Îñíîâí³ ïóáëiêàöi¿ â íàóêîâèõ æóðíàëàõ.

  1. ².². 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. ².². Kyrchei, D. Mosic, P.S. Stanimirovic, Weighted minimization problems for quaternion matrices, Advances in Applied Clifford Algebras 31: 48 (2021).[Q3]

  5. D. Mosic, ².². Kyrchei, P.S. Stanimirovic, Representations and properties for the MPCEP inverse, Journal of Applied Mathematics and Computing, (2021). [Q2]

  6. ².². 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. I.I. Kyrchei, Âèçíà÷íèêîâi çîáðàæåííÿ ðîçâ’ÿçêó êâàòåðíiîíîâîãî óçàãàëüíåíîãî ìàòðè÷íîãî ðiâíÿííÿ Ñèëüâåñòðà, Ìàò. ìåòîäè òà ô³ç.-ìåõ. ïîëÿ, 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] Translated from Mat. Metody Fiz.-Mekh. Polya 60(3), 97–106 (2017). (in Ukrainian).

  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. I.I.Kyrchei, Determinantal representation of the Moore-Penrose inverse matrix over the quaternion skew field, Journal of Mathematical Sciences 180(1) 23-33 (2012).[Q3] Translated from Mat. Metody Fiz.-Mekh. Polya 53(3), 36–46 (2010). (in Ukrainian).

  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. I.I. Kyrchei, Cramer's rule for quaternionic systems of linear equations, Journal of Mathematical Sciences 155(6), 839-858 (2008).[Q4] Translated from Fundamentalnaya i Prikladnaya Matematika, 13(4) (2007), pp. 67–94. (in Russian)

  38. I.I. Kyrchei, Cramer rule over quaternion division algebra, Bulletin of the University of Kiev. Series: Physics and Mathematics 1, 28-34 (2006). (in Ukrainian).

  39. I.I. Kyrchei, Determinantal representation of the Drazin inverse. Mat. Metody Fiz.-Mekh. Polya 49(2), 58–64 (2006). (in Ukrainian).

  40. I.I. Kyrchei, Representation of generalized inverse Moore–Penrose matrix by analog of classical adjoint matrix. Mat. Metody Fiz.-Mekh. Polya 47(4), 6–11 (2004). (in Ukrainian).

  41. I.I. Kyrchei, Analogue of adjoint matrix over skew field with involution. Mat. Metody Fiz.-Mekh. Polya 46(4), 81-91 (2003). (in Ukrainian).

  42. I. Kyrchey, The inverse matrix for hermitian over a quasi-field, Visnyk Lviv Univ. Ser. Appl. Math. Comp. Sci. 4, 120-125 (2002). (in Ukrainian).

  43. I.I. Kyrchei, Classical adjoint for Hermitian matrix over quasi-field, Mat. Metody Fiz.-Mekh. Polya 44(3), 33–49 (2001). (in Ukrainian).

  44. I.I. Kirchei, 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] Translated from Mathematical Methods and Physicomechanical Fields (Mat. Metody Fiz.-Mekh. Polya) 39(2), 89-95 (1996). (in Ukrainian).