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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
External Links: Wikidata
Documents Indexed: 60 Publications since 2000, including 2 Books

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 616 times in 325 Documents Cited by Year
Core inverse of matrices. Zbl 1202.15009
Baksalary, Oskar Maria; Trenkler, Götz
136
2010
Idempotency of linear combinations of two idempotent matrices. Zbl 0984.15021
Baksalary, Jerzy K.; Baksalary, Oskar Maria
42
2000
On a generalized core inverse. Zbl 1334.15009
Baksalary, Oskar Maria; Trenkler, Götz
26
2014
Nonsingularity of linear combinations of idempotent matrices. Zbl 1081.15017
Baksalary, Jerzy K.; Baksalary, Oskar Maria
23
2004
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.
23
2002
A note on linear combinations of commuting tripotent matrices. Zbl 1057.15018
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Özdemir, Halim
22
2004
On a matrix decomposition of Hartwig and Spindelböck. Zbl 1180.15004
Baksalary, Oskar Maria; Styan, George P. H.; Trenkler, Götz
20
2009
Characterizations of EP, normal, and Hermitian matrices. Zbl 1151.15023
Baksalary, Oskar Maria; Trenkler, Götz
20
2008
Idempotency of linear combinations of three idempotent matrices, two of which are disjoint. Zbl 1081.15019
Baksalary, Oskar Maria
18
2004
Idempotency of linear combinations of three idempotent matrices, two of which are commuting. Zbl 1119.15025
Baksalary, Oskar Maria; Benítez, Julio
17
2007
Further properties of the star, left-star, right-star, and minus partial orderings. Zbl 1048.15016
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Liu, Xiaoji
15
2003
Further results on generalized and hypergeneralized projectors. Zbl 1151.15022
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Liu, Xiaoji; Trenkler, Götz
15
2008
Column space equalities for orthogonal projectors. Zbl 1169.15007
Baksalary, Oskar Maria; Trenkler, Götz
13
2009
Revisitation of the product of two orthogonal projectors. Zbl 1167.15018
Baksalary, Oskar Maria; Trenkler, Götz
12
2009
Further properties of generalized and hypergeneralized projectors. Zbl 1068.15036
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Liu, Xiaoji
12
2004
A property of orthogonal projectors. Zbl 1025.15039
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Szulc, Tomasz
12
2002
When is a linear combination of two idempotent matrices the group involutory matrix? Zbl 1112.15009
Baksalary, Jerzy K.; Baksalary, Oskar Maria
12
2006
On disjoint range matrices. Zbl 1221.15005
Baksalary, Oskar Maria; Trenkler, Götz
11
2011
Particular formulae for the Moore–Penrose inverse of a columnwise partitioned matrix. Zbl 1116.15003
Baksalary, Jerzy K.; Baksalary, Oskar Maria
11
2007
On angles and distances between subspaces. Zbl 1177.15024
Baksalary, Oskar Maria; Trenkler, Götz
11
2009
An invariance property related to the reverse order law. Zbl 1085.15004
Baksalary, Jerzy K.; Baksalary, Oskar Maria
10
2005
A projector oriented approach to the best linear unbiased estimator. Zbl 1247.62165
Baksalary, Oskar Maria; Trenkler, Götz
10
2009
On linear combinations of generalized projectors. Zbl 1081.15016
Baksalary, Jerzy K.; Baksalary, Oskar Maria
9
2004
Commutativity of projectors. Zbl 0997.15011
Baksalary, Jerzy K.; Baksalary, Oskar Maria
9
2002
Functions of orthogonal projectors involving the Moore-Penrose inverse. Zbl 1189.15004
Baksalary, Oskar Maria; Trenkler, Götz
9
2010
Rank formulae from the perspective of orthogonal projectors. Zbl 1220.15005
Baksalary, Oskar Maria; Trenkler, Götz
8
2011
On commutativity of projectors. Zbl 1221.15024
Baksalary, Oskar Maria; Kik, Paulina
8
2006
A revisitation of formulae for the Moore-Penrose inverse of modified matrices. Zbl 1038.15001
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Trenkler, Götz
8
2003
Eigenvalues of functions of orthogonal projectors. Zbl 1177.15010
Baksalary, Oskar Maria; Trenkler, Götz
8
2009
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
Generalizations of a property of orthogonal projectors. Zbl 1111.15016
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Kik, Paulina
5
2007
On the equality between rank and trace of an idempotent matrix. Zbl 1206.15006
Baksalary, Oskar Maria; Bernstein, Dennis S.; Trenkler, Götz
5
2010
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
Let us do the twist again. Zbl 1416.62386
Baksalary, Oskar Maria; Trenkler, Götz; Liski, Erkki
4
2013
On \(k\)-potent matrices. Zbl 1283.15043
Baksalary, Oskar Maria; Trenkler, Götz
4
2013
Properties of Schur complements in partitioned idempotent matrices. Zbl 1043.15019
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Szulc, Tomasz
4
2004
Further relationships between certain partial orders of matrices and their squares. Zbl 1048.15017
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Liu, Xiaoji
4
2003
An alternative approach to characterize the commutativity of orthogonal projectors. Zbl 1155.15017
Baksalary, Oskar Maria; Trenkler, Götz
3
2008
On linear combinations of two commuting hypergeneralized projectors. Zbl 1165.15300
Baksalary, Oskar Maria; Benítez, Julio
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 a pair of vector spaces. Zbl 1292.15002
Baksalary, Oskar Maria; Trenkler, Götz
2
2013
Subsets and subspaces. Zbl 1188.15002
Baksalary, Oskar Maria; Trenkler, Götz
2
2010
On the entries of orthogonal projection matrices. Zbl 1266.15048
Baksalary, Oskar Maria; Trenkler, Götz
1
2013
Eigenspaces of the proper rotation matrices. Zbl 1292.97033
Baksalary, Oskar Maria; Trenkler, Götz
1
2010
A simple metric for finite dimensional vector spaces. Zbl 1313.15002
Baksalary, Oskar Maria; Trenkler, Götz
1
2012
On a generalized core inverse. Zbl 1334.15009
Baksalary, Oskar Maria; Trenkler, Götz
26
2014
On column and null spaces of functions of a pair of oblique projectors. Zbl 1277.15006
Baksalary, Oskar Maria; Trenkler, Götz
4
2013
Let us do the twist again. Zbl 1416.62386
Baksalary, Oskar Maria; Trenkler, Götz; Liski, Erkki
4
2013
On \(k\)-potent matrices. Zbl 1283.15043
Baksalary, Oskar Maria; Trenkler, Götz
4
2013
On a pair of vector spaces. Zbl 1292.15002
Baksalary, Oskar Maria; Trenkler, Götz
2
2013
On the entries of orthogonal projection matrices. Zbl 1266.15048
Baksalary, Oskar Maria; Trenkler, Götz
1
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
11
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
136
2010
Functions of orthogonal projectors involving the Moore-Penrose inverse. Zbl 1189.15004
Baksalary, Oskar Maria; Trenkler, Götz
9
2010
On a subspace metric based on matrix rank. Zbl 1202.15026
Baksalary, Oskar Maria; Trenkler, Götz
6
2010
On the equality between rank and trace of an idempotent matrix. Zbl 1206.15006
Baksalary, Oskar Maria; Bernstein, Dennis S.; Trenkler, Götz
5
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
20
2009
Column space equalities for orthogonal projectors. Zbl 1169.15007
Baksalary, Oskar Maria; Trenkler, Götz
13
2009
Revisitation of the product of two orthogonal projectors. Zbl 1167.15018
Baksalary, Oskar Maria; Trenkler, Götz
12
2009
On angles and distances between subspaces. Zbl 1177.15024
Baksalary, Oskar Maria; Trenkler, Götz
11
2009
A projector oriented approach to the best linear unbiased estimator. Zbl 1247.62165
Baksalary, Oskar Maria; Trenkler, Götz
10
2009
Eigenvalues of functions of orthogonal projectors. Zbl 1177.15010
Baksalary, Oskar Maria; Trenkler, Götz
8
2009
Characterizations of EP, normal, and Hermitian matrices. Zbl 1151.15023
Baksalary, Oskar Maria; Trenkler, Götz
20
2008
Further results on generalized and hypergeneralized projectors. Zbl 1151.15022
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Liu, Xiaoji; Trenkler, Götz
15
2008
An alternative approach to characterize the commutativity of orthogonal projectors. Zbl 1155.15017
Baksalary, Oskar Maria; Trenkler, Götz
3
2008
On linear combinations of two commuting hypergeneralized projectors. Zbl 1165.15300
Baksalary, Oskar Maria; Benítez, Julio
3
2008
Idempotency of linear combinations of three idempotent matrices, two of which are commuting. Zbl 1119.15025
Baksalary, Oskar Maria; Benítez, Julio
17
2007
Particular formulae for the Moore–Penrose inverse of a columnwise partitioned matrix. Zbl 1116.15003
Baksalary, Jerzy K.; Baksalary, Oskar Maria
11
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
12
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
10
2005
Nonsingularity of linear combinations of idempotent matrices. Zbl 1081.15017
Baksalary, Jerzy K.; Baksalary, Oskar Maria
23
2004
A note on linear combinations of commuting tripotent matrices. Zbl 1057.15018
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Özdemir, Halim
22
2004
Idempotency of linear combinations of three idempotent matrices, two of which are disjoint. Zbl 1081.15019
Baksalary, Oskar Maria
18
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
9
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
15
2003
A revisitation of formulae for the Moore-Penrose inverse of modified matrices. Zbl 1038.15001
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Trenkler, Götz
8
2003
Further relationships between certain partial orders of matrices and their squares. Zbl 1048.15017
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Liu, Xiaoji
4
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.
23
2002
A property of orthogonal projectors. Zbl 1025.15039
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Szulc, Tomasz
12
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
42
2000
all top 5

Cited by 230 Authors

39 Baksalary, Oskar Maria
38 Chen, Jianlong
38 Mosić, Dijana
24 Benítez Lopez, Julio
24 Thome, Néstor
23 Liu, Xiaoji
23 Trenkler, Götz
17 Deng, Chunyuan
14 Cvetković-Ilić, Dragana S.
12 Đorđević, Dragan S.
12 Tian, Yongge
11 Baksalary, Jerzy K.
11 Özdemir, Halim
11 Wang, Hongxing
11 Xu, Sanzhang
10 Stanimirović, Predrag S.
9 Li, Tingting
9 Ma, Haifeng
9 Patrício, Pedro
9 Zhou, Mengmeng
8 Gao, Yuefeng
7 Puntanen, Simo
7 Rakić, Dragan S.
7 Wei, Yimin
6 Kyrchei, Ivan I.
6 Zhu, Huihui
5 Du, Hongke
5 Ferreyra, David E.
5 Rakočević, Vladimir
5 Zuo, Kezheng
4 Lattanzi, Marina Beatriz
4 Levis, Fabián Eduardo
4 Malik, Saroj B.
4 Markiewicz, Augustyn
4 Marovt, Janko
4 Uç, Mahmut
4 Xu, Qingxiang
3 Boasso, Enrico
3 Corach, Gustavo
3 Djikić, Marko S.
3 Hurley, Ted
3 Katsikis, Vasilios N.
3 Lebtahi, Leila
3 Özban, Ahmet Yasar
3 Sarduvan, Murat
3 Sivakumar, Koratti Chengalrayan
3 Styan, George P. H.
3 Tošić, Marina
3 Wang, Dingguo
3 Wang, Long
3 Wu, Lingling
3 Yu, Anqi
3 Yu, Yaoming
3 Zou, Honglin
2 Behera, Ratikanta
2 Bernstein, Dennis S.
2 Catral, Minerva
2 Chen, Xiaofeng
2 Coll, Carmen
2 Dinčić, Nebojša Č.
2 Dolinar, Gregor
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 Jiang, Bo
2 Kala, Radosław
2 Ke, Yuanyuan
2 Kik, Paulina
2 Kişi, Emre
2 Koliha, Jerry J.
2 Krishnaswamy, D.
2 Kurata, Hiroshi
2 Kuzma, Bojan
2 Li, Tengfei
2 Li, Yuan
2 Liu, Xifu
2 Lone, Mohd Saleem
2 Petik, Tuǧba
2 Prasad, K. Manjunatha
2 Rueda, Laura A.
2 Sahoo, Jajati Keshari
2 Stuart, Jeffrey L.
2 Szulc, Tomasz
2 Ungor, Burcu
2 Xiong, Zhiping
2 Xu, Chuang
2 Zhang, Daochang
2 Zhou, Yukun
1 Aminov, Behzod Rasulovich
1 Andruchow, Esteban
1 Ansari, Ahmad
1 Arias, M. Laura
1 Beylkin, Gregory
1 Böttcher, Albrecht
1 Brzdęk, Janusz
...and 130 more Authors
all top 5

Cited in 64 Serials

70 Linear and Multilinear Algebra
66 Linear Algebra and its Applications
41 Applied Mathematics and Computation
12 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
7 Communications in Algebra
7 Statistical Papers
6 Journal of Mathematical Analysis and Applications
6 Aequationes Mathematicae
6 Frontiers of Mathematics in China
5 Indian Journal of Pure & Applied Mathematics
5 Quaestiones Mathematicae
4 Computational and Applied Mathematics
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Journal of Algebra and its Applications
4 Banach Journal of Mathematical Analysis
4 Journal of Mathematics
3 Computers & Mathematics with Applications
3 Applied Mathematics Letters
3 Advances in Applied Clifford Algebras
3 Abstract and Applied Analysis
3 Mediterranean Journal of Mathematics
3 Open Mathematics
2 Journal of Computational and Applied Mathematics
2 Results in Mathematics
2 Communications in Statistics. Theory and Methods
2 ELA. The Electronic Journal of Linear Algebra
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 Special Matrices
2 Journal of Linear and Topological Algebra
1 Discrete Mathematics
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 Automatica
1 Calcolo
1 Proceedings of the American Mathematical Society
1 Bulletin of the Korean Mathematical Society
1 Chinese Annals of Mathematics. Series B
1 Bulletin of the Iranian Mathematical Society
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 Numerical Linear Algebra with Applications
1 Turkish Journal of Mathematics
1 Mathematical Communications
1 Journal of Inequalities and Applications
1 Australian & New Zealand Journal of Statistics
1 Journal of the Australian Mathematical Society
1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
1 International Journal of Wavelets, Multiresolution and Information Processing
1 Complex Analysis and Operator Theory
1 Electronic Journal of Statistics
1 Annals of Functional Analysis
1 Symmetry
1 ISRN Applied Mathematics
1 Algebra

Citations by Year

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