Основні публiкацiї в наукових журналах.

  1. І.І. Kyrchei, D. Mosic, P.S. Stanimirovic, MPD-DMP-solutions to quaternion two-sided restricted matrix equations, Computational and Applied Mathematics 40: 177 (2021). [Q2]

  2. H. Ma, P.S. Stanimirovic, D. Mosic, I.I. Kyrchei, Weighted minimization problems for quaternion matrices, Applied Mathematics and Computation 404: 126247 (2021).[Q1]

  3. A. Rehman, I. Kyrchei, M. Akram, I. Ali, A. Shakoor, Explicit formulas and determinantal representation for $\eta$-skew-Hermitian solution to a system of quaternion matrix equations, Iranian Journal of Science and Technology, Transactions A: Science 45(3), 1015-1024. (2021)[Q2]

  4. І.І. Kyrchei, D. Mosic, P.S. Stanimirovic, Weighted minimization problems for quaternion matrices, Advances in Applied Clifford Algebras 31: 48 (2021).[Q3]

  5. D. Mosic, І.І. Kyrchei, P.S. Stanimirovic, Representations and properties for the MPCEP inverse, Journal of Applied Mathematics and Computing (2021). [Q2]

  6. І.І. Kyrchei, D. Mosic, P.S. Stanimirovic, Solvability of new constrained quater-nion matrix ap proximation problems based on core-EP inverses, Advances in Applied Clifford Algebras 31:3 (2021). [Q2]

  7. I.I. Kyrchei, Determinantal representations of solutions to systems of two-sided quaternion matrix equations Linear and Multilinear Algebra 69(4), 648-672 (2021). [Q2]

  8. I.I. Kyrchei, Weighted quaternion core-EP, DMP, MPD, and CMP inverses and their determinantal representations, Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matemfticas 114:198 (2020). [Q2]

  9. A. Rehman, I. Kyrchei, M. Akram, I. Ali, A. Shakoor, Explicit formulas and determinantal representation for $\eta$-skew-Hermitian solution to a system of quaternion matrix equations, Filomat 34(8), 2601-2627 (2020). [Q2]

  10. I.I. Kyrchei, Determinantal representations of the weighted core-EP, DMP, MPD, and CMP inverses, Journal of Mathematics, Article ID 9816038, 12 p., (2020). [Q3]

  11. I.I. Kyrchei, Cramer’s rules of \eta-(skew-) Hermitian solutions to the quaternion Sylvester-type matrix equations, Advances in Applied Clifford Algebras 29(3): 56 (2019). [Q3]

  12. I.I. Kyrchei, Determinantal representations of the quaternion core inverse and its generalizations, Advances in Applied Clifford Algebras 29: 104 (2019). [Q3]

  13. I.I. Kyrchei, Determinantal representations of the core inverse and its generalizations with applications, Journal of Mathematics, ID 1631979, 13 p., (2019). [Q3]

  14. A. Rehman, I. Kyrchei, M. Akram, I. Ali, A. Shakoor, Least-norm of the general solution to some system of quaternion matrix equations and its determinantal representations, Abstract and Applied Analysis, ID 907269, 18 p., (2019). [Q4]

  15. A. Rehman, I. Kyrchei, M. Akram, I. Ali, A. Shakoor, The general solution of quaternion matrix equation having \eta-Skew-Hermicity and its Cramer’s rule, Mathematical Problems in Engineering, ID 7939238, 25 p., (2019). [Q3]

  16. I.I. Kyrchei, Cramer’s rules for the system of quaternion matrix equations with \eta-Hermicity, 4open 2:24 (2019).

  17. I.I. Kyrchei, Determinantal representations of general and (skew-)Hermitian solutions to the generalized Sylvester-type quaternion matrix equation, Abstract and Applied Analysis, Article ID 5926832, 14 p., (2019). [Q4]

  18. I.I. Kyrchei, Cramer’s rules for Sylvester quaternion matrix equation and its special cases, Advances in Applied Clifford Algebras 28(5):90 (2018). [Q3]

  19. I.I. Kyrchei, Determinantal representations of solutions to systems of quaternion matrix equations, Advances in Applied Clifford Algebras 28(1):23 (2018). [Q3]

  20. I.I. Kyrchei, Determinantal representations of solutions and Hermitian solutions to some system of two-sided quaternion matrix equations, Journal of Mathematics, Article ID 6294672, (2018), 12 p. [Q4]

  21. I.I. Kyrchei, Explicit determinantal representation formulas for the solution of the two-sided restricted quaternionic matrix equation, Journal of Applied Mathematics and Computing 58(1-2), 335-365 (2018). [Q3]

  22. I.I. Kyrchei, Weighted singular value decomposition and determinantal representations of the quaternion weighted Moore–Penrose inverse, Applied Mathematics and Computation 309, 1-16 (2017). [Q1]

  23. I.I. Kyrchei, Cramer’s rules for some Hermitian coquaternionic matrix equations, Advances in Applied Clifford Algebras 27(3), 2509–2529 (2017). [Q2]

  24. Кирчей І.І. Визначниковi зображення розв’язку кватернiонового узагальненого матричного рiвняння Сильвестра, Мат. методи та фіз.-мех. поля 60(3) (2017), pp. 97-106. Determinantal Representations for the solution of the generalized Sylvester quaternion matrix equation, Journal of Mathematical Sciences 246, 234-244 (2020).[Q3]

  25. M. Hajarian, J.Yuan, I. Kyrchei, Applications of methods of numerical linear algebra in engineering 2016, Mathematical Problems in Engineering, Article ID 4854759, 2 p., (2016). [Q3]

  26. I.I. Kyrchei, Explicit determinantal representation formulas of W-weighted Drazin inverse solutions of some matrix equations over the quaternion skew field, Mathematical Problems in Engineering, Article ID 8673809, 13 p., (2016). [Q3]

  27. I.I. Kyrchei, The column and row immanants of matrices over a split quaternion algebra, Advances in Applied Clifford Algebras 25, 611-619 (2015). [Q3]

  28. I.I. Kyrchei, Determinantal representations of the W-weighted Drazin inverse over the quaternion skew field, Applied Mathematics and Computation 264, 453–465 (2015). [Q2]

  29. I.I. Kyrchei, Determinantal representations of the Drazin inverse over the quaternion skew field with applications to some matrix equations, Applied Mathematics and Computation 238, 193-207 (2014).[Q2]

  30. I.I. Kyrchei, Explicit formulas for determinantal representations of the Drazin inverse solutions of some matrix and differential matrix equations, Applied Mathematics and Computation 219, 7632-7644 (2013). [Q1]

  31. I.I. Kyrchei, Explicit representation formulas for the minimum norm least squares solutions of some quaternion matrix equations, Linear Algebra and Its Applications 438(1), 136–152 (2013). [Q1]

  32. I.I. Kyrchei, Analogs of Cramer's rule for the minimum norm least squares solutions of some matrix equations, Applied Mathematics and Computation, 218, 6375-6384 (2012).[Q1]

  33. I.I. Kyrchei, Determinantal representations of the Moore-Penrose inverse over the quaternion skew field and corresponding Cramer's rules, Linear and Multilinear Algebra 59(4), 413-431 (2011).[Q2]

  34. I. I.Kyrchei, Cramer's rule for some quaternion matrix equations, Applied Mathematics and Computation 217(5), 2024-2030 (2010). [Q2]

  35. Кирчей І.І. Визначникове зображення узагальненої оберненої матриці Мура-Пенроуза над тілом кватерніонів // Мат. методи та фіз.-мех. поля. – 2010. – 53, №3. – С.36–46. Determinantal representation of the Moore-Penrose inverse matrix over the quaternion skew field, Journal of Mathematical Sciences 180(1), 23-33 (2012).[Q3]

  36. I.I. Kyrchei, Analogs of the adjoint matrix for generalized inverses and corresponding Cramer rules, Linear and Multilinear Algebra 56(4), 453–469 (2008).[Q2]

  37. Кирчей И.И. Правило Крамера для кватернионных систем линейных уравнений, Фундаментальная и прикладная математика, 13(4), С. 67–94, (2007). [ Cramer’s rule for quaternionic systems of linear equations, Journal of Mathematical Sciences 155(6) 839-858, (2008)[Q4]

  38. Кирчей І.І. Правило Крамера над кватерніоновою алгеброю з діленням // Вісник Київського університету. Серія фізико-математичні науки. – 2006. – №1. – С.28–34.

  39. Кирчей І.І. Визначникове зображення матриці Дразіна. // Мат. методи та фіз.-мех. поля. – 2006. – 49, №2. – С.58–64.

  40. Кирчей І.І. Зображення узагальненої оберненої Мура-Пенроуза через аналог приєднаної матриці// Мат. методи та фіз.-мех. поля. – 2004. – 47, №4. – С.6–11.

  41. Кирчей І.І. Аналог класичної приєднаної матриці над тілом з інволюцією// Мат. методи та фіз.-мех. поля. – 2003. – 46, №4. – С.81–91.

  42. Кирчей І. І. Матриця, обернена до ермітової над тілом// Вісник Львів.ун-ту. Сер. прикл. математика та інформатика. – 2002. – Вип. 4. - С.120-125.

  43. Кирчей І. І. Класична приєднана матриця для ермітової над тілом// Мат. методи та фіз.-мех. поля. – 2001 – 44, №3. – С. 33–48.

  44. Кирчей І. І. Дробово-раціональна регуляризація системи лінійних рівнянь над тілом кватерніонів// Мат. методи та фізико-механічні поля. – 1996 - 39, - № 2. - С. 89 - 95. Fractional-rational regularization of a system of linear equations over the skew-field of quaternions, Journal of Mathematical Sciences 90(5) 2398-2403, (1998)[Q4]