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## Kyurkchiev, Nikolaĭ Veselinov

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 Author ID: kyurkchiev.nikolay-v Published as: Kyurkchiev, Nikolay; Kjurkchiev, N.; Kyurkchiev, N.; Kyurkchiev, N. V.; Kyurkchiev, Nikolaj V.; Kyurkchiev, Nikolaj; Kjurkchiev, Nikolay; Kyurkchiev, Nikolay V.; Kjurkchiev, Nikolai V.; Kjurkchiev, Nikolai; Kyrkchiev, Nikolay; Kyurkchiev, Nikola; Kjurkchiev, N. V.; Kyurkhciev, N. External Links: Math-Net.Ru · ORCID · ResearchGate · dblp
 Documents Indexed: 110 Publications since 1977, including 1 Book Reviewing Activity: 115 Reviews
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#### Co-Authors

 24 single-authored 29 Iliev, Anton I. 16 Andreev, Andreĭ Stefanov 12 Markov, Svetoslav Marinovich 6 Slavova, Angela 5 Khristov, Vladimir Kh. 5 Petkov, Milko G. 3 Ivanov, Radostin P. 3 Petković, Miodrag S. 3 Zheng, Shiming 2 Anguelov, Roumen 2 Atanasova, Liliya 2 Atanassova, Lilija C. 2 Mahdi, K. 2 Makrelov, Il. V. 2 Tashev, Spas P. 2 Valchanov, Nikola 2 Yamamoto, Tetsuro 1 Borisov, Milen K. 1 Dzhukanova, Teodora 1 Fang, Qing 1 Herzberger, Jürgen P. 1 Kanno, Sachio 1 Mincheva, Maya 1 Popov, Vasil Atanasov 1 Sendov, Blagovest Khristov 1 Tamburov, S. G. 1 Toceva, Dilyana 1 Zaharieva, Desislava 1 Zaharieva, Dessislava
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#### Serials

 28 Doklady Bolgarskoĭ Akademii Nauk 11 Serdica 6 Mathematica Balkanica. New Series 6 Serdica Journal of Computing 6 Godishnik na Sofiskiya Universitet. Fakultet po Matematika i Mekhanika 4 BIT 4 Nauchni Trudove. Matematika 4 Biomath 4 PLISKA. Studia Mathematica 3 PLISKA. Studia Mathematica Bulgarica 2 Computers & Mathematics with Applications 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Computing 2 Journal of Computational and Applied Mathematics 2 Facta Universitatis. Series Mathematics and Informatics 2 Japan Journal of Industrial and Applied Mathematics 2 Numerical Mathematics 2 Journal of Mathematical Chemistry 2 International Journal of Pure and Applied Mathematics 1 Mathematical Methods in the Applied Sciences 1 Mathematics and Computers in Simulation 1 Godishnik na Sofiĭskiya Universitet “Sv. Kliment Okhridski”. Fakultet po Matematika i Informatika 1 Serdica Mathematical Journal
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#### Fields

 90 Numerical analysis (65-XX) 49 Real functions (26-XX) 33 Field theory and polynomials (12-XX) 28 Functions of a complex variable (30-XX) 12 Approximations and expansions (41-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Biology and other natural sciences (92-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Statistics (62-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

41 Publications have been cited 140 times in 76 Documents Cited by Year
Numerical solution of polynomial equations. Zbl 0925.65086
Sendov, Bl.; Andreev, Andrei; Kjurkchiev, N.
1994
On some methods for the simultaneous determination of polynomial zeros. Zbl 0859.65047
Kanno, Sachio; Kjurkchiev, Nikolai V.; Yamamoto, Tetsuro
1996
Initial approximations and root finding methods. Zbl 0904.65047
Kyurkchiev, N. V.
1998
Initial approximations in Euler-Chebyshev’s method. Zbl 0844.65043
Kjurkchiev, N.
1995
Some remarks on Dvorcuk’s root-finding method. Zbl 0809.65043
Kjurkchiev, N.; Mahdi, K.
1994
On the R-order of convergence of a family of methods for simultaneous extraction of part of all roots of algebraic polynomials. Zbl 1017.65045
Kyurkchiev, N.; Iliev, A.
2002
A note on the “constructing” of nonstationary methods for solving nonlinear equations with raised speed of convergence. Zbl 1194.65074
Kyurkchiev, Nikolay; Iliev, Anton
2009
On some multipoint methods arising from optimal in the sense of Kung-Traub algorithms. Zbl 1368.65071
Kyurkchiev, Nikolay; Iliev, Anton
2013
On the approximation of the cut and step functions by logistic and Gompertz functions. Zbl 1369.41025
Iliev, Anton; Kyurkchiev, Nikolay; Markov, Svetoslav
2015
Generalization of Weierstrass-Dochev method for simultaneous extraction of only a part of all roots of algebraic polynomials. Zbl 1007.65037
Iliev, A.; Kyurkchiev, N.
2002
On some modifications of the Newton method for the approximate solution of algebraic equations. Zbl 0528.65024
Tashev, Spas P.; Kyurkchiev, Nikolaj
1983
On the Hausdorff distance between the Heaviside step function and Verhulst logistic function. Zbl 1349.41025
Kyurkchiev, Nikolay; Markov, Svetoslav
2016
Some methods for simultaneous extraction of only a part of all roots of algebraic polynomials. II. Zbl 1016.65027
Iliev, A.; Kyurkchiev, N.
2002
Ehrlich’s methods with a raised speed of convergence. Zbl 0625.65037
Kjurkchiev, N.; Andreev, A.
1987
Iterative methods for computation of all multiple roots of an algebraic polynomial. Zbl 0745.65031
Kyurkchiev, Nikolaj; Andreev, Andrej; Popov, Vasil
1988
A certain method of simultaneous approximate computation of all roots of an algebraic equation. Zbl 0547.65039
Kyurkchiev, N. V.; Tashev, S. P.
1981
On the approximation of the generalized cut function of degree $$p+1$$ by smooth sigmoid functions. Zbl 1387.41009
Kyurkchiev, Nikolay; Markov, Svetoslav
2015
The behaviour of approximations of the SOR Weierstrass method. Zbl 0868.65028
Kjurkchiev, N.; Petković, M. S.
1996
A note on the divergent starting points for Euler-Chebyshev’s type methods. Zbl 0834.65036
Kjurkchiev, N.; Mahdi, K.
1994
On the critical points of Maehly-Aberth-Ehrlich method. Global convergence properties. Zbl 1217.65090
Valchanov, Nikola; Iliev, Anton; Kyurkchiev, Nikolay
2010
On Halley-like algorithms with higher order of convergence for simultaneous approximation of multiple roots of polynomials. Zbl 0724.65046
Kyurkchiev, N.; Andreev, A.
1990
Two interval methods for algebraic equations with real roots. Zbl 0555.65027
Kyurkchiev, Nikolaj V.; Markov, Svetoslav M.
1983
On the chemical meaning of some growth models possessing Gompertzian-type property. Zbl 1406.92795
Anguelov, Roumen; Borisov, Milen; Iliev, Anton; Kyurkchiev, Nikolay; Markov, Svetoslav
2018
Initial approximations in Wang-Zheng’s root-finding method. Zbl 0862.65030
Zheng, S.; Kjurkchiev, N.
1996
A note on the convergence of the Weierstrass SOR method for polynomial roots. Zbl 0874.65036
Petković, M. S.; Kjurkchiev, N.
1997
A note on the Le Verrier-Fadeev’s method. Zbl 0848.65038
Kjurkchiev, N.
1996
A note on the globally convergent properties of the Weierstrass–Dochev method. Zbl 1031.65066
Hristov, Vladimir H.; Kyurkchiev, Nikolay V.
2002
Methods for computing all roots of a polynomial simultaneously. Known results and open problems. Zbl 1038.65046
Atanassova, L.; Kyurkchiev, N.; Yamamoto, T.
2003
A note on the convergence of the SOR-like Weierstrass method. Zbl 1042.65035
Kyurkchiev, N.
2003
On some iterative algorithms for polynomial factorization. Zbl 1265.65091
Toceva, Dilyana; Kyurkchiev, Nikolay; Iliev, Anton
2011
On a generalization of the Euler-Chebyshev method for simultaneous extraction of only a part of all roots of polynomials. Zbl 1123.65038
Iliev, Anton; Kyurkchiev, Nikolay; Fang, Qing
2006
A general approach for nonlinear systems. Zbl 1224.65137
Kyurkhciev, N.; Iliev, A.
2007
On the numerical solution of the general kinetic “$$K$$-angle” reaction system. Zbl 1356.92099
Kyurkchiev, Nikolay; Markov, Svetoslav
2016
A refinement of some overrelaxation algorithms for solving a system of linear equations. Zbl 1361.65017
Kyurkchiev, Nikolay; Iliev, Anton
2013
Some properties of the Blumberg’s hyper-log-logistic curve. Zbl 1406.92485
Anguelov, Roumen; Kyurkchiev, Nikolay; Markov, Svetoslav
2018
On some modifications of L. Ehrlich’s method for the approximate solution of algebraic equations. Zbl 0564.65032
Kyurkchiev, Nikolaj V.
1983
On the generalization of the Alefeld-Herzberger’s method. Zbl 0753.65040
Kjurkchiev, N.; Andreev, A.
1992
Note on the estimation of the order of convergence of some iterative methods. Zbl 0756.65073
Kjurkchiev, N.
1992
On the orders of convergence of some classes of iteration methods. (Über die Konvergenzordnungen einiger Klassen von Iterationsverfahren.) Zbl 0776.65026
Kjurkchiev, N.
1991
Some methods for simultaneous extraction of a part of all multiple roots of algebraic polynomials. Zbl 1086.65049
Iliev, A.; Kyurkchiev, N.
2005
A note on the convergence of non-stationary finite difference analogues. Zbl 1102.26003
Hristov, V.; Iliev, A. I.; Kyurkchiev, N. V.
2005
On the chemical meaning of some growth models possessing Gompertzian-type property. Zbl 1406.92795
Anguelov, Roumen; Borisov, Milen; Iliev, Anton; Kyurkchiev, Nikolay; Markov, Svetoslav
2018
Some properties of the Blumberg’s hyper-log-logistic curve. Zbl 1406.92485
Anguelov, Roumen; Kyurkchiev, Nikolay; Markov, Svetoslav
2018
On the Hausdorff distance between the Heaviside step function and Verhulst logistic function. Zbl 1349.41025
Kyurkchiev, Nikolay; Markov, Svetoslav
2016
On the numerical solution of the general kinetic “$$K$$-angle” reaction system. Zbl 1356.92099
Kyurkchiev, Nikolay; Markov, Svetoslav
2016
On the approximation of the cut and step functions by logistic and Gompertz functions. Zbl 1369.41025
Iliev, Anton; Kyurkchiev, Nikolay; Markov, Svetoslav
2015
On the approximation of the generalized cut function of degree $$p+1$$ by smooth sigmoid functions. Zbl 1387.41009
Kyurkchiev, Nikolay; Markov, Svetoslav
2015
On some multipoint methods arising from optimal in the sense of Kung-Traub algorithms. Zbl 1368.65071
Kyurkchiev, Nikolay; Iliev, Anton
2013
A refinement of some overrelaxation algorithms for solving a system of linear equations. Zbl 1361.65017
Kyurkchiev, Nikolay; Iliev, Anton
2013
On some iterative algorithms for polynomial factorization. Zbl 1265.65091
Toceva, Dilyana; Kyurkchiev, Nikolay; Iliev, Anton
2011
On the critical points of Maehly-Aberth-Ehrlich method. Global convergence properties. Zbl 1217.65090
Valchanov, Nikola; Iliev, Anton; Kyurkchiev, Nikolay
2010
A note on the “constructing” of nonstationary methods for solving nonlinear equations with raised speed of convergence. Zbl 1194.65074
Kyurkchiev, Nikolay; Iliev, Anton
2009
A general approach for nonlinear systems. Zbl 1224.65137
Kyurkhciev, N.; Iliev, A.
2007
On a generalization of the Euler-Chebyshev method for simultaneous extraction of only a part of all roots of polynomials. Zbl 1123.65038
Iliev, Anton; Kyurkchiev, Nikolay; Fang, Qing
2006
Some methods for simultaneous extraction of a part of all multiple roots of algebraic polynomials. Zbl 1086.65049
Iliev, A.; Kyurkchiev, N.
2005
A note on the convergence of non-stationary finite difference analogues. Zbl 1102.26003
Hristov, V.; Iliev, A. I.; Kyurkchiev, N. V.
2005
Methods for computing all roots of a polynomial simultaneously. Known results and open problems. Zbl 1038.65046
Atanassova, L.; Kyurkchiev, N.; Yamamoto, T.
2003
A note on the convergence of the SOR-like Weierstrass method. Zbl 1042.65035
Kyurkchiev, N.
2003
On the R-order of convergence of a family of methods for simultaneous extraction of part of all roots of algebraic polynomials. Zbl 1017.65045
Kyurkchiev, N.; Iliev, A.
2002
Generalization of Weierstrass-Dochev method for simultaneous extraction of only a part of all roots of algebraic polynomials. Zbl 1007.65037
Iliev, A.; Kyurkchiev, N.
2002
Some methods for simultaneous extraction of only a part of all roots of algebraic polynomials. II. Zbl 1016.65027
Iliev, A.; Kyurkchiev, N.
2002
A note on the globally convergent properties of the Weierstrass–Dochev method. Zbl 1031.65066
Hristov, Vladimir H.; Kyurkchiev, Nikolay V.
2002
Initial approximations and root finding methods. Zbl 0904.65047
Kyurkchiev, N. V.
1998
A note on the convergence of the Weierstrass SOR method for polynomial roots. Zbl 0874.65036
Petković, M. S.; Kjurkchiev, N.
1997
On some methods for the simultaneous determination of polynomial zeros. Zbl 0859.65047
Kanno, Sachio; Kjurkchiev, Nikolai V.; Yamamoto, Tetsuro
1996
The behaviour of approximations of the SOR Weierstrass method. Zbl 0868.65028
Kjurkchiev, N.; Petković, M. S.
1996
Initial approximations in Wang-Zheng’s root-finding method. Zbl 0862.65030
Zheng, S.; Kjurkchiev, N.
1996
A note on the Le Verrier-Fadeev’s method. Zbl 0848.65038
Kjurkchiev, N.
1996
Initial approximations in Euler-Chebyshev’s method. Zbl 0844.65043
Kjurkchiev, N.
1995
Numerical solution of polynomial equations. Zbl 0925.65086
Sendov, Bl.; Andreev, Andrei; Kjurkchiev, N.
1994
Some remarks on Dvorcuk’s root-finding method. Zbl 0809.65043
Kjurkchiev, N.; Mahdi, K.
1994
A note on the divergent starting points for Euler-Chebyshev’s type methods. Zbl 0834.65036
Kjurkchiev, N.; Mahdi, K.
1994
On the generalization of the Alefeld-Herzberger’s method. Zbl 0753.65040
Kjurkchiev, N.; Andreev, A.
1992
Note on the estimation of the order of convergence of some iterative methods. Zbl 0756.65073
Kjurkchiev, N.
1992
On the orders of convergence of some classes of iteration methods. (Über die Konvergenzordnungen einiger Klassen von Iterationsverfahren.) Zbl 0776.65026
Kjurkchiev, N.
1991
On Halley-like algorithms with higher order of convergence for simultaneous approximation of multiple roots of polynomials. Zbl 0724.65046
Kyurkchiev, N.; Andreev, A.
1990
Iterative methods for computation of all multiple roots of an algebraic polynomial. Zbl 0745.65031
Kyurkchiev, Nikolaj; Andreev, Andrej; Popov, Vasil
1988
Ehrlich’s methods with a raised speed of convergence. Zbl 0625.65037
Kjurkchiev, N.; Andreev, A.
1987
On some modifications of the Newton method for the approximate solution of algebraic equations. Zbl 0528.65024
Tashev, Spas P.; Kyurkchiev, Nikolaj
1983
Two interval methods for algebraic equations with real roots. Zbl 0555.65027
Kyurkchiev, Nikolaj V.; Markov, Svetoslav M.
1983
On some modifications of L. Ehrlich’s method for the approximate solution of algebraic equations. Zbl 0564.65032
Kyurkchiev, Nikolaj V.
1983
A certain method of simultaneous approximate computation of all roots of an algebraic equation. Zbl 0547.65039
Kyurkchiev, N. V.; Tashev, S. P.
1981
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#### Cited by 83 Authors

 14 Kyurkchiev, Nikolaĭ Veselinov 12 Proinov, Petko D. 10 Petković, Miodrag S. 10 Soleymani, Fazlollah 5 Costarelli, Danilo 4 Iliev, Anton I. 4 Nedzhibov, Gyurhan H. 4 Vinti, Gianluca 3 Herceg, Đorđe D. 3 Lotfi, Taher 3 Markov, Svetoslav Marinovich 3 Mir, Nazir Ahmad 3 Petkova, Milena D. 3 Petković, Ljiljana D. 3 Rančić, Lidija Z. 3 Vanani, Solat Karimi 2 Akram, Saima 2 Borisov, Milen K. 2 Ilić, Snežana M. 2 Ivanov, Stoil I. 2 Kyncheva, Veselina K. 2 Rafiq, Naila 2 Shams, Mudassir 2 Shateyi, Stanford 2 Vasileva, Maria T. 2 Yamamoto, Tetsuro 2 Yotov, Viktor V. 1 Abbas, Syed 1 Afghani, Abtin 1 Agüero, Antonio 1 Almatroud, A. Othman 1 Andreev, Andreĭ Stefanov 1 Atanassov, Emanouil I. 1 Bakhtiari, Parisa 1 Batra, Prashant 1 Beschkov, Venko 1 Bini, Dario Andrea 1 Cantarini, Marco 1 Cholakov, Slav I. 1 Cordero, Alicia 1 Coroianu, Lucian C. 1 de Terán, Fernando 1 Diloné, Manuel A. 1 Dimitrova, Neli S. 1 Dimov, Ivan Todor 1 Dopico, Froilán M. 1 Fang, Qing 1 Ferrer, Ignacio 1 Gal, Sorin Gheorghe 1 García-Olivo, Martín 1 Gutiérrez, José Manuel 1 Hafayed, Mokhtar 1 Herceg, Dragoslav 1 Herzberger, Jürgen P. 1 Higham, Nicholas J. 1 Hung, Kuo-Chih 1 Jabeen, Iffat 1 Kanno, Sachio 1 Khaksar Haghani, F. 1 Khan, Majid Ali 1 Khomovsky, Dmitry I. 1 Khristov, Vladimir Kh. 1 Kiliçman, Adem 1 Lázaro, Mario 1 Mahdi, K. 1 Mahdiani, Katayoun 1 Milošević, Mimica R. 1 Muneer, Rifka 1 Noori, Z. 1 Paghaleh, M. Jamali 1 Pérez, Javier J. 1 Petkov, Milko G. 1 Petković, Ivan 1 Sargolzaei, Parviz 1 Sharifi, Mahdi 1 Sharifi, Somayeh 1 Spigler, Renato 1 Tisseur, Françoise 1 Tohidi, Emran 1 Torregrosa Sanchez, Juan Ramón 1 Tričković, Slobodan B. 1 Tyagi, Swati 1 Vassileva, María P.
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#### Cited in 32 Serials

 8 Journal of Computational and Applied Mathematics 6 Applied Mathematics and Computation 6 Japan Journal of Industrial and Applied Mathematics 5 BIT 5 Journal of Applied Mathematics 4 Computers & Mathematics with Applications 3 Linear Algebra and its Applications 3 Journal of Mathematical Chemistry 3 Mathematical Problems in Engineering 2 Calcolo 2 Computing 2 Journal of Complexity 2 Applied Mathematics Letters 2 Mathematical and Computer Modelling 2 Numerical Algorithms 2 International Journal of Computer Mathematics 2 Mediterranean Journal of Mathematics 1 Bulletin of the Australian Mathematical Society 1 Mathematics of Computation 1 Proceedings of the American Mathematical Society 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Ricerche di Matematica 1 Applied Numerical Mathematics 1 Computational Mathematics and Mathematical Physics 1 Applied Mathematical Modelling 1 Computational and Applied Mathematics 1 Journal of Inequalities and Applications 1 Discrete Dynamics in Nature and Society 1 Fixed Point Theory and Applications 1 Journal of Nonlinear Science and Applications 1 ISRN Applied Mathematics
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#### Cited in 21 Fields

 66 Numerical analysis (65-XX) 22 Field theory and polynomials (12-XX) 17 Real functions (26-XX) 14 Functions of a complex variable (30-XX) 7 Operator theory (47-XX) 6 Approximations and expansions (41-XX) 4 Biology and other natural sciences (92-XX) 3 Ordinary differential equations (34-XX) 2 Commutative algebra (13-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Special functions (33-XX) 2 Partial differential equations (35-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Information and communication theory, circuits (94-XX)