Проф. д-р Вежди Исмаилов Хасанов
Факултет: Факултет по математика и информатика
Катедра: ИКОНОМИКА И МАТЕМАТИЧЕСКО МОДЕЛИРАНЕ
Кабинет: Корпус 3, стая 408
Телефон: 054 830495 вътр. 343 К3
Email: v.hasanov@shu.bg
Приемно време: вторник 10:00-12:00
2004 | Решения и пертурбационна теория на нелинейни матрични уравнения, Дисертация, 2004 г. |
2024 | Hasanov, V., Iterative Methods for Solving a Linear Matrix Equation, Annual of Konstantin Preslavsky University of Shumen, Vol. XXV С, (2024), pp. 3-14. (In Bulgarian) ISSN 1311-834X | 2024 | Nashine, H.K., Shil, S., Hasanov, V., On a pair of nonlinear matrix equations, TWMS Journal of Pure and Applied Mathematics, 15(2) (2024), pp. 183-202. (WoS) | 2021 | Hasanov, V.I., Positive definite solutions a linearly perturbed matrix equation, Annals of the Academy of Romanian Scientists: Series on Mathematics and its Applications, 13 (2021), pp. 5-19. ISSN:2066-6594, Scopus, MathSciNet [], Zentralblatt MATH [] | 2020 | Hasanov, V., Perturbation bounds for the matrix equation X+A^*widehat{X}{}^{-1}A=Q, Applied and Computational Mathematics, 19(1), (2020), pp. 20-33. ISSN 1683-3511, WoS | 2020 | Ali, A., Hasanov, V., An iterative method for solving the matrix equation X-A^* XA-B^* X^{-1} B= I , Mathematical and Software Engineering, 6 (1), 2020, pp. 1-6. ISSN: 2367-7449 | 2019 | Hasanov, V., Necessary and sufficient condition for the existence of a positive definite solution of a matrix equation, Annual of Konstantin Preslavsky University of Shumen, Vol. XX C, (2019), pp. 13-19. ISSN 1311-834X | 2018 | Borisova, D.I., Hasanov, V.I., On some perturbation bounds for a matrix equation from interpolation problems, Annals of the Academy of Romanian Scientists: Series on Mathematics and its Applications, 10(2), (2018), pp. 297-313. ISSN:2066-5997, Scopus (Q3) | 2018 | Hasanov, V., On the matrix equation X + A^*X^{-1} A - B^*X^{-1}B=I, Linear and Multilinear Algebra, 66(9), (2018), pp. 1783-1798. ISSN:0308-1087, WoS, Scopus (Q2) | 2017 | Hasanov, V.I., Ali, A.A., On convergence of three iterative methods for solving of the matrix equation X+ A^*X^{-1}A+ B^*X^{-1}B = Q, Computational and Applied Mathematics, 36 (2017), pp. 79-87. ISSN:0101-8205, WoS, Scopus (Q3) | 2017 | Hasanov, V.I., On perturbation estimates for the extreme solution of a matrix equation, Annals of the Academy of Romanian Scientists: Series on Mathematics and its Applications, 9 (2017), pp. 74-88. ISSN:2066-5997, Scopus (Q4) | 2017 | Hasanov, V.I., Borisova, D.I., Perturbation estimates for the maximal solution of a nonlinear matrix equation, Annals of the Academy of Romanian Scientists: Series on Mathematics and its Applications, 9 (2017), pp. 28-43. ISSN:2066-5997, Scopus (Q4) | 2017 | Hasanov, V.I., On a perturbation estimate for the extreme solution of the matrix equation \(X-A^*\widehat{X}{}^{-1}A=Q\), Innovativity in Modeling and Analytics Journal of Research, Vol. 2, (2017), pp. 1-11. ISSN 2534-9619 | 2016 | Борисова, Д.И., В. И. Хасанов, Пертурбационни оценки за максималното решение на матричното уравнение \(X+A^*X^{-1}A+B^*X^{-1}B=Q\), МАТТЕХ 2016, Сборник научни трудове, Том 1, (2016), сс. 102-109. | 2016 | Hasanov, V.I., S.A. Hakkaev, Convergence analysis of some iterative methods for a nonlinear matrix equation, Computers & Mathematics with Applications, 72 (4), (2016), pp. 1164-1176. ISSN:0898-1221, WoS, Scopus (Q1) | 2015 | Ali, A.A., V.I. Hasanov, On some sufficient conditions for the existence of a positive definite solution of the matrix equation \(X+A^*X^{-1}A-B^*X^{-1}B=I\), AIP Conference Proceedings, Volume 1690, 060001, (2015). ISSN:0094-243X, WoS(Conference Proceedings Citation Index- Science), Scopus | 2015 | Hasanov, V., S. Hakkaev, Newtons method for a nonlinear matrix equation, Comptes rendus de LAcademie bulgare des Sciences, 68 (8), (2015), pp. 973-982. ISSN:1310-1331, WoS (Q4), Scopus (Q3) | 2014 | Ivanov, I.G., V.I. Hasanov, Perturbation Estimates for the Two Kinds of Algebraic Riccati Equations Arising in a Stochastic Control, Journal of Numerical Mathematics and Stochastics, 6 (2014), pp. 1-20. ISSN 2151-2302, MathSciNet [MR3278995], Zentralblatt MATH [Zbl 1360.93393] | 2014 | Hasanov, V.I., Perturbation Theory for Linearly Perturbed Algebraic Riccati Equations, Numerical Functional Analysis and Optimization, 35:12, (2014), pp. 1532-1559. ISSN:0163-0563, WoS (Q3), Scopus (Q2) | 2012 | Nedzhibov, G.H., V.I. Hasanov, Newton-Secant method for solving operator equations, Mathematica Balkanica. New Series, 26(3-4), (2012), pp.369-376. ISSN:0350-2007, MathSciNet [MR3184868], Zentralblatt MATH [Zbl 1294.65060] | 2010 | Hasanov, V.I., Notes on two perturbation estimates of the extreme solutions to the equations X pm A^*X^{-1}A=Q, Applied Mathematics and Computation, Vol. 216 (2010), pp. 1355-1362. ISSN:0096-3003, WoS (Q1), Scopus (Q2) | 2009 | Хасанов, В., Едно обобщение на уравнението на Силвестър, Сборник научни трудове, УИ"Епископ Константин Преславски", (2009), сс. 31-34. | 2007 | Фейзолова, А.А., В.И. Хасанов, Върху някои пертурбационни оценки на матричните уравнения \(X + A^*X^{-1}A=Q\) и \(X - A^*X^{-1}A=Q\), Сборник научни трудове на ФМИ на Шуменски университет, Университетско издателство “Епископ Константин Преславски”, Шумен (2007), сс. 62-69. | 2006 | Hasanov, V.I., S.M. El-Sayed, On the positive definite solutions of nonlinear matrix equation \(X + A^* X^{-\delta}A = Q\), Linear Algebra and its Applications, Vol. 412 (2006),pp. 154-160. ISSN:0024-3795, WoS, Scopus, MathSciNet [MR2182958], Zentralblatt MATH [Zbl 1083.15018] | 2006 | Hasanov, V.I., I.G. Ivanov, On two perturbation estimates of the extreme solutions to the equations \(X \pm A^*X^{-1}A=Q\), Linear Algebra and its Applications, Vol. 413 (2006), pp. 81-92. ISSN:0024-3795, WoS, Scopus, MathSciNet [MR2202094], Zentralblatt MATH [Zbl 1087.15016] | 2006 | Nedzhibov, G.H., Hasanov, V.I., Petkov, M. G., On some families of multi-point iterative methods for solving nonlinear equations, Numerical Algorithms, 42 (2006), pp. 127–136. ISSN:1017-1398, WoS, Scopus, MathSciNet [MR2262511], Zentralblatt MATH [Zbl 1117.65067] | 2005 | Ivanov, I.G., V.I. Hasanov, F. Uhlig, Improved methods and starting values to solve the matrix equations \(X \pm A^*X^{-1}A = I\) iteratively, Mathematics of Computation, Vol. 74 (2005), pp. 263-278. ISSN:0025-5718, WoS, Scopus, MathSciNet [MR2085410], Zentralblatt MATH [Zbl 1058.65051] | 2005 | Hasanov, V.I., I.G. Ivanov, On the matrix equation \(X - A^*X^{-n}A = I\), Applied Mathematics and Computation, Vol. 168 (2005), pp. 1340-1356. ISSN:0096-3003, WoS, Scopus, MathSciNet [MR2171783], Zentralblatt MATH [Zbl 1081.65036] | 2005 | Hasanov, V.I., Positive definite solutions of the matrix equations \(X \pm A^*X^{-q}A = Q\), Linear Algebra and its Applications, Vol. 404 (2005), pp. 166-182. ISSN:0024-3795, WoS, Scopus, MathSciNet [MR2149658], Zentralblatt MATH [Zbl 1078.15012] | 2004 | Hasanov, V.I., I. G. Ivanov, F. Uhlig, Improved perturbation estimates for the matrix equations \(X \pm A^*X^{-1}A=Q\), Linear Algebra and its Applications, Vol. 379 (2004), pp. 113-135. ISSN:0024-3795, WoS, Scopus, Mathematical Reviews [MR2039300], Zentralblatt MATH [Zbl 1039.15005] | 2004 | Hasanov, V.I., I.G. Ivanov, Solutions and perturbation estimates for the matrix equations \(X \pm A^*X^{-n}A=Q\), Applied Mathematics and Computation, Vol. 156 (2004), pp. 513-525. ISSN:0096-3003, WoS, Scopus, Mathematical Reviews [MR2087529], Zentralblatt MATH [Zbl 1063.15012] | 2004 | Hasanov, V.I., An iterative method for solving the spectral problem of complex symmetric matrices, Computers & Mathematics with Applications, Vol. 47 (2004), pp.529-540. ISSN:0898-1221, WoS, Scopus, MathSciNet [MR2051327], Zentralblatt MATH [Zbl 1069.65035] | 2003 | Uhlig, F., V. I. Hasanov, I. G. Ivanov, On the quadratic matrix equations \(X\pm A^*X^{-1}A = Q\), Numerical Mathematics, A Journal of Chinese Universities, Vol. 12, (2003), pp. 1–5. | 2003 | Ivanov, I.G., V. I. Hasanov, Solutions and perturbation theory of a special matrix equation II: Perturbation theory, In: Mathematics and Education in Mathematics, Proceedings of the Thirty Second Spring Conference of the Union of Bulgarian Mathematicians, Sunny Beach 2003, pages 258–264, 2003. ISSN 1313-3330, Mathematical Reviews [MR 2006159] | 2003 | Hasanov, V.I., Ivanov, I.G., Solutions and perturbation theory of a special matrix equation I: Properties of solutions, In: Mathematics and Education in Mathematics, Proceedings of the Thirty Second Spring Conference of the Union of Bulgarian Mathematicians, Sunny Beach 2003, pages 244–248, 2003. ISSN 1313-3330, Mathematical Reviews [MR 2006157] | 2002 | Hasanov, V.I., Ivanov, I.G., Nedzhibov, G. H., A new modification of Newton’s method, In: Applications of Mathematics in Engineering and Economics, D. Ivanchev and M. D. Todorov (Eds.), Proceedings of the XXVII Summer School “Applications of Mathematics in Engineering”, Sozopol 2001, pages 278–286, Heron Press, Sofia, 2002. Mathematical Reviews [MR 1915725] | 2001 | Hassanov V., I. Ivanov, Positive Definite Solutions of the Equation \\\\(X+A^*X^{-n}A=I\\\\). In: Vulkov L., Yalamov P., Wasniewski J. (eds) Numerical Analysis and Its Applications. NAA 2000. Lecture Notes in Computer Science, Vol. 1988, pages 377-384. Springer, Berlin, Heidelberg, 2001. ISBN : 978-3-540-41814-6, WoS, Scopus, Mathematical Reviews [MR 1938432 (2003e:65003)] | 2001 | Ivanov, I.G., V.I. Hasanov, B.V. Minchev, On matrix equations \\(X \\pm A^*X^{-2}A=I\\), Linear Algebra and its Applications, Vol. 326, (2001), pp.27-44, ISSN:0024-3795, WoS, Scopus, Mathematical Reviews [MR 1815949] | 2001 | Hasanov, V.I., An iterative methods for solving the spectral J-symmetric problem. In: Applications of Mathematics in Engineering and Economics, D. Ivanchev and M.D. Todorov (Eds.), Proceedings of the XXVII Summer School “Applications of Mathematics in Engineering”, Sozopol 2001, pages 268–277, Heron Press, Sofia, 2002. ISBN 954-580-115-8/hbk, Mathematical Reviews [MR 1915724], Zentralblatt MATH [Zbl 1333.65038] | 2001 | Hasanov, V.I., I.G. Ivanov, Iterative method for computing the matrix square root, In: Applications of Mathematics in Engineering and Economics, D. Ivanchev and M. D. Todorov (Eds.), Proceedings of the XXVI Summer School “Applications of Mathematics in Engineering”, Sozopol 2000, pages 152–156, Heron Press, Sofia, 2001. Mathematical Reviews [MR 2002m:65039] | 1999 | Hasanov, V.I., Positive definite solutions of a nonlinear matrix equation, In: Mathematics and Education in Mathematics, Proceedings of the Twenty Eighth Spring Conference of the Union of Bulgarian Mathematicians, Montana 1999, pages 107–112, 1999. | 1999 | Ivanov, I. G., B. V. Minchev, V. I. Hasanov, Positive definite solutions of the equation \\( X-A^*\\sqrt{X^{-1}}A=I, \\) In: Applications of Mathematics in Engineering, D. Ivanchev and M. D. Todorov (Eds.), Proceedings of the XXIV Summer School “Applications of Mathematics in Engineering”, Sozopol 1998, pages 113–116, Heron Press, Sofia, 1999. Mathematical Reviews [MR 1691341] |
2019 | В. Хасанов, Линейно оптимиране, УИ "Епископ Константин Преславски", Шумен, 2019 г., стр. 192. ISBN 978-619-201-327-1 | 2014 | В. Хасанов, Лекции по числени методи, електронен учебник, (електронен учебник) ЦДО Шуменски университет, 2014, стр.139. ISBN 978-954-577-860-5 | 2005 | М. Г. Петков, И. Г. Иванов, В. И. Хасанов, Математическо оптимиране, второ допълнено издание, УИ "Епископ Константин Преславски", Шумен, 2005. ISBN 954-577-325-1 |
2019 | В. Хасанов, Ръководство по числени методи с Matlab, второ преработено и допълнено издание, УИ "Епископ Константин Преславски", Шумен, 2019 г., 248 стр., ISBN 978-619-201-310-3 | 2014 | В. Хасанов, Лекции по линейно оптимиране, електронен модул, ЦДО, 2014 г. | 2006 | В. Хасанов, Ръководство по числени методи с Matlab, УИ "Епископ Константин Преславски", Шумен, 2006. ISBN 954-577-374-Х; 978-954-577-374-7 |
2022 | Zyapkov, N., Stanev, S., Petrova, R., Georgiev, G., Stankov, D., Hasanov, V., The Faculty of Mathematics and Informatics and Its Professional Fields at the University of Shumen over the Years, MATHTEX 2022, Conference Proceedings, v. 1, (2022), pp. 3-36 (In Bulgarian). | 2013 | M. Hajarian, Q.W. Wang, V.I. Hasanov, Linear and Nonlinear Matrix Equations, Abstract and Applied Analysis, V. 2013 (2013), Article ID 741430 |