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Author ID: kyrchei.ivan Recent zbMATH articles by "Kyrchei, Ivan I."
Published as: Kyrchei, Ivan; Kyrchei, Ivan I.; Kyrchei, I. I.
Homepage: http://iapmm.lviv.ua/12/files/st_files/kyrchei/kyrchei_e.htm
External Links: ResearchGate

Publications by Year

Citations contained in zbMATH Open

36 Publications have been cited 567 times in 176 Documents Cited by Year
Explicit representation formulas for the minimum norm least squares solutions of some quaternion matrix equations. Zbl 1255.15022
Kyrchei, Ivan
48
2013
Cramer’s rule for quaternionic systems of linear equations. Zbl 1157.15308
Kyrchei, I. I.
42
2008
Determinantal representations of the Drazin inverse over the quaternion skew field with applications to some matrix equations. Zbl 1334.15012
Kyrchei, Ivan
39
2014
Determinantal representations of the Moore-Penrose inverse over the quaternion skew field and corresponding Cramer’s rules. Zbl 1220.15007
Kyrchei, I. I.
37
2011
Determinantal representations of solutions to systems of quaternion matrix equations. Zbl 1391.15057
Kyrchei, Ivan
32
2018
Cramer’s rule for some quaternion matrix equations. Zbl 1205.15026
Kyrchei, I. I.
30
2010
Determinantal representations of the W-weighted Drazin inverse over the quaternion skew field. Zbl 1410.15009
Kyrchei, Ivan
28
2015
Cramer’s rules for Sylvester quaternion matrix equation and its special cases. Zbl 1404.15013
Kyrchei, Ivan
27
2018
Analogs of the adjoint matrix for generalized inverses and corresponding Cramer rules. Zbl 1141.15005
Kyrchei, I. I.
24
2008
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 quaternion core inverse and its generalizations. Zbl 1436.15004
Kyrchei, Ivan
19
2019
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 formulas for determinantal representations of the Drazin inverse solutions of some matrix and differential matrix equations. Zbl 1291.15040
Kyrchei, Ivan
19
2013
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
Explicit determinantal representation formulas for the solution of the two-sided restricted quaternionic matrix equation. Zbl 1396.15014
Kyrchei, Ivan I.
18
2018
Weighted singular value decomposition and determinantal representations of the quaternion weighted Moore-Penrose inverse. Zbl 1411.15025
Kyrchei, Ivan
18
2017
Weighted quaternion core-EP, DMP, MPD, and CMP inverses and their determinantal representations. Zbl 1451.15005
Kyrchei, Ivan
16
2020
Determinantal representations of the core inverse and its generalizations with applications. Zbl 1448.15009
Kyrchei, Ivan I.
15
2019
Cramer’s rules of \(\eta \)-(skew-)Hermitian solutions to the quaternion Sylvester-type matrix equations. Zbl 1415.15016
Kyrchei, Ivan
14
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
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.
8
2021
Representations and properties for the MPCEP inverse. Zbl 1490.15005
Mosić, Dijana; Kyrchei, Ivan I.; Stanimirović, Predrag S.
8
2021
MPD-DMP-solutions to quaternion two-sided restricted matrix equations. Zbl 1476.15005
Kyrchei, Ivan I.; Mosić, Dijana; Stanimirović, Predrag
7
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
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
Cramer’s rules for some Hermitian coquaternionic matrix equations. Zbl 1382.15022
Kyrchei, Ivan
5
2017
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 the weighted core-EP, DMP, MPD, and CMP inverses. Zbl 1450.15005
Kyrchei, Ivan I.
5
2020
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
The column and row immanants over a split quaternion algebra. Zbl 1328.15015
Kyrchei, Ivan
3
2015
Weighted minimization problems for quaternion matrices. Zbl 1472.15042
Kyrchei, Ivan I.; Mosić, Dijana; Stanimirović, Predrag S.
3
2021
An analogue of adjoint matrix over skew field with involution. Zbl 1086.15507
Kyrchei, I. I.
1
2003
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
MPCEP-\(*\)CEPMP-solutions of some restricted quaternion matrix equations. Zbl 1484.15014
Kyrchei, Ivan I.; Mosić, Dijana; Stanimirović, Predrag S.
4
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
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.
8
2021
Representations and properties for the MPCEP inverse. Zbl 1490.15005
Mosić, Dijana; Kyrchei, Ivan I.; Stanimirović, Predrag S.
8
2021
MPD-DMP-solutions to quaternion two-sided restricted matrix equations. Zbl 1476.15005
Kyrchei, Ivan I.; Mosić, Dijana; Stanimirović, Predrag
7
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
16
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 the weighted core-EP, DMP, MPD, and CMP inverses. Zbl 1450.15005
Kyrchei, Ivan I.
5
2020
Determinantal representations of the quaternion core inverse and its generalizations. Zbl 1436.15004
Kyrchei, Ivan
19
2019
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 core inverse and its generalizations with applications. Zbl 1448.15009
Kyrchei, Ivan I.
15
2019
Cramer’s rules of \(\eta \)-(skew-)Hermitian solutions to the quaternion Sylvester-type matrix equations. Zbl 1415.15016
Kyrchei, Ivan
14
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
32
2018
Cramer’s rules for Sylvester quaternion matrix equation and its special cases. Zbl 1404.15013
Kyrchei, Ivan
27
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
18
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
28
2015
The column and row immanants over a split quaternion algebra. Zbl 1328.15015
Kyrchei, Ivan
3
2015
Determinantal representations of the Drazin inverse over the quaternion skew field with applications to some matrix equations. Zbl 1334.15012
Kyrchei, Ivan
39
2014
Explicit representation formulas for the minimum norm least squares solutions of some quaternion matrix equations. Zbl 1255.15022
Kyrchei, Ivan
48
2013
Explicit formulas for determinantal representations of the Drazin inverse solutions of some matrix and differential matrix equations. Zbl 1291.15040
Kyrchei, Ivan
19
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.
37
2011
Cramer’s rule for some quaternion matrix equations. Zbl 1205.15026
Kyrchei, I. I.
30
2010
Cramer’s rule for quaternionic systems of linear equations. Zbl 1157.15308
Kyrchei, I. I.
42
2008
Analogs of the adjoint matrix for generalized inverses and corresponding Cramer rules. Zbl 1141.15005
Kyrchei, I. I.
24
2008
An analogue of adjoint matrix over skew field with involution. Zbl 1086.15507
Kyrchei, I. I.
1
2003
all top 5

Cited by 156 Authors

39 Kyrchei, Ivan I.
32 Mosić, Dijana
23 Stanimirović, Predrag S.
15 Wang, Qingwen
14 He, ZhuoHeng
11 Song, Guangjing
7 Thome, Néstor
6 Hajarian, Masoud
6 Rehman, Abdur
6 Wang, Jinrong
6 Yuan, Shifang
5 Fečkan, Michal
5 Liu, Xiaoji
5 Zhang, Daochang
4 Ali, Ilyas
4 Dong, Changzhou
4 Katsikis, Vasilios N.
4 Liu, Xin
4 Ma, Haifeng
4 Wang, Xiangxiang
4 Zhang, Yang
3 Behera, Ratikanta
3 Ferreyra, David Eduardo
3 Lattanzi, Marina Beatriz
3 Li, Ying
3 Liu, Longsheng
3 Mishra, Debasisha
3 Sahoo, Jajati Keshari
3 Shakoor, Abdul
3 Sheng, Xingping
3 Wei, Yimin
3 Yu, Shaowen
3 Yu, Yaoming
3 Zhao, Jianli
2 Chang, Haixia
2 Chen, Guoliang
2 Chen, Jianlong
2 Gupta, Dharmendra Kumar
2 Hernández, M. V.
2 Ji, Jun
2 Jiang, Tongsong
2 Kumar, Amit
2 Li, Mingzhao
2 Shekhar, Vaibhav
2 Soleymani, Fazlollah
2 Srivastava, Shwetabh
2 Stojanović, Katarina S.
2 Stupina, Alena A.
2 Tian, Yong
2 Wang, Gang
2 Wang, Long
2 Wang, Meng
2 Wang, Xuezhong
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 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 Fan, Xueling
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
1 Kansal, Munish
1 Kasman, Alex
1 Kaur, Manpreet
1 Kazakovtsev, Lev A.
1 Kou, Kit-Ian
1 Kumar, Sanjeev
1 Levis, Fabián Eduardo
1 Li, Ning
1 Liu, Lina
1 Liu, Qiaohua
1 Liu, Wankai
1 Lv, Ru-Yuan
1 Macias-Virgós, Enrique
...and 56 more Authors
all top 5

Cited in 57 Serials

23 Advances in Applied Clifford Algebras
18 Applied Mathematics and Computation
14 Linear and Multilinear Algebra
10 Computational and Applied Mathematics
10 Journal of Applied Mathematics and Computing
8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
5 Computers & Mathematics with Applications
5 ELA. The Electronic Journal of Linear Algebra
5 Mathematical Problems in Engineering
5 Qualitative Theory of Dynamical Systems
4 Bulletin of the Iranian Mathematical Society
4 Abstract and Applied Analysis
4 Journal of Mathematics
3 Journal of Computational and Applied Mathematics
3 Linear Algebra and its Applications
3 Filomat
3 Journal of Applied Mathematics
3 AIMS Mathematics
2 Journal of Mathematical Physics
2 Mathematical Methods in the Applied Sciences
2 Numerical Functional Analysis and Optimization
2 Aequationes Mathematicae
2 Asian Journal of Control
1 Journal of Mathematical Analysis and Applications
1 Rocky Mountain Journal of Mathematics
1 Mathematica Slovaca
1 Monatshefte für Mathematik
1 Quaestiones Mathematicae
1 Results in Mathematics
1 Topology and its Applications
1 Bulletin of the Korean Mathematical Society
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 Banach Journal of Mathematical Analysis
1 Advances in Mathematical Physics
1 Communications in Mathematical Research
1 Annals of Functional Analysis
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

Citations by Year