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Baksalary, Oskar Maria

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Author ID: baksalary.oskar-maria Recent zbMATH articles by "Baksalary, Oskar Maria"
Published as: Baksalary, Oskar Maria
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Publications by Year

Citations contained in zbMATH Open

53 Publications have been cited 775 times in 418 Documents Cited by Year
Core inverse of matrices. Zbl 1202.15009
Baksalary, Oskar Maria; Trenkler, Götz
204
2010
Idempotency of linear combinations of two idempotent matrices. Zbl 0984.15021
Baksalary, Jerzy K.; Baksalary, Oskar Maria
48
2000
On a generalized core inverse. Zbl 1334.15009
Baksalary, Oskar Maria; Trenkler, Götz
43
2014
On a matrix decomposition of Hartwig and Spindelböck. Zbl 1180.15004
Baksalary, Oskar Maria; Styan, George P. H.; Trenkler, Götz
30
2009
Idempotency of linear combinations of an idempotent matrix and a tripotent matrix. Zbl 1016.15027
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Styan, George P. H.
26
2002
Characterizations of EP, normal, and Hermitian matrices. Zbl 1151.15023
Baksalary, Oskar Maria; Trenkler, Götz
25
2008
A note on linear combinations of commuting tripotent matrices. Zbl 1057.15018
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Özdemir, Halim
25
2004
Nonsingularity of linear combinations of idempotent matrices. Zbl 1081.15017
Baksalary, Jerzy K.; Baksalary, Oskar Maria
23
2004
Idempotency of linear combinations of three idempotent matrices, two of which are commuting. Zbl 1119.15025
Baksalary, Oskar Maria; Benítez, Julio
20
2007
Idempotency of linear combinations of three idempotent matrices, two of which are disjoint. Zbl 1081.15019
Baksalary, Oskar Maria
19
2004
Further properties of the star, left-star, right-star, and minus partial orderings. Zbl 1048.15016
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Liu, Xiaoji
18
2003
Further results on generalized and hypergeneralized projectors. Zbl 1151.15022
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Liu, Xiaoji; Trenkler, Götz
17
2008
Revisitation of the product of two orthogonal projectors. Zbl 1167.15018
Baksalary, Oskar Maria; Trenkler, Götz
16
2009
Column space equalities for orthogonal projectors. Zbl 1169.15007
Baksalary, Oskar Maria; Trenkler, Götz
15
2009
Particular formulae for the Moore–Penrose inverse of a columnwise partitioned matrix. Zbl 1116.15003
Baksalary, Jerzy K.; Baksalary, Oskar Maria
15
2007
A property of orthogonal projectors. Zbl 1025.15039
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Szulc, Tomasz
14
2002
On disjoint range matrices. Zbl 1221.15005
Baksalary, Oskar Maria; Trenkler, Götz
13
2011
When is a linear combination of two idempotent matrices the group involutory matrix? Zbl 1112.15009
Baksalary, Jerzy K.; Baksalary, Oskar Maria
13
2006
Further properties of generalized and hypergeneralized projectors. Zbl 1068.15036
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Liu, Xiaoji
12
2004
An invariance property related to the reverse order law. Zbl 1085.15004
Baksalary, Jerzy K.; Baksalary, Oskar Maria
11
2005
A projector oriented approach to the best linear unbiased estimator. Zbl 1247.62165
Baksalary, Oskar Maria; Trenkler, Götz
11
2009
On angles and distances between subspaces. Zbl 1177.15024
Baksalary, Oskar Maria; Trenkler, Götz
11
2009
A revisitation of formulae for the Moore-Penrose inverse of modified matrices. Zbl 1038.15001
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Trenkler, Götz
11
2003
On linear combinations of generalized projectors. Zbl 1081.15016
Baksalary, Jerzy K.; Baksalary, Oskar Maria
10
2004
Functions of orthogonal projectors involving the Moore-Penrose inverse. Zbl 1189.15004
Baksalary, Oskar Maria; Trenkler, Götz
10
2010
Commutativity of projectors. Zbl 0997.15011
Baksalary, Jerzy K.; Baksalary, Oskar Maria
9
2002
Eigenvalues of functions of orthogonal projectors. Zbl 1177.15010
Baksalary, Oskar Maria; Trenkler, Götz
9
2009
On commutativity of projectors. Zbl 1221.15024
Baksalary, Oskar Maria; Kik, Paulina
8
2006
Rank formulae from the perspective of orthogonal projectors. Zbl 1220.15005
Baksalary, Oskar Maria; Trenkler, Götz
8
2011
On the equality between rank and trace of an idempotent matrix. Zbl 1206.15006
Baksalary, Oskar Maria; Bernstein, Dennis S.; Trenkler, Götz
7
2010
On \(k\)-potent matrices. Zbl 1283.15043
Baksalary, Oskar Maria; Trenkler, Götz
6
2013
On the projectors \(\mathbf F\mathbf F^\dagger\) and \(\mathbf F^\dagger\mathbf F\). Zbl 1222.15003
Baksalary, Oskar Maria; Trenkler, Götz
6
2011
On a subspace metric based on matrix rank. Zbl 1202.15026
Baksalary, Oskar Maria; Trenkler, Götz
6
2010
Between OLSE and BLUE. Zbl 1334.62106
Baksalary, Oskar Maria; Trenkler, Götz
5
2011
Further relationships between certain partial orders of matrices and their squares. Zbl 1048.15017
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Liu, Xiaoji
5
2003
Generalizations of a property of orthogonal projectors. Zbl 1111.15016
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Kik, Paulina
5
2007
Let us do the twist again. Zbl 1416.62386
Baksalary, Oskar Maria; Trenkler, Götz; Liski, Erkki
4
2013
On some linear combinations of hypergeneralized projectors. Zbl 1088.15026
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Groß, Jürgen
4
2006
On column and null spaces of functions of a pair of oblique projectors. Zbl 1277.15006
Baksalary, Oskar Maria; Trenkler, Götz
4
2013
On linear combinations of two commuting hypergeneralized projectors. Zbl 1165.15300
Baksalary, Oskar Maria; Benítez, Julio
4
2008
Properties of Schur complements in partitioned idempotent matrices. Zbl 1043.15019
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Szulc, Tomasz
4
2004
Further characterizations of the co-EP matrices. Zbl 07323364
Zuo, Kezheng; Baksalary, Oskar Maria; Cvetković-Ilić, Dragana
3
2021
An alternative approach to characterize the commutativity of orthogonal projectors. Zbl 1155.15017
Baksalary, Oskar Maria; Trenkler, Götz
3
2008
Relationships between generalized inverses of a matrix and generalized inverses of its rank-one-modifications. Zbl 1060.15010
Baksalary, Jerzy K.; Baksalary, Oskar Maria
2
2004
On the entries of orthogonal projection matrices. Zbl 1266.15048
Baksalary, Oskar Maria; Trenkler, Götz
2
2013
On a pair of vector spaces. Zbl 1292.15002
Baksalary, Oskar Maria; Trenkler, Götz
2
2013
On formulae for the Moore-Penrose inverse of a columnwise partitioned matrix. Zbl 07423605
Baksalary, Oskar Maria; Trenkler, Götz
2
2021
Subsets and subspaces. Zbl 1188.15002
Baksalary, Oskar Maria; Trenkler, Götz
2
2010
On subspace distances determined by the Frobenius norm. Zbl 1286.15027
Baksalary, Oskar Maria; Trenkler, Götz
1
2014
A simple metric for finite dimensional vector spaces. Zbl 1313.15002
Baksalary, Oskar Maria; Trenkler, Götz
1
2012
A partial ordering approach to characterize properties of a pair of orthogonal projectors. Zbl 1477.15003
Baksalary, Oskar Maria; Trenkler, Götz
1
2021
On matrices whose Moore-Penrose inverse is idempotent. Zbl 1493.15009
Baksalary, Oskar Maria; Trenkler, Götz
1
2022
Eigenspaces of the proper rotation matrices. Zbl 1292.97033
Baksalary, Oskar Maria; Trenkler, Götz
1
2010
On matrices whose Moore-Penrose inverse is idempotent. Zbl 1493.15009
Baksalary, Oskar Maria; Trenkler, Götz
1
2022
Further characterizations of the co-EP matrices. Zbl 07323364
Zuo, Kezheng; Baksalary, Oskar Maria; Cvetković-Ilić, Dragana
3
2021
On formulae for the Moore-Penrose inverse of a columnwise partitioned matrix. Zbl 07423605
Baksalary, Oskar Maria; Trenkler, Götz
2
2021
A partial ordering approach to characterize properties of a pair of orthogonal projectors. Zbl 1477.15003
Baksalary, Oskar Maria; Trenkler, Götz
1
2021
On a generalized core inverse. Zbl 1334.15009
Baksalary, Oskar Maria; Trenkler, Götz
43
2014
On subspace distances determined by the Frobenius norm. Zbl 1286.15027
Baksalary, Oskar Maria; Trenkler, Götz
1
2014
On \(k\)-potent matrices. Zbl 1283.15043
Baksalary, Oskar Maria; Trenkler, Götz
6
2013
Let us do the twist again. Zbl 1416.62386
Baksalary, Oskar Maria; Trenkler, Götz; Liski, Erkki
4
2013
On column and null spaces of functions of a pair of oblique projectors. Zbl 1277.15006
Baksalary, Oskar Maria; Trenkler, Götz
4
2013
On the entries of orthogonal projection matrices. Zbl 1266.15048
Baksalary, Oskar Maria; Trenkler, Götz
2
2013
On a pair of vector spaces. Zbl 1292.15002
Baksalary, Oskar Maria; Trenkler, Götz
2
2013
A simple metric for finite dimensional vector spaces. Zbl 1313.15002
Baksalary, Oskar Maria; Trenkler, Götz
1
2012
On disjoint range matrices. Zbl 1221.15005
Baksalary, Oskar Maria; Trenkler, Götz
13
2011
Rank formulae from the perspective of orthogonal projectors. Zbl 1220.15005
Baksalary, Oskar Maria; Trenkler, Götz
8
2011
On the projectors \(\mathbf F\mathbf F^\dagger\) and \(\mathbf F^\dagger\mathbf F\). Zbl 1222.15003
Baksalary, Oskar Maria; Trenkler, Götz
6
2011
Between OLSE and BLUE. Zbl 1334.62106
Baksalary, Oskar Maria; Trenkler, Götz
5
2011
Core inverse of matrices. Zbl 1202.15009
Baksalary, Oskar Maria; Trenkler, Götz
204
2010
Functions of orthogonal projectors involving the Moore-Penrose inverse. Zbl 1189.15004
Baksalary, Oskar Maria; Trenkler, Götz
10
2010
On the equality between rank and trace of an idempotent matrix. Zbl 1206.15006
Baksalary, Oskar Maria; Bernstein, Dennis S.; Trenkler, Götz
7
2010
On a subspace metric based on matrix rank. Zbl 1202.15026
Baksalary, Oskar Maria; Trenkler, Götz
6
2010
Subsets and subspaces. Zbl 1188.15002
Baksalary, Oskar Maria; Trenkler, Götz
2
2010
Eigenspaces of the proper rotation matrices. Zbl 1292.97033
Baksalary, Oskar Maria; Trenkler, Götz
1
2010
On a matrix decomposition of Hartwig and Spindelböck. Zbl 1180.15004
Baksalary, Oskar Maria; Styan, George P. H.; Trenkler, Götz
30
2009
Revisitation of the product of two orthogonal projectors. Zbl 1167.15018
Baksalary, Oskar Maria; Trenkler, Götz
16
2009
Column space equalities for orthogonal projectors. Zbl 1169.15007
Baksalary, Oskar Maria; Trenkler, Götz
15
2009
A projector oriented approach to the best linear unbiased estimator. Zbl 1247.62165
Baksalary, Oskar Maria; Trenkler, Götz
11
2009
On angles and distances between subspaces. Zbl 1177.15024
Baksalary, Oskar Maria; Trenkler, Götz
11
2009
Eigenvalues of functions of orthogonal projectors. Zbl 1177.15010
Baksalary, Oskar Maria; Trenkler, Götz
9
2009
Characterizations of EP, normal, and Hermitian matrices. Zbl 1151.15023
Baksalary, Oskar Maria; Trenkler, Götz
25
2008
Further results on generalized and hypergeneralized projectors. Zbl 1151.15022
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Liu, Xiaoji; Trenkler, Götz
17
2008
On linear combinations of two commuting hypergeneralized projectors. Zbl 1165.15300
Baksalary, Oskar Maria; Benítez, Julio
4
2008
An alternative approach to characterize the commutativity of orthogonal projectors. Zbl 1155.15017
Baksalary, Oskar Maria; Trenkler, Götz
3
2008
Idempotency of linear combinations of three idempotent matrices, two of which are commuting. Zbl 1119.15025
Baksalary, Oskar Maria; Benítez, Julio
20
2007
Particular formulae for the Moore–Penrose inverse of a columnwise partitioned matrix. Zbl 1116.15003
Baksalary, Jerzy K.; Baksalary, Oskar Maria
15
2007
Generalizations of a property of orthogonal projectors. Zbl 1111.15016
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Kik, Paulina
5
2007
When is a linear combination of two idempotent matrices the group involutory matrix? Zbl 1112.15009
Baksalary, Jerzy K.; Baksalary, Oskar Maria
13
2006
On commutativity of projectors. Zbl 1221.15024
Baksalary, Oskar Maria; Kik, Paulina
8
2006
On some linear combinations of hypergeneralized projectors. Zbl 1088.15026
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Groß, Jürgen
4
2006
An invariance property related to the reverse order law. Zbl 1085.15004
Baksalary, Jerzy K.; Baksalary, Oskar Maria
11
2005
A note on linear combinations of commuting tripotent matrices. Zbl 1057.15018
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Özdemir, Halim
25
2004
Nonsingularity of linear combinations of idempotent matrices. Zbl 1081.15017
Baksalary, Jerzy K.; Baksalary, Oskar Maria
23
2004
Idempotency of linear combinations of three idempotent matrices, two of which are disjoint. Zbl 1081.15019
Baksalary, Oskar Maria
19
2004
Further properties of generalized and hypergeneralized projectors. Zbl 1068.15036
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Liu, Xiaoji
12
2004
On linear combinations of generalized projectors. Zbl 1081.15016
Baksalary, Jerzy K.; Baksalary, Oskar Maria
10
2004
Properties of Schur complements in partitioned idempotent matrices. Zbl 1043.15019
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Szulc, Tomasz
4
2004
Relationships between generalized inverses of a matrix and generalized inverses of its rank-one-modifications. Zbl 1060.15010
Baksalary, Jerzy K.; Baksalary, Oskar Maria
2
2004
Further properties of the star, left-star, right-star, and minus partial orderings. Zbl 1048.15016
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Liu, Xiaoji
18
2003
A revisitation of formulae for the Moore-Penrose inverse of modified matrices. Zbl 1038.15001
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Trenkler, Götz
11
2003
Further relationships between certain partial orders of matrices and their squares. Zbl 1048.15017
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Liu, Xiaoji
5
2003
Idempotency of linear combinations of an idempotent matrix and a tripotent matrix. Zbl 1016.15027
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Styan, George P. H.
26
2002
A property of orthogonal projectors. Zbl 1025.15039
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Szulc, Tomasz
14
2002
Commutativity of projectors. Zbl 0997.15011
Baksalary, Jerzy K.; Baksalary, Oskar Maria
9
2002
Idempotency of linear combinations of two idempotent matrices. Zbl 0984.15021
Baksalary, Jerzy K.; Baksalary, Oskar Maria
48
2000
all top 5

Cited by 284 Authors

55 Chen, Jianlong
55 Mosić, Dijana
44 Baksalary, Oskar Maria
29 Thome, Néstor
28 Trenkler, Götz
26 Benítez Lopez, Julio
25 Liu, Xiaoji
20 Deng, Chunyuan
17 Ma, Haifeng
17 Stanimirović, Predrag S.
17 Xu, Sanzhang
16 Cvetković-Ilić, Dragana S.
16 Wang, Hongxing
13 Tian, Yongge
13 Zhou, Mengmeng
12 Đorđević, Dragan S.
12 Li, Tingting
12 Özdemir, Halim
11 Baksalary, Jerzy K.
11 Gao, Yuefeng
11 Zuo, Kezheng
9 Ferreyra, David E.
9 Kyrchei, Ivan I.
9 Patrício, Pedro
9 Wei, Yimin
8 Malik, Saroj B.
8 Rakić, Dragan S.
8 Zhu, Huihui
7 Marovt, Janko
7 Puntanen, Simo
6 Chen, Xiaofeng
6 Lattanzi, Marina Beatriz
6 Wang, Dingguo
6 Zhou, Yukun
5 Du, Hongke
5 Rakočević, Vladimir
5 Sarduvan, Murat
5 Wang, Long
5 Zou, Honglin
4 Djikić, Marko S.
4 Hurley, Ted
4 Levis, Fabián Eduardo
4 Markiewicz, Augustyn
4 Sivakumar, Koratti Chengalrayan
4 Uç, Mahmut
4 Xu, Qingxiang
3 Boasso, Enrico
3 Corach, Gustavo
3 Dinčić, Nebojša Č.
3 Dolinar, Gregor
3 Hernández, M. V.
3 Jiang, Bo
3 Katsikis, Vasilios N.
3 Ke, Yuanyuan
3 Kişi, Emre
3 Kuzma, Bojan
3 Lebtahi, Leila
3 Özban, Ahmet Yasar
3 Petik, Tuǧba
3 Styan, George P. H.
3 Tošić, Marina
3 Wei, Junchao
3 Wu, Lingling
3 Yu, Anqi
3 Yu, Yaoming
3 Zhang, Daochang
2 Behera, Ratikanta
2 Bernstein, Dennis S.
2 Catral, Minerva
2 Cheng, Yingjie
2 Coll, Carmen
2 Deng, Xiaoli
2 Du, Hongmei
2 Fongi, Guillermina
2 Gonzalez, María Celeste
2 Gross, Jürgen
2 Güler, Nesrin
2 Harte, Robin E.
2 Hauke, Jan
2 Hernández, Araceli
2 Isotalo, Jarkko
2 Ji, Jun
2 Kala, Radosław
2 Kik, Paulina
2 Koliha, Jerry J.
2 Krishnaswamy, D.
2 Kurata, Hiroshi
2 Li, Tengfei
2 Li, Yuan
2 Lin, Chujian
2 Liu, Xifu
2 Lone, Mohd Saleem
2 Maestripieri, Alejandra L.
2 Orquera, V.
2 Pablos Romo, Fernando
2 Prasad, K. Manjunatha
2 Rueda, Laura A.
2 Sahoo, Jajati Keshari
2 Stojanović, Katarina S.
2 Stuart, Jeffrey L.
...and 184 more Authors
all top 5

Cited in 80 Serials

92 Linear and Multilinear Algebra
67 Linear Algebra and its Applications
47 Applied Mathematics and Computation
18 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
17 Filomat
10 Communications in Algebra
8 Statistical Papers
8 Journal of Algebra and its Applications
7 Aequationes Mathematicae
6 Indian Journal of Pure & Applied Mathematics
6 Journal of Mathematical Analysis and Applications
6 Quaestiones Mathematicae
6 Computational and Applied Mathematics
6 Frontiers of Mathematics in China
5 Advances in Applied Clifford Algebras
5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
5 Open Mathematics
4 Banach Journal of Mathematical Analysis
4 Journal of Mathematics
4 Special Matrices
3 Computers & Mathematics with Applications
3 Applied Mathematics Letters
3 Turkish Journal of Mathematics
3 ELA. The Electronic Journal of Linear Algebra
3 Abstract and Applied Analysis
3 Mediterranean Journal of Mathematics
2 Automatica
2 Journal of Computational and Applied Mathematics
2 Results in Mathematics
2 Bulletin of the Iranian Mathematical Society
2 Communications in Statistics. Theory and Methods
2 Mathematical Problems in Engineering
2 Wuhan University Journal of Natural Sciences (WUJNS)
2 Journal of Applied Mathematics
2 Central European Journal of Mathematics
2 International Journal of Group Theory
2 Journal of Linear and Topological Algebra
2 AIMS Mathematics
1 Discrete Mathematics
1 Journal of the Franklin Institute
1 Journal of Mathematical Physics
1 Ukrainian Mathematical Journal
1 Beiträge zur Algebra und Geometrie
1 Annals of the Institute of Statistical Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Calcolo
1 Mathematica Slovaca
1 Numerical Functional Analysis and Optimization
1 Proceedings of the American Mathematical Society
1 Bulletin of the Korean Mathematical Society
1 Circuits, Systems, and Signal Processing
1 Chinese Annals of Mathematics. Series B
1 Physica D
1 Facta Universitatis. Series Mathematics and Informatics
1 Mathematical and Computer Modelling
1 SIAM Journal on Matrix Analysis and Applications
1 Glasnik Matematički. Serija III
1 International Journal of Computer Mathematics
1 Computational Statistics and Data Analysis
1 Numerical Linear Algebra with Applications
1 Mathematical Communications
1 Journal of Inequalities and Applications
1 Australian & New Zealand Journal of Statistics
1 Journal of the Australian Mathematical Society
1 Journal of Machine Learning Research (JMLR)
1 Journal of Applied Mathematics and Computing
1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
1 Hacettepe Journal of Mathematics and Statistics
1 Analysis and Applications (Singapore)
1 International Journal of Wavelets, Multiresolution and Information Processing
1 Complex Analysis and Operator Theory
1 Electronic Journal of Statistics
1 Advances and Applications in Discrete Mathematics
1 Acta Universitatis Sapientiae. Mathematica
1 Communications in Mathematical Research
1 Annals of Functional Analysis
1 Symmetry
1 ISRN Applied Mathematics
1 Algebra
1 Advances in Operator Theory

Citations by Year

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