Publications / Научни публикации
Publication list / Списък с публикации:
1. Petko D. Proinov, Stoil I. Ivanov,
A theorem for local convergence of Halley's method for finding polynomial zeros simultaneously, Scientific Researches of the Union of Scientists in Bulgaria--Plovdiv, Ser. B, 14, 173 - 176 (2012)
2. Petko D. Proinov, Stoil I. Ivanov,
Convergence of Schroder’s method for polynomial zeros of unknown multiplicity, C. R. Bulg. Acad. Sci. 66, 1073 - 1080 (2013)
3. Ekaterina S. Pisanova, Stoil I. Ivanov,
On the critical behavior of the inverse susceptibility of a model of structural phase transitions, Bulg. J. Phys. 40, 159 - 164 (2013)
4. Ekaterina S. Pisanova, Stoil I. Ivanov,
On the critical specific heat capacity of a classical anharmonic crystal with long-range interaction, J. Phys.: Conf. Ser. 558, 012019 (2014)
http://iopscience.iop.org/article/10.1088/1742-6596/558/1/012019/pdf
5. Petko D. Proinov, Stoil I. Ivanov,
On the convergence of Halley’s method for multiple polynomial zeros, Mediterranean J. Math. 12, 555 - 572 (2015) http://rdcu.be/GGhJ
6. Ekaterina S. Pisanova, Stoil I. Ivanov,
Non-universal critical properties of the ferromagnetic mean spherical model with long-range interaction,Bulg. Chem. Commun. 47 (Special Issue B), 269-274 (2015)
http://bcc.bas.bg/BCC_Volumes/Volume_47_Special_B_2015/BCC-47-SI-B-41.pdf
7. Petko D. Proinov, Stoil I. Ivanov,
On the convergence of Halley’s method for simultaneous computation of polynomial zeros, J. Numer. Math. 23, 379 - 394 (2015)
8. Stoil I. Ivanov,
On the convergence of Chebyshev’s method for multiple polynomial zeros, Results. Math. 69, 93-103 (2016)
9. Veselina K. Kyncheva, Viktor V. Yotov, Stoil I. Ivanov,
A theorem for local convergence of Schroder’s method for simultaneous finding polynomial zeros of unknown multiplicity, In: Renewable Energy & Innovative Technologies: Conference Proceedings, 2016, pp. 192-193. https://pdfs.semanticscholar.org/9c1d/fed9c5cb1c30d6860b334b65defdfa694f70.pdf
10. Stoil I. Ivanov,
A unified semilocal convergence analysis of a family of iterative algorithms for computing all zeros of a polynomial simultaneously, Numer. Algor. 75, 1193–1204 (2017)
11. Veselina K. Kyncheva, Viktor V. Yotov, Stoil I. Ivanov,
Convergence of Newton, Halley and Chebyshev iterative methods as methods for simultaneous determination of multiple polynomial zeros, Appl. Numer. Math. 112, 146–154 (2017)
12. Plamena I. Marcheva, Stoil I. Ivanov,
On the geodesics in Bondi-Gold-Hoyle universe model, J. Phys. Technol. 1, 3–5 (2017)
13. Veselina K. Kyncheva, Viktor V. Yotov, Stoil I. Ivanov,
On the convergence of Schröder’s method for the simultaneous computation of polynomial zeros of unknown multiplicity, Calcolo. 54(4), 1199-1212 (2017) http://rdcu.be/GUEM
14. Plamena I. Marcheva, Diana Y. Dakova, Stoil I. Ivanov,
Unifying the analytical solutions of the seodesic equations in Bondi-Gold-Hoyle universe model, Chemistry: Bulg. J. Sci. Educ. 27(4), 511-517 (2018)
15. Petko D. Proinov, Stoil I. Ivanov,
Semilocal convergence of Sakurai-Torii-Sugiura method for simultaneous approximation of polynomial zeros, in: Y. Simsek, ed., Proceedings Book of MICOPAM2018, Antalya, Turkey, 2018, ISBN 978-86-6016-036-4, pp. 94-98.
https://scholar.google.bg/scholar?oi=bibs&cluster=5861520848124309104&btnI=1&hl=bg
16. 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. Comp. 349, 168–183 (2019)
https://www.sciencedirect.com/science/article/abs/pii/S0096300318311020
17. Petko D. Proinov, Stoil I. Ivanov,
Convergence analysis of Sakurai-Torii-Sugiura iterative method for simultaneous approximation of polynomial zeros, J Comput. Appl. Math. 357, 56-70 (2019)
https://www.sciencedirect.com/science/article/pii/S0377042719300949
18. Petko D. Proinov, Stoil I. Ivanov,
Local and semilocal convergence of an accelerated Sakurai-Torii-Sugiura method with Newton's correction, in: M. Bayram and A. Secer, ed., ICAAMM2019-Proceedings Book, Istanbul, Turkey, 2019, ISBN 978-605-69181-0-0, pp. 31-36.
19. Petko D. Proinov, Stoil I. Ivanov,
On the local convergence of Sakurai-Torii-Sugiura method for simultaneous approximation of polynomial zeros, AIP Conference Proceedings 2116, Article Nо. 450027, 3 pages (2019).
20. Plamena I. Marcheva, Stoil I. Ivanov,
Convergence Analysis of a Modified Weierstrass Method for the Simultaneous Determination of Polynomial Zeros, Symmetry 12, Article Nо. 1408, 19 pages (2020).
21. Stoil I. Ivanov,
General Local Convergence Theorems about the Picard Iteration in Arbitrary Normed Fields with Applications to Super–Halley Method for Multiple Polynomial Zeros, Mathematics 8(9), Article Nо. 1599, 11 pages (2020).
22. Stoil I. Ivanov,
Unified Convergence Analysis of Chebyshev–Halley Methods for Multiple Polynomial Zeros, Mathematics 10, Article Nо. 135, 12 pages (2022).
23. Plamena I. Marcheva, Stoil I. Ivanov,
On the semilocal convergence of a modified Weierstrass method for the simultaneous computation of polynomial zeros, AIP Conference Proceedings 2425, Article Nо. 420012, 4 pages (2022).
24. Stoil I. Ivanov,
A general approach to the study of the convergence of Picard iteration with an application to Halley’s method for multiple zeros of analytic functions, J. Math. Anal. Appl. 513(2), Article Nо. 126238, 12 pages (2022).
24. Stoil I. Ivanov,
A general approach to the study of the convergence of Picard iteration with an application to Halley’s method for multiple zeros of analytic functions, J. Math. Anal. Appl. 513(2), Article Nо. 126238, 12 pages (2022).
24. Stoil I. Ivanov,
A general approach to the study of the convergence of Picard iteration with an application to Halley’s method for multiple zeros of analytic functions, J. Math. Anal. Appl. 513(2), Article Nо. 126238, 12 pages (2022).
24. Stoil I. Ivanov,
A general approach to the study of the convergence of Picard iteration with an application to Halley’s method for multiple zeros of analytic functions, J. Math. Anal. Appl. 513(2), Article Nо. 126238, 12 pages (2022).
25. Viktor V. Yotov, Jivka Marovska, Valentin Turiyski and Stoil I. Ivanov,
A New Random Positioning Machine Modification Applied for Microgravity Simulation in Laboratory Experiments with Rats, Inventions. 7(3), Article Nо. 85, 16 pages (2022).
26. Tsonyo M. Pavkov, Valentin G. Kabadzhov, Ivan K. Ivanov and Stoil I. Ivanov,
Local Convergence Analysis of a One Parameter Family of Simultaneous Methods with Applications to Real-World Problems, Algorithms. 16(2), Article Nо. 103, 18 pages (2023).
27. Petko D. Proinov, Stoil I. Ivanov,
A new family of Sakurai–Torii–Sugiura type iterative methods with high order of convergence, J Comput. Appl. Math. 436, Article Nо. 115428, 16 pages (2024).
28. Stoil I. Ivanov,
Families of high-order simultaneous methods with several corrections, Numer. Algor. (2024)