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    Проф. д-р  Вежди Исмаилов Хасанов
    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