Edit Profile (opens in new tab) Kyrchei, Ivan I. Co-Author Distance Author ID: kyrchei.ivan Published as: Kyrchei, Ivan; Kyrchei, Ivan I.; Kyrchei, I. I. more...less Homepage: http://iapmm.lviv.ua/12/files/st_files/kyrchei/kyrchei_e.htm External Links: ResearchGate Documents Indexed: 40 Publications since 2003 1 Contribution as Editor Co-Authors: 6 Co-Authors with 14 Joint Publications 197 Co-Co-Authors all top 5 Co-Authors 27 single-authored 9 Mosić, Dijana 9 Stanimirović, Predrag S. 5 Rehman, Abdur 3 Ali, Ilyas 3 Shakoor, Abdul 1 Ma, Haifeng all top 5 Serials 11 Advances in Applied Clifford Algebras 7 Applied Mathematics and Computation 3 Linear and Multilinear Algebra 3 Journal of Mathematics 2 Matematychni Metody ta Fizyko-Mekhanichni Polya 2 Mathematical Problems in Engineering 2 Abstract and Applied Analysis 2 Journal of Applied Mathematics and Computing 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Linear Algebra and its Applications 1 Journal of Mathematical Sciences (New York) 1 Computational and Applied Mathematics 1 Filomat 1 Arabian Journal of Mathematics 1 Special Matrices 1 Mathematics Research Developments all top 5 Fields 41 Linear and multilinear algebra; matrix theory (15-XX) 7 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 532 times in 162 Documents Cited by ▼ Year ▼ Explicit representation formulas for the minimum norm least squares solutions of some quaternion matrix equations. Zbl 1255.15022Kyrchei, Ivan 46 2013 Cramer’s rule for quaternionic systems of linear equations. Zbl 1157.15308Kyrchei, I. I. 41 2008 Determinantal representations of the Drazin inverse over the quaternion skew field with applications to some matrix equations. Zbl 1334.15012Kyrchei, Ivan 37 2014 Determinantal representations of the Moore-Penrose inverse over the quaternion skew field and corresponding Cramer’s rules. Zbl 1220.15007Kyrchei, I. I. 37 2011 Determinantal representations of solutions to systems of quaternion matrix equations. Zbl 1391.15057Kyrchei, Ivan 31 2018 Cramer’s rule for some quaternion matrix equations. Zbl 1205.15026Kyrchei, I. I. 29 2010 Determinantal representations of the W-weighted Drazin inverse over the quaternion skew field. Zbl 1410.15009Kyrchei, Ivan 27 2015 Cramer’s rules for Sylvester quaternion matrix equation and its special cases. Zbl 1404.15013Kyrchei, Ivan 26 2018 Analogs of the adjoint matrix for generalized inverses and corresponding Cramer rules. Zbl 1141.15005Kyrchei, I. I. 23 2008 Analogs of Cramer’s rule for the minimum norm least squares solutions of some matrix equations. Zbl 1242.65078Kyrchei, Ivan 21 2012 Explicit determinantal representation formulas of \(W\)-weighted Drazin inverse solutions of some matrix equations over the quaternion skew field. Zbl 1400.15009Kyrchei, Ivan I. 19 2016 Explicit formulas for determinantal representations of the Drazin inverse solutions of some matrix and differential matrix equations. Zbl 1291.15040Kyrchei, Ivan 19 2013 Determinantal representations of general and (skew-)Hermitian solutions to the generalized Sylvester-type quaternion matrix equation. Zbl 1474.15041Kyrchei, Ivan I. 18 2019 Determinantal representations of the quaternion core inverse and its generalizations. Zbl 1436.15004Kyrchei, Ivan 18 2019 Weighted singular value decomposition and determinantal representations of the quaternion weighted Moore-Penrose inverse. Zbl 1411.15025Kyrchei, Ivan 17 2017 Explicit determinantal representation formulas for the solution of the two-sided restricted quaternionic matrix equation. Zbl 1396.15014Kyrchei, Ivan I. 17 2018 Cramer’s rules of \(\eta \)-(skew-)Hermitian solutions to the quaternion Sylvester-type matrix equations. Zbl 1415.15016Kyrchei, Ivan 13 2019 Weighted quaternion core-EP, DMP, MPD, and CMP inverses and their determinantal representations. Zbl 1451.15005Kyrchei, Ivan 13 2020 Determinantal representations of solutions and Hermitian solutions to some system of two-sided quaternion matrix equations. Zbl 1487.15017Kyrchei, Ivan I. 11 2018 Determinantal representations of the core inverse and its generalizations with applications. Zbl 1448.15009Kyrchei, Ivan I. 10 2019 Least-norm of the general solution to some system of quaternion matrix equations and its determinantal representations. Zbl 1457.15017Rehman, Abdur; Kyrchei, Ivan; Akram, Muhammad; Ali, Ilyas; Shakoor, Abdul 6 2019 Sign pattern, usability, representations and perturbation for the core-EP and weighted core-EP inverse. Zbl 1510.15006Ma, Haifeng; Stanimirović, Predrag S.; Mosić, Dijana; Kyrchei, Ivan I. 6 2021 Representations and properties for the MPCEP inverse. Zbl 1490.15005Mosić, Dijana; Kyrchei, Ivan I.; Stanimirović, Predrag S. 5 2021 Determinantal representations of the weighted core-EP, DMP, MPD, and CMP inverses. Zbl 1450.15005Kyrchei, Ivan I. 5 2020 MPD-DMP-solutions to quaternion two-sided restricted matrix equations. Zbl 1476.15005Kyrchei, Ivan I.; Mosić, Dijana; Stanimirović, Predrag 5 2021 Cramer’s rules for some Hermitian coquaternionic matrix equations. Zbl 1382.15022Kyrchei, Ivan 5 2017 Solvability of new constrained quaternion matrix approximation problems based on core-EP inverses. Zbl 1456.15014Kyrchei, Ivan; Mosić, Dijana; Stanimirović, Predrag S. 5 2021 The general solution of quaternion matrix equation having \(\eta \)-skew-Hermicity and its Cramer’s rule. Zbl 1435.15013Rehman, Abdur; Kyrchei, Ivan; Ali, Ilyas; Akram, Muhammad; Shakoor, Abdul 4 2019 Explicit formulas and determinantal representation for \(\eta\)-skew-Hermitian solution to a system of quaternion matrix equations. Zbl 1499.15054Rehman, Abdur; Kyrchei, Ivan; Ali, Ilyas; Akram, Muhammad; Shakoor, Abdul 4 2020 Weighted minimization problems for quaternion matrices. Zbl 1472.15042Kyrchei, Ivan I.; Mosić, Dijana; Stanimirović, Predrag S. 3 2021 The column and row immanants over a split quaternion algebra. Zbl 1328.15015Kyrchei, Ivan 3 2015 MPCEP-\(*\)CEPMP-solutions of some restricted quaternion matrix equations. Zbl 1484.15014Kyrchei, Ivan I.; Mosić, Dijana; Stanimirović, Predrag S. 3 2022 Determinantal representations of solutions to systems of two-sided quaternion matrix equations. Zbl 1468.15009Kyrchei, Ivan 2 2021 Representations of quaternion W-MPCEP, W-CEPMP and W-MPCEPMP inverses. Zbl 1492.15003Kyrchei, Ivan I.; Mosić, Dijana; Stanimirović, Predrag S. 1 2022 Solving and algorithm to system of quaternion Sylvester-type matrix equations with \(\ast\)-Hermicity. Zbl 1501.15010Rehman, Abdur; Kyrchei, Ivan I. 1 2022 An analogue of adjoint matrix over skew field with involution. Zbl 1086.15507Kyrchei, I. I. 1 2003 MPCEP-\(*\)CEPMP-solutions of some restricted quaternion matrix equations. Zbl 1484.15014Kyrchei, Ivan I.; Mosić, Dijana; Stanimirović, Predrag S. 3 2022 Representations of quaternion W-MPCEP, W-CEPMP and W-MPCEPMP inverses. Zbl 1492.15003Kyrchei, Ivan I.; Mosić, Dijana; Stanimirović, Predrag S. 1 2022 Solving and algorithm to system of quaternion Sylvester-type matrix equations with \(\ast\)-Hermicity. Zbl 1501.15010Rehman, Abdur; Kyrchei, Ivan I. 1 2022 Sign pattern, usability, representations and perturbation for the core-EP and weighted core-EP inverse. Zbl 1510.15006Ma, Haifeng; Stanimirović, Predrag S.; Mosić, Dijana; Kyrchei, Ivan I. 6 2021 Representations and properties for the MPCEP inverse. Zbl 1490.15005Mosić, Dijana; Kyrchei, Ivan I.; Stanimirović, Predrag S. 5 2021 MPD-DMP-solutions to quaternion two-sided restricted matrix equations. Zbl 1476.15005Kyrchei, Ivan I.; Mosić, Dijana; Stanimirović, Predrag 5 2021 Solvability of new constrained quaternion matrix approximation problems based on core-EP inverses. Zbl 1456.15014Kyrchei, Ivan; Mosić, Dijana; Stanimirović, Predrag S. 5 2021 Weighted minimization problems for quaternion matrices. Zbl 1472.15042Kyrchei, Ivan I.; Mosić, Dijana; Stanimirović, Predrag S. 3 2021 Determinantal representations of solutions to systems of two-sided quaternion matrix equations. Zbl 1468.15009Kyrchei, Ivan 2 2021 Weighted quaternion core-EP, DMP, MPD, and CMP inverses and their determinantal representations. Zbl 1451.15005Kyrchei, Ivan 13 2020 Determinantal representations of the weighted core-EP, DMP, MPD, and CMP inverses. Zbl 1450.15005Kyrchei, Ivan I. 5 2020 Explicit formulas and determinantal representation for \(\eta\)-skew-Hermitian solution to a system of quaternion matrix equations. Zbl 1499.15054Rehman, Abdur; Kyrchei, Ivan; Ali, Ilyas; Akram, Muhammad; Shakoor, Abdul 4 2020 Determinantal representations of general and (skew-)Hermitian solutions to the generalized Sylvester-type quaternion matrix equation. Zbl 1474.15041Kyrchei, Ivan I. 18 2019 Determinantal representations of the quaternion core inverse and its generalizations. Zbl 1436.15004Kyrchei, Ivan 18 2019 Cramer’s rules of \(\eta \)-(skew-)Hermitian solutions to the quaternion Sylvester-type matrix equations. Zbl 1415.15016Kyrchei, Ivan 13 2019 Determinantal representations of the core inverse and its generalizations with applications. Zbl 1448.15009Kyrchei, Ivan I. 10 2019 Least-norm of the general solution to some system of quaternion matrix equations and its determinantal representations. Zbl 1457.15017Rehman, Abdur; Kyrchei, Ivan; Akram, Muhammad; Ali, Ilyas; Shakoor, Abdul 6 2019 The general solution of quaternion matrix equation having \(\eta \)-skew-Hermicity and its Cramer’s rule. Zbl 1435.15013Rehman, Abdur; Kyrchei, Ivan; Ali, Ilyas; Akram, Muhammad; Shakoor, Abdul 4 2019 Determinantal representations of solutions to systems of quaternion matrix equations. Zbl 1391.15057Kyrchei, Ivan 31 2018 Cramer’s rules for Sylvester quaternion matrix equation and its special cases. Zbl 1404.15013Kyrchei, Ivan 26 2018 Explicit determinantal representation formulas for the solution of the two-sided restricted quaternionic matrix equation. Zbl 1396.15014Kyrchei, Ivan I. 17 2018 Determinantal representations of solutions and Hermitian solutions to some system of two-sided quaternion matrix equations. Zbl 1487.15017Kyrchei, Ivan I. 11 2018 Weighted singular value decomposition and determinantal representations of the quaternion weighted Moore-Penrose inverse. Zbl 1411.15025Kyrchei, Ivan 17 2017 Cramer’s rules for some Hermitian coquaternionic matrix equations. Zbl 1382.15022Kyrchei, Ivan 5 2017 Explicit determinantal representation formulas of \(W\)-weighted Drazin inverse solutions of some matrix equations over the quaternion skew field. Zbl 1400.15009Kyrchei, Ivan I. 19 2016 Determinantal representations of the W-weighted Drazin inverse over the quaternion skew field. Zbl 1410.15009Kyrchei, Ivan 27 2015 The column and row immanants over a split quaternion algebra. Zbl 1328.15015Kyrchei, Ivan 3 2015 Determinantal representations of the Drazin inverse over the quaternion skew field with applications to some matrix equations. Zbl 1334.15012Kyrchei, Ivan 37 2014 Explicit representation formulas for the minimum norm least squares solutions of some quaternion matrix equations. Zbl 1255.15022Kyrchei, Ivan 46 2013 Explicit formulas for determinantal representations of the Drazin inverse solutions of some matrix and differential matrix equations. Zbl 1291.15040Kyrchei, Ivan 19 2013 Analogs of Cramer’s rule for the minimum norm least squares solutions of some matrix equations. Zbl 1242.65078Kyrchei, Ivan 21 2012 Determinantal representations of the Moore-Penrose inverse over the quaternion skew field and corresponding Cramer’s rules. Zbl 1220.15007Kyrchei, I. I. 37 2011 Cramer’s rule for some quaternion matrix equations. Zbl 1205.15026Kyrchei, I. I. 29 2010 Cramer’s rule for quaternionic systems of linear equations. Zbl 1157.15308Kyrchei, I. I. 41 2008 Analogs of the adjoint matrix for generalized inverses and corresponding Cramer rules. Zbl 1141.15005Kyrchei, I. I. 23 2008 An analogue of adjoint matrix over skew field with involution. Zbl 1086.15507Kyrchei, I. I. 1 2003 all cited Publications top 5 cited Publications all top 5 Cited by 144 Authors 37 Kyrchei, Ivan I. 28 Mosić, Dijana 18 Stanimirović, Predrag S. 14 He, ZhuoHeng 14 Wang, Qingwen 11 Song, Guangjing 6 Hajarian, Masoud 6 Rehman, Abdur 6 Thome, Néstor 6 Wang, Jinrong 5 Fečkan, Michal 5 Liu, Xiaoji 5 Yuan, Shifang 4 Ali, Ilyas 4 Dong, Changzhou 4 Katsikis, Vasilios N. 4 Liu, Xin 4 Ma, Haifeng 4 Wang, Xiangxiang 4 Zhang, Daochang 4 Zhang, Yang 3 Lattanzi, Marina Beatriz 3 Liu, Longsheng 3 Shakoor, Abdul 3 Sheng, Xingping 3 Wei, Yimin 3 Yu, Shaowen 3 Yu, Yaoming 2 Chang, Haixia 2 Chen, Guoliang 2 Chen, Jianlong 2 Ferreyra, David Eduardo 2 Gupta, Dharmendra Kumar 2 Hernández, M. V. 2 Ji, Jun 2 Li, Ying 2 Soleymani, Fazlollah 2 Srivastava, Shwetabh 2 Stojanović, Katarina S. 2 Tian, Yong 2 Wang, Hongxing 2 Wang, Long 2 Wang, Meng 2 Wang, Xuezhong 2 Zhang, Yuping 2 Zhao, Jianli 2 Zhou, Mengmeng 1 Abdolmohammadi, Sh. 1 Abhimanyu, Pallavi Sudhir 1 Ahmad, Muhammad Ozair 1 Al-Fhaid, Abdulrahman S. 1 Alimorad, Hajar 1 Aniz, Claudemir 1 Behera, Ratikanta 1 Cai, Naping 1 Chalco-Cano, Yurilev 1 Chen, Liangyun 1 Chen, Yinlan 1 Cobb, John 1 Cong, Zhanlei 1 Cvetković-Ilić, Dragana S. 1 Dehghan Takht Fooladi, Mehdi 1 Ding, Wenxv 1 Ding, Xue 1 Dolinar, Gregor 1 Đorđević, Dragan S. 1 Fu, Teng 1 Guo, Zhenwei 1 He, Fuli 1 Hu, Jianping 1 Huang, Huajun 1 Huang, Liji 1 Huang, Song 1 Ibrahim, Tarek F. 1 Jebreen, Haifa Bin 1 Jiang, Tongsong 1 Jin, Hongwei 1 Kansal, Munish 1 Kasman, Alex 1 Kaur, Manpreet 1 Kazakovtsev, Lev A. 1 Kumar, Amit 1 Levis, Fabián Eduardo 1 Li, Mingzhao 1 Li, Ning 1 Liu, Lina 1 Liu, Qiaohua 1 Liu, Wankai 1 Lv, Ru-Yuan 1 Macias-Virgós, Enrique 1 Marovt, Janko 1 Mehany, Mahmoud Saad 1 Mishra, Debasisha 1 Miyajima, Shinya 1 Navasca, Carmeliza 1 Orquera, V. 1 Panda, Saroja Kumar 1 Pereira-Sáez, María José 1 Petković, Marko D. 1 Qi, Tian-Cheng ...and 44 more Authors all top 5 Cited in 50 Serials 23 Advances in Applied Clifford Algebras 18 Applied Mathematics and Computation 14 Linear and Multilinear Algebra 10 Journal of Applied Mathematics and Computing 9 Computational and Applied Mathematics 8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Computers & Mathematics with Applications 5 Mathematical Problems in Engineering 5 Qualitative Theory of Dynamical Systems 4 ELA. The Electronic Journal of Linear Algebra 4 Abstract and Applied Analysis 4 Journal of Mathematics 3 Journal of Computational and Applied Mathematics 3 Bulletin of the Iranian Mathematical Society 3 Linear Algebra and its Applications 3 Filomat 3 Journal of Applied Mathematics 3 AIMS Mathematics 2 Journal of Mathematical Physics 2 Numerical Functional Analysis and Optimization 2 Asian Journal of Control 1 Rocky Mountain Journal of Mathematics 1 Mathematica Slovaca 1 Monatshefte für Mathematik 1 Topology and its Applications 1 Bulletin of the Korean Mathematical Society 1 Journal of Scientific Computing 1 Numerical Algorithms 1 Aequationes Mathematicae 1 International Journal of Computer Mathematics 1 Journal of Mathematical Sciences (New York) 1 Numerical Linear Algebra with Applications 1 Georgian Mathematical Journal 1 Journal of Inverse and Ill-Posed Problems 1 Journal of Inequalities and Applications 1 Discrete Dynamics in Nature and Society 1 Journal of Nonlinear Mathematical Physics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Sādhanā 1 Hacettepe Journal of Mathematics and Statistics 1 Journal of Algebra and its Applications 1 Advances in Mathematical Physics 1 Communications in Mathematical Research 1 Afrika Matematika 1 Arabian Journal of Mathematics 1 Special Matrices 1 Journal of Linear and Topological Algebra 1 Open Mathematics 1 Cogent Mathematics & Statistics 1 Electronic Research Archive all top 5 Cited in 23 Fields 149 Linear and multilinear algebra; matrix theory (15-XX) 48 Numerical analysis (65-XX) 10 Operator theory (47-XX) 6 Number theory (11-XX) 6 Ordinary differential equations (34-XX) 4 Functional analysis (46-XX) 4 Systems theory; control (93-XX) 3 Associative rings and algebras (16-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Group theory and generalizations (20-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 General topology (54-XX) 2 Computer science (68-XX) 2 Information and communication theory, circuits (94-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) Citations by Year