Edit Profile (opens in new tab) Kyrchei, Ivan I. Co-Author Distance Author ID: kyrchei.ivan Published as: Kyrchei, Ivan I.; Kyrchei, Ivan; Kyrchei, I. I. more...less Homepage: http://iapmm.lviv.ua/12/files/st_files/kyrchei/kyrchei_e.htm External Links: ORCID · Google Scholar · ResearchGate · dblp Documents Indexed: 55 Publications since 2003, including 11 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 9 Co-Authors with 18 Joint Publications 276 Co-Co-Authors all top 5 Co-Authors 38 single-authored 11 Mosić, Dijana 11 Stanimirović, Predrag S. 5 Rehman, Abdur 3 Ali, Ilyas 3 Shakoor, Abdul 1 Kleyn, Aleks 1 Ma, Haifeng 1 Pelykh, Volodymyr O. 1 Treister, Eran 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 Discrete Mathematics 1 Journal of Mathematical Analysis and Applications 1 Linear Algebra and its Applications 1 Journal of Mathematical Sciences (New York) 1 Computational and Applied Mathematics 1 Filomat 1 Qualitative Theory of Dynamical Systems 1 Arabian Journal of Mathematics 1 Special Matrices 1 Mathematics Research Developments all top 5 Fields 55 Linear and multilinear algebra; matrix theory (15-XX) 7 Numerical analysis (65-XX) 4 Number theory (11-XX) 4 Associative rings and algebras (16-XX) 2 Ordinary differential equations (34-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Functional analysis (46-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 39 Publications have been cited 606 times in 198 Documents Cited by ▼ Year ▼ Explicit representation formulas for the minimum norm least squares solutions of some quaternion matrix equations. Zbl 1255.15022 Kyrchei, Ivan 51 2013 Cramer’s rule for quaternionic systems of linear equations. Zbl 1157.15308 Kyrchei, I. I. 44 2008 Determinantal representations of the Drazin inverse over the quaternion skew field with applications to some matrix equations. Zbl 1334.15012 Kyrchei, Ivan 41 2014 Determinantal representations of the Moore-Penrose inverse over the quaternion skew field and corresponding Cramer’s rules. Zbl 1220.15007 Kyrchei, I. I. 39 2011 Determinantal representations of solutions to systems of quaternion matrix equations. Zbl 1391.15057 Kyrchei, Ivan 33 2018 Cramer’s rule for some quaternion matrix equations. Zbl 1205.15026 Kyrchei, I. I. 32 2010 Cramer’s rules for Sylvester quaternion matrix equation and its special cases. Zbl 1404.15013 Kyrchei, Ivan 31 2018 Determinantal representations of the W-weighted Drazin inverse over the quaternion skew field. Zbl 1410.15009 Kyrchei, Ivan 31 2015 Analogs of the adjoint matrix for generalized inverses and corresponding Cramer rules. Zbl 1141.15005 Kyrchei, I. I. 25 2008 Explicit formulas for determinantal representations of the Drazin inverse solutions of some matrix and differential matrix equations. Zbl 1291.15040 Kyrchei, Ivan 22 2013 Analogs of Cramer’s rule for the minimum norm least squares solutions of some matrix equations. Zbl 1242.65078 Kyrchei, Ivan 21 2012 Weighted singular value decomposition and determinantal representations of the quaternion weighted Moore-Penrose inverse. Zbl 1411.15025 Kyrchei, Ivan 20 2017 Determinantal representations of general and (skew-)Hermitian solutions to the generalized Sylvester-type quaternion matrix equation. Zbl 1474.15041 Kyrchei, Ivan I. 19 2019 Explicit determinantal representation formulas of \(W\)-weighted Drazin inverse solutions of some matrix equations over the quaternion skew field. Zbl 1400.15009 Kyrchei, Ivan I. 19 2016 Determinantal representations of the quaternion core inverse and its generalizations. Zbl 1436.15004 Kyrchei, Ivan 19 2019 Explicit determinantal representation formulas for the solution of the two-sided restricted quaternionic matrix equation. Zbl 1396.15014 Kyrchei, Ivan I. 18 2018 Weighted quaternion core-EP, DMP, MPD, and CMP inverses and their determinantal representations. Zbl 1451.15005 Kyrchei, Ivan 17 2020 Determinantal representations of the core inverse and its generalizations with applications. Zbl 1448.15009 Kyrchei, Ivan I. 16 2019 Cramer’s rules of \(\eta \)-(skew-)Hermitian solutions to the quaternion Sylvester-type matrix equations. Zbl 1415.15016 Kyrchei, Ivan 15 2019 Determinantal representations of solutions and Hermitian solutions to some system of two-sided quaternion matrix equations. Zbl 1487.15017 Kyrchei, Ivan I. 11 2018 MPD-DMP-solutions to quaternion two-sided restricted matrix equations. Zbl 1476.15005 Kyrchei, Ivan I.; Mosić, Dijana; Stanimirović, Predrag 11 2021 Sign pattern, usability, representations and perturbation for the core-EP and weighted core-EP inverse. Zbl 1510.15006 Ma, Haifeng; Stanimirović, Predrag S.; Mosić, Dijana; Kyrchei, Ivan I. 10 2021 Representations and properties for the MPCEP inverse. Zbl 1490.15005 Mosić, Dijana; Kyrchei, Ivan I.; Stanimirović, Predrag S. 8 2021 Least-norm of the general solution to some system of quaternion matrix equations and its determinantal representations. Zbl 1457.15017 Rehman, Abdur; Kyrchei, Ivan; Akram, Muhammad; Ali, Ilyas; Shakoor, Abdul 6 2019 Solvability of new constrained quaternion matrix approximation problems based on core-EP inverses. Zbl 1456.15014 Kyrchei, Ivan; Mosić, Dijana; Stanimirović, Predrag S. 6 2021 Cramer’s rules for some Hermitian coquaternionic matrix equations. Zbl 1382.15022 Kyrchei, Ivan 5 2017 Determinantal representations of the weighted core-EP, DMP, MPD, and CMP inverses. Zbl 1450.15005 Kyrchei, Ivan I. 5 2020 Explicit formulas and determinantal representation for \(\eta\)-skew-Hermitian solution to a system of quaternion matrix equations. Zbl 1499.15054 Rehman, Abdur; Kyrchei, Ivan; Ali, Ilyas; Akram, Muhammad; Shakoor, Abdul 5 2020 The column and row immanants over a split quaternion algebra. Zbl 1328.15015 Kyrchei, Ivan 4 2015 Determinantal representations of solutions to systems of two-sided quaternion matrix equations. Zbl 1468.15009 Kyrchei, Ivan 4 2021 The general solution of quaternion matrix equation having \(\eta \)-skew-Hermicity and its Cramer’s rule. Zbl 1435.15013 Rehman, Abdur; Kyrchei, Ivan; Ali, Ilyas; Akram, Muhammad; Shakoor, Abdul 4 2019 MPCEP-\(*\)CEPMP-solutions of some restricted quaternion matrix equations. Zbl 1484.15014 Kyrchei, Ivan I.; Mosić, Dijana; Stanimirović, Predrag S. 4 2022 Weighted minimization problems for quaternion matrices. Zbl 1472.15042 Kyrchei, Ivan I.; Mosić, Dijana; Stanimirović, Predrag S. 3 2021 Generalized inverses. Algorithms and applications. Zbl 1499.15001 2 2022 An analogue of adjoint matrix over skew field with involution. Zbl 1086.15507 Kyrchei, I. I. 1 2003 The determinant of the Laplacian matrix of a quaternion unit gain graph. Zbl 1539.05080 Kyrchei, Ivan I.; Treister, Eran; Pelykh, Volodymyr O. 1 2024 Representations of quaternion W-MPCEP, W-CEPMP and W-MPCEPMP inverses. Zbl 1492.15003 Kyrchei, Ivan I.; Mosić, Dijana; Stanimirović, Predrag S. 1 2022 Solving and algorithm to system of quaternion Sylvester-type matrix equations with \(\ast\)-Hermicity. Zbl 1501.15010 Rehman, Abdur; Kyrchei, Ivan I. 1 2022 \(W\)-MPD-\(N\)-DMP-solutions of constrained quaternion matrix equations. Zbl 1519.15016 Kyrchei, Ivan I.; Mosić, Dijana; Stanimirović, Predrag 1 2023 The determinant of the Laplacian matrix of a quaternion unit gain graph. Zbl 1539.05080 Kyrchei, Ivan I.; Treister, Eran; Pelykh, Volodymyr O. 1 2024 \(W\)-MPD-\(N\)-DMP-solutions of constrained quaternion matrix equations. Zbl 1519.15016 Kyrchei, Ivan I.; Mosić, Dijana; Stanimirović, Predrag 1 2023 MPCEP-\(*\)CEPMP-solutions of some restricted quaternion matrix equations. Zbl 1484.15014 Kyrchei, Ivan I.; Mosić, Dijana; Stanimirović, Predrag S. 4 2022 Generalized inverses. Algorithms and applications. Zbl 1499.15001 2 2022 Representations of quaternion W-MPCEP, W-CEPMP and W-MPCEPMP inverses. Zbl 1492.15003 Kyrchei, Ivan I.; Mosić, Dijana; Stanimirović, Predrag S. 1 2022 Solving and algorithm to system of quaternion Sylvester-type matrix equations with \(\ast\)-Hermicity. Zbl 1501.15010 Rehman, Abdur; Kyrchei, Ivan I. 1 2022 MPD-DMP-solutions to quaternion two-sided restricted matrix equations. Zbl 1476.15005 Kyrchei, Ivan I.; Mosić, Dijana; Stanimirović, Predrag 11 2021 Sign pattern, usability, representations and perturbation for the core-EP and weighted core-EP inverse. Zbl 1510.15006 Ma, Haifeng; Stanimirović, Predrag S.; Mosić, Dijana; Kyrchei, Ivan I. 10 2021 Representations and properties for the MPCEP inverse. Zbl 1490.15005 Mosić, Dijana; Kyrchei, Ivan I.; Stanimirović, Predrag S. 8 2021 Solvability of new constrained quaternion matrix approximation problems based on core-EP inverses. Zbl 1456.15014 Kyrchei, Ivan; Mosić, Dijana; Stanimirović, Predrag S. 6 2021 Determinantal representations of solutions to systems of two-sided quaternion matrix equations. Zbl 1468.15009 Kyrchei, Ivan 4 2021 Weighted minimization problems for quaternion matrices. Zbl 1472.15042 Kyrchei, Ivan I.; Mosić, Dijana; Stanimirović, Predrag S. 3 2021 Weighted quaternion core-EP, DMP, MPD, and CMP inverses and their determinantal representations. Zbl 1451.15005 Kyrchei, Ivan 17 2020 Determinantal representations of the weighted core-EP, DMP, MPD, and CMP inverses. Zbl 1450.15005 Kyrchei, Ivan I. 5 2020 Explicit formulas and determinantal representation for \(\eta\)-skew-Hermitian solution to a system of quaternion matrix equations. Zbl 1499.15054 Rehman, Abdur; Kyrchei, Ivan; Ali, Ilyas; Akram, Muhammad; Shakoor, Abdul 5 2020 Determinantal representations of general and (skew-)Hermitian solutions to the generalized Sylvester-type quaternion matrix equation. Zbl 1474.15041 Kyrchei, Ivan I. 19 2019 Determinantal representations of the quaternion core inverse and its generalizations. Zbl 1436.15004 Kyrchei, Ivan 19 2019 Determinantal representations of the core inverse and its generalizations with applications. Zbl 1448.15009 Kyrchei, Ivan I. 16 2019 Cramer’s rules of \(\eta \)-(skew-)Hermitian solutions to the quaternion Sylvester-type matrix equations. Zbl 1415.15016 Kyrchei, Ivan 15 2019 Least-norm of the general solution to some system of quaternion matrix equations and its determinantal representations. Zbl 1457.15017 Rehman, 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 1435.15013 Rehman, Abdur; Kyrchei, Ivan; Ali, Ilyas; Akram, Muhammad; Shakoor, Abdul 4 2019 Determinantal representations of solutions to systems of quaternion matrix equations. Zbl 1391.15057 Kyrchei, Ivan 33 2018 Cramer’s rules for Sylvester quaternion matrix equation and its special cases. Zbl 1404.15013 Kyrchei, Ivan 31 2018 Explicit determinantal representation formulas for the solution of the two-sided restricted quaternionic matrix equation. Zbl 1396.15014 Kyrchei, Ivan I. 18 2018 Determinantal representations of solutions and Hermitian solutions to some system of two-sided quaternion matrix equations. Zbl 1487.15017 Kyrchei, Ivan I. 11 2018 Weighted singular value decomposition and determinantal representations of the quaternion weighted Moore-Penrose inverse. Zbl 1411.15025 Kyrchei, Ivan 20 2017 Cramer’s rules for some Hermitian coquaternionic matrix equations. Zbl 1382.15022 Kyrchei, Ivan 5 2017 Explicit determinantal representation formulas of \(W\)-weighted Drazin inverse solutions of some matrix equations over the quaternion skew field. Zbl 1400.15009 Kyrchei, Ivan I. 19 2016 Determinantal representations of the W-weighted Drazin inverse over the quaternion skew field. Zbl 1410.15009 Kyrchei, Ivan 31 2015 The column and row immanants over a split quaternion algebra. Zbl 1328.15015 Kyrchei, Ivan 4 2015 Determinantal representations of the Drazin inverse over the quaternion skew field with applications to some matrix equations. Zbl 1334.15012 Kyrchei, Ivan 41 2014 Explicit representation formulas for the minimum norm least squares solutions of some quaternion matrix equations. Zbl 1255.15022 Kyrchei, Ivan 51 2013 Explicit formulas for determinantal representations of the Drazin inverse solutions of some matrix and differential matrix equations. Zbl 1291.15040 Kyrchei, Ivan 22 2013 Analogs of Cramer’s rule for the minimum norm least squares solutions of some matrix equations. Zbl 1242.65078 Kyrchei, Ivan 21 2012 Determinantal representations of the Moore-Penrose inverse over the quaternion skew field and corresponding Cramer’s rules. Zbl 1220.15007 Kyrchei, I. I. 39 2011 Cramer’s rule for some quaternion matrix equations. Zbl 1205.15026 Kyrchei, I. I. 32 2010 Cramer’s rule for quaternionic systems of linear equations. Zbl 1157.15308 Kyrchei, I. I. 44 2008 Analogs of the adjoint matrix for generalized inverses and corresponding Cramer rules. Zbl 1141.15005 Kyrchei, I. I. 25 2008 An analogue of adjoint matrix over skew field with involution. Zbl 1086.15507 Kyrchei, I. I. 1 2003 all cited Publications top 5 cited Publications all top 5 Cited by 184 Authors 41 Kyrchei, Ivan I. 35 Mosić, Dijana 24 Stanimirović, Predrag S. 17 He, ZhuoHeng 17 Wang, Qingwen 12 Song, Guangjing 8 Thome, Néstor 6 Hajarian, Masoud 6 Rehman, Abdur 6 Wang, Jinrong 6 Yuan, Shifang 6 Zhang, Daochang 5 Fečkan, Michal 5 Liu, Xiaoji 5 Wang, Xiangxiang 5 Zhang, Yang 4 Ali, Ilyas 4 Dong, Changzhou 4 Katsikis, Vasilios N. 4 Liu, Xin 4 Ma, Haifeng 4 Mishra, Debasisha 3 Behera, Ratikanta 3 Dehghan Takht Fooladi, Mehdi 3 Ferreyra, David Eduardo 3 Gupta, Dharmendra Kumar 3 Ji, Jun 3 Kumar, Amit 3 Lattanzi, Marina Beatriz 3 Li, Ying 3 Liu, Longsheng 3 Sahoo, Jajati Keshari 3 Shakoor, Abdul 3 Shekhar, Vaibhav 3 Sheng, Xingping 3 Shirilord, Akbar 3 Srivastava, Shwetabh 3 Wang, Meng 3 Wei, Yimin 3 Yu, Shaowen 3 Yu, Yaoming 3 Zhao, Jianli 2 Chang, Haixia 2 Chen, Guoliang 2 Chen, Jianlong 2 Hernández, María Valeria 2 Jiang, Tongsong 2 Kou, Kit-Ian 2 Li, Mingzhao 2 Marovt, Janko 2 Purushothama, Divya Shenoy 2 Qin, Wei-Lu 2 Soleymani, Fazlollah 2 Stojanović, Katarina S. 2 Stupina, Alena A. 2 Tian, Yong 2 Wang, Gang 2 Wang, Long 2 Wang, Xuezhong 2 Xia, Yonghui 2 Zhang, Dong 2 Zhang, Yuping 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 Be, Aaisha 1 Cai, Naping 1 Chalco-Cano, Yurilev 1 Chen, Liangyun 1 Chen, Yinlan 1 Cheng, Zhibo 1 Cimadamore, Cecilia Rossana 1 Cobb, John 1 Cong, Zhanlei 1 Cui, Chunfeng 1 Cvetković-Ilić, Dragana S. 1 Ding, Wenxv 1 Ding, Xue 1 Dmytryshyn, Andrii R. 1 Dolinar, Gregor 1 Đorđević, Dragan S. 1 El Behady, Eid E. 1 El-Sayed, Ehab A. 1 Fan, Xueling 1 Fan, Ziyao 1 Fu, Teng 1 Guo, Zhenwei 1 He, Fuli 1 Hu, Jianping 1 Huang, Huajun 1 Huang, Liji 1 Huang, Song 1 Ibrahim, Tarek Fawzi 1 Jebreen, Haifa Bin 1 Jiang, Hua 1 Jin, Hongwei ...and 84 more Authors all top 5 Cited in 64 Serials 23 Advances in Applied Clifford Algebras 19 Applied Mathematics and Computation 16 Linear and Multilinear Algebra 14 Computational and Applied Mathematics 11 Journal of Applied Mathematics and Computing 8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 Mathematical Problems in Engineering 6 Qualitative Theory of Dynamical Systems 5 Computers & Mathematics with Applications 5 ELA. The Electronic Journal of Linear Algebra 4 Mathematical Methods in the Applied Sciences 4 Journal of Computational and Applied Mathematics 4 Bulletin of the Iranian Mathematical Society 4 Abstract and Applied Analysis 4 Journal of Mathematics 3 Linear Algebra and its Applications 3 Filomat 3 Journal of Applied Mathematics 3 AIMS Mathematics 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 Mathematica Slovaca 2 Numerical Functional Analysis and Optimization 2 Aequationes Mathematicae 2 Asian Journal of Control 1 Discrete Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of the Franklin Institute 1 Rocky Mountain Journal of Mathematics 1 Monatshefte für Mathematik 1 Quaestiones Mathematicae 1 Results in Mathematics 1 Studies in Applied Mathematics 1 Topology and its Applications 1 Bulletin of the Korean Mathematical Society 1 Applied Numerical Mathematics 1 Journal of Scientific Computing 1 Numerical Algorithms 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 The Australian Journal of Mathematical Analysis and Applications 1 Boundary Value Problems 1 Banach Journal of Mathematical Analysis 1 Advances in Mathematical Physics 1 Communications in Mathematical Research 1 Annals of Functional Analysis 1 Afrika Matematika 1 Numerical Algebra, Control and Optimization 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 25 Fields 180 Linear and multilinear algebra; matrix theory (15-XX) 55 Numerical analysis (65-XX) 12 Operator theory (47-XX) 9 Ordinary differential equations (34-XX) 8 Number theory (11-XX) 6 Functional analysis (46-XX) 5 Systems theory; control (93-XX) 4 Associative rings and algebras (16-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Group theory and generalizations (20-XX) 3 Difference and functional equations (39-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 General topology (54-XX) 2 Computer science (68-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-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) 1 Statistics (62-XX) Citations by Year