jcam, 235(14):4059-4075, 2011. [doi]

New higher-order methods for the simultaneous inclusion of polynomial zerosMiodrag S. Petkovic, Mimica R. Milosevic, Dusan M. Milosevic. na, 58(2):179-201, 2011. [doi]

Higher Order Methods for the Inclusion of Multiple Zeros of PolynomialsMiodrag S. Petkovic, Dusan M. Milosevic. rc, 15(2):91-108, 2011. [doi]

Interpolatory multipoint methods with memory for solving nonlinear equationsMiodrag S. Petkovic, Jovana Dzunic, Beny Neta. amc, 218(6):2533-2541, 2011. [doi]

2010

Derivative free two-point methods with and without memory for solving nonlinear equationsMiodrag S. Petkovic, S. Ilic, Jovana Dzunic. amc, 217(5):1887-1895, 2010. [doi]

A class of three-point root-solvers of optimal order of convergenceLjiljana D. Petkovic, Miodrag S. Petkovic, Jovana Dzunic. amc, 216(2):671-676, 2010. [doi]

On the improved Newton-like methods for the inclusion of polynomial zerosMiodrag S. Petkovic, Dusan M. Milosevic, Ivan Petkovic. ijcm, 87(8):1726-1735, 2010. [doi]

On a General Class of Multipoint Root-Finding Methods of High Computational EfficiencyMiodrag S. Petkovic. siamnum, 47(6):4402-4414, 2010. [doi]

Accelerating generators of iterative methods for finding multiple roots of nonlinear equationsMiodrag S. Petkovic, Ljiljana D. Petkovic, Jovana Dzunic. cma, 59(8):2784-2793, 2010. [doi]

On Schröder s families of root-finding methodsMiodrag S. Petkovic, Ljiljana D. Petkovic, D. Herceg. jcam, 233(8):1755-1762, 2010. [doi]

2009

On a simultaneous method of Newton-Weierstrass type for finding all zeros of a polynomialMiodrag S. Petkovic, D. Herceg, Ivan Petkovic. amc, 215(7):2456-2463, 2009. [doi]

The self-validated method for polynomial zeros of high efficiencyMiodrag S. Petkovic. jcam, 233(4):1175-1186, 2009. [doi]

Chebyshev-like root-finding methods with accelerated convergenceMiodrag S. Petkovic, Lidija Rancic, Ljiljana D. Petkovic, Snezana M. Ilic. nla, 16(11-12):971-994, 2009. [doi]

Iterative methods based on the signum function approach for solving nonlinear equationsBeong In Yun, Miodrag S. Petkovic. na, 52(4):649-662, 2009. [doi]

2008

High order Euler-like method for the inclusion of polynomial zerosMiodrag S. Petkovic, Dusan M. Milosevic, Ljiljana D. Petkovic. amc, 196(2):762-773, 2008. [doi]

Sigmoid-like functions and root finding methodsMiodrag S. Petkovic, Beong In Yun. amc, 204(2):784-793, 2008. [doi]

A highly efficient root-solver of very fast convergenceMiodrag S. Petkovic. amc, 205(1):298-302, 2008. [doi]

On the convergence condition of generalized root iterations for the inclusion of polynomial zerosMiodrag S. Petkovic, Dusan M. Milosevic. mcs, 78(1):12-26, 2008. [doi]

2007

Construction of zero-finding methods by Weierstrass functionsMiodrag S. Petkovic, Ljiljana D. Petkovic. amc, 184(2):351-359, 2007. [doi]

A one parameter square root family of two-step root-findersMiodrag S. Petkovic, Ljiljana D. Petkovic. amc, 188(1):339-344, 2007. [doi]

Comments on the Basto-Semiao-Calheiros root finding methodMiodrag S. Petkovic. amc, 184(2):143-148, 2007. [doi]

A new differential transformation approach for two-dimensional Volterra integral equationsMiodrag S. Petkovic, Ljiljana D. Petkovic. ijcm, 84(4):505-513, 2007. [doi]

A note on some recent methods for solving nonlinear equationsLjiljana D. Petkovic, Miodrag S. Petkovic. amc, 185(1):368-374, 2007. [doi]

2006

On a new family of simultaneous methods with corrections for the inclusion of polynomial zerosMiodrag S. Petkovic, Dusan M. Milosevic. ijcm, 83(3):299-317, 2006. [doi]

A family of root-finding methods with accelerated convergenceMiodrag S. Petkovic, Lisija Rancic. cma, 51(6-7):999-1010, 2006. [doi]

On the convergence of the sequences of Gerschgorin-like disksMiodrag S. Petkovic, Ljiljana D. Petkovic. na, 42(3-4):363-377, 2006. [doi]

2005

2004

Ostrowski-Like Method with Corrections for the Inclusion of Polynomial ZerosMiodrag S. Petkovic, Dusan M. Milosevic. rc, 10(6):437-467, 2004. [doi]

2003

Higher-order simultaneous methods for the determination of polynomial multiple zerosMiodrag S. Petkovic, Ljiljana D. Petkovic, L. Ranic. ijcm, 80(11):1407-1427, 2003. [doi]

1999

Halley-Like Method with Corrections for the Inclusion of Polynomial ZerosMiodrag S. Petkovic. computing, 62(1):69-88, 1999. [doi]

1998

Safe convergence of simultaneous methods for polynomial zerosMiodrag S. Petkovic, Dorde Herceg, Snezana M. Ilic. na, 17(3-4):313-331, 1998. [doi]

1997

Slope Methods of Higher Order for the Inclusion of Complex Roots of PolynomialsLjiljana D. Petkovic, Slobodan Trickovic, Miodrag S. Petkovic. rc, 3(4):349-362, 1997. [doi]

Börsch-supan-like methods: point estimation and parallel implementationMiodrag S. Petkovic, Djordje Herceg. ijcm, 64(3-4):327-341, 1997. [doi]

1996

On Initial Conditions for the Convergence of Simultaneous Root Finding MethodsMiodrag S. Petkovic. computing, 57(2):163-178, 1996. [doi]

1993

R-order of some accelerated methods for the simultaneous finding of polynomial zerosMiodrag S. Petkovic, Lidija V. Stefanovic, Zvezdan M. Marjanovic. computing, 49(4):349-361, 1993. [doi]

1992

A family of simultaneous zero finding methodsMiodrag S. Petkovic, Lidija V. Stefanovic, Zvezdan M. Marjanovic. ijcm, 43(1-2):111-126, 1992. [doi]

1990

Schröder-like algorithms for multiple complex zeros of a polynomialMiodrag S. Petkovic. computing, 45(1):39-50, 1990. [doi]

Forward-backward serial iteration methods for simultaneously approximating polynomial zerosMiodrag S. Petkovic, Lidija V. Stefanovic. ijcm, 37(3-4):227-238, 1990. [doi]

1989

On some applications of circular complex functionsLjiljana D. Petkovic, Miodrag S. Petkovic. computing, 41(1-2):141-148, 1989. [doi]

1986

On a second order method for the simultaneous inclusion of polynomial complex zeros in rectangular arithmeticMiodrag S. Petkovic, Lidija V. Stefanovic. computing, 36(3):249-261, 1986. [doi]

1985

Arithmetic of Circular RingsMiodrag S. Petkovic, Zarko M. Mitrovic, Ljiljana D. Petkovic. db-workshops 1986: 133-142

1984

On the k-th root in circular arithmeticLjiljana D. Petkovic, Miodrag S. Petkovic. computing, 33(1):27-35, 1984. [doi]

1981

On a generalisation of the root iterations for polynomial complex zeros in circular interval arithmeticMiodrag S. Petkovic. computing, 27(1):37-55, 1981. [doi]

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