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## Gross, Jürgen

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 Author ID: gross.jurgen Published as: Gross, J.; Gross, Jürgen; Groß, J.; Groß, Jürgen
 Documents Indexed: 59 Publications since 1996, including 3 Books
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#### Co-Authors

 31 single-authored 15 Trenkler, Götz 6 Troschke, Sven-Oliver 4 Markiewicz, Augustyn 3 Puntanen, Simo 2 Hauke, Jan 2 Liski, Erkki P. 1 Baksalary, Jerzy K. 1 Baksalary, Oskar Maria 1 Farebrother, Richard William 1 Tian, Yongge 1 Werner, Hans-Joachim
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#### Serials

 21 Linear Algebra and its Applications 4 International Journal of Mathematical Education in Science and Technology 4 Linear and Multilinear Algebra 3 Journal of Statistical Planning and Inference 3 Statistics & Probability Letters 3 SIAM Journal on Matrix Analysis and Applications 3 Communications in Statistics. Theory and Methods 3 Discussiones Mathematicae. Algebra and Stochastic Methods 2 Sankhyā. Series A. Methods and Techniques 2 Statistics 1 Bulletin of the Malaysian Mathematical Society. Second Series 1 Acta Applicandae Mathematicae 1 Econometric Reviews 1 Statistical Papers 1 Discussiones Mathematicae. Probability and Statistics 1 Lecture Notes in Statistics
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#### Fields

 34 Linear and multilinear algebra; matrix theory (15-XX) 26 Statistics (62-XX) 2 Number theory (11-XX) 2 Geometry (51-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Real functions (26-XX) 1 Probability theory and stochastic processes (60-XX)

#### Citations contained in zbMATH Open

48 Publications have been cited 424 times in 334 Documents Cited by Year
Restricted ridge estimation. Zbl 1116.62368
Groß, Jürgen
2003
Nonnegative-definite and positive-definite solutions to the matrix equation $$\mathbb{A}\times\mathbb{A}^*=\mathbb{B}$$ – revisited. Zbl 0984.15011
Groß, Jürgen
2000
Nonsingularity of the difference of two oblique projectors. Zbl 0946.15020
Gross, Jürgen; Trenkler, Götz
1999
Generalized and hypergeneralized projectors. Zbl 0887.15024
Groß, Jürgen; Trenkler, Götz
1997
The general Gauss-Markov model with possibly singular dispersion matrix. Zbl 1048.62064
Groß, Jürgen
2004
Estimation under a general partitioned linear model. Zbl 0966.62033
Groß, Jürgen; Puntanen, Simo
2000
On the product of orthogonal projectors. Zbl 0945.15015
Groß, Jürgen
1999
A note on the general Hermitian solution to $$AXA^*=B$$. Zbl 1006.15011
Groß, Jürgen
1998
Linear regression. Zbl 1039.62061
Groß, Jürgen
2003
Explicit solutions to the matrix inverse problem $$AX=B$$. Zbl 0941.15010
Groß, Jürgen
1999
Characterizations of admissible linear estimators in the linear model. Zbl 1051.62009
Groß, Jürgen; Markiewicz, Augustyn
2004
On the product of oblique projectors. Zbl 0929.15016
Groß, Jürgen; Trenkler, Götz
1998
The equality of linear transforms of the ordinary least squares estimator and the best linear unbiased estimator. Zbl 1004.62056
Gross, Jürgen; Trenkler, Götz; Werner, Hans Joachim
2001
Matrix representation of quaternions. Zbl 1037.11075
Farebrother, Richard William; Groß, Jürgen; Troschke, Sven-Oliver
2003
A note on the concepts of linear and quadratic sufficiency. Zbl 0937.62005
Groß, Jürgen
1998
Invariance properties of a triple matrix product involving generalized inverses. Zbl 1105.15005
Groß, Jürgen; Tian, Yongge
2006
On semi-orthogonality and a special class of matrices. Zbl 0949.15036
Groß, Jürgen; Trenkler, Götz; Troschke, Sven-Oliver
1999
Comment on range invariance on matrix products. Zbl 0871.15003
Groß, Jürgen
1996
Remarks on the sharp partial order and the ordering of squares of matrices. Zbl 1103.15013
Groß, Jürgen
2006
Quaternions: Further contributions to a matrix oriented approach. Zbl 0981.15014
Groß, Jürgen; Trenkler, Götz; Troschke, Sven-Oliver
2001
A note on the rank-subtractivity ordering. Zbl 0941.15011
Groß, Jürgen
1999
On oblique projection, rank additivity and the Moore-Penrose inverse of the sum of two matrices. Zbl 0942.15002
Groß, Jürgen
1999
On the equality of linear statistics in General Gauss-Markov model. Zbl 1008.62631
Groß, J.; Trenkler, G.
1998
Extensions of the Frisch-Waugh-Lovell theorem. Zbl 1134.62302
Groß, Jürgen; Puntanen, Simo
2005
Löwner partial ordering and space preordering of Hermitian non-negative definite matrices. Zbl 0979.15019
Groß, Jürgen
2001
The Moore-Penrose inverse of a partitioned nonnegative definite matrix. Zbl 0977.15003
Groß, Jürgen
2000
Partial orderings, preorderings, and the polar decomposition of matrices. Zbl 0932.15014
Groß, Jürgen; Hauke, Jan; Markiewicz, Augustyn
1999
A note on equality of MINQUE and simple estimator in the general Gauss-Markov model. Zbl 0888.62057
Groß, Jürgen
1997
On some linear combinations of hypergeneralized projectors. Zbl 1088.15026
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Groß, Jürgen
2006
On admissibility of linear estimators with respect to the mean square error matrix criterion under the general mixed linear model. Zbl 0947.62009
Groß, Jürgen; Markiewicz, Augustyn
1999
Necessary and sufficient conditions for superiority of misspecified restricted least squares regression estimator. Zbl 0981.62047
Groß, Jürgen; Trenkler, Götz; Liski, Erkki P.
1998
Estimation from transformed data under the linear regression model. Zbl 0885.62080
Liski, Erkki P.; Trenkler, Götz; Groß, Jürgen
1997
When do linear transforms of ordinary least squares and Gauss-Markov estimator coincide? Zbl 0884.62070
Groß, Jürgen; Trenkler, Götz
1997
Some remarks on partial orderings of nonnegative definite matrices. Zbl 0934.15024
Groß, Jürgen; Troschke, Sven-Oliver
1997
On properties of $$3\times 3$$ semi-magic squares. Zbl 1017.05028
Gross, J.; Troschke, S.-O.; Trenkler, G.
1999
The vector cross product in $$\mathbb{C}^3$$. Zbl 1018.15027
Gross, Jürgen; Trenkler, Götz; Troschke, Sven-Oliver
1999
Idempotency of the Hermitian part of a complex matrix. Zbl 0945.15014
Groß, Jürgen
1999
On contractions in linear regression. Zbl 0945.62068
Gross, Jürgen
1998
Statistical estimation by a linear combination of two given statistics. Zbl 0920.62067
Groß, Jürgen
1998
More on concavity of a matrix function. Zbl 0912.15031
Gross, Jürgen
1998
On the equality of usual and Amemiya’s partially generalized least squares estimator. Zbl 0954.62547
Groß, Jürgen; Trenkler, Götz
1997
Some comments on matrix partial orderings. Zbl 0907.15016
Groß, Jürgen; Hauke, Jan; Markiewicz, Augustyn
1997
Some remarks concerning the reverse order law. Zbl 0913.15004
Groß, Jürgen
1997
On semi-star-related matrices. Zbl 0934.15025
Groß, Jürgen
1997
Special generalized inverse matrices connected with the theory of unified least squares. Zbl 0887.15023
Groß, Jürgen
1997
Some remarks on partial orderings of Hermitian matrices. Zbl 0870.15012
Groß, Jürgen
1997
On a class of estimators in the general Gauss-Markov model. Zbl 0875.62287
Groß, Jürgen
1996
On the least squares distance between affine subspaces. Zbl 0852.15003
Gross, Jürgen; Trenkler, Götz
1996
Invariance properties of a triple matrix product involving generalized inverses. Zbl 1105.15005
Groß, Jürgen; Tian, Yongge
2006
Remarks on the sharp partial order and the ordering of squares of matrices. Zbl 1103.15013
Groß, Jürgen
2006
On some linear combinations of hypergeneralized projectors. Zbl 1088.15026
Baksalary, Jerzy K.; Baksalary, Oskar Maria; Groß, Jürgen
2006
Extensions of the Frisch-Waugh-Lovell theorem. Zbl 1134.62302
Groß, Jürgen; Puntanen, Simo
2005
The general Gauss-Markov model with possibly singular dispersion matrix. Zbl 1048.62064
Groß, Jürgen
2004
Characterizations of admissible linear estimators in the linear model. Zbl 1051.62009
Groß, Jürgen; Markiewicz, Augustyn
2004
Restricted ridge estimation. Zbl 1116.62368
Groß, Jürgen
2003
Linear regression. Zbl 1039.62061
Groß, Jürgen
2003
Matrix representation of quaternions. Zbl 1037.11075
Farebrother, Richard William; Groß, Jürgen; Troschke, Sven-Oliver
2003
The equality of linear transforms of the ordinary least squares estimator and the best linear unbiased estimator. Zbl 1004.62056
Gross, Jürgen; Trenkler, Götz; Werner, Hans Joachim
2001
Quaternions: Further contributions to a matrix oriented approach. Zbl 0981.15014
Groß, Jürgen; Trenkler, Götz; Troschke, Sven-Oliver
2001
Löwner partial ordering and space preordering of Hermitian non-negative definite matrices. Zbl 0979.15019
Groß, Jürgen
2001
Nonnegative-definite and positive-definite solutions to the matrix equation $$\mathbb{A}\times\mathbb{A}^*=\mathbb{B}$$ – revisited. Zbl 0984.15011
Groß, Jürgen
2000
Estimation under a general partitioned linear model. Zbl 0966.62033
Groß, Jürgen; Puntanen, Simo
2000
The Moore-Penrose inverse of a partitioned nonnegative definite matrix. Zbl 0977.15003
Groß, Jürgen
2000
Nonsingularity of the difference of two oblique projectors. Zbl 0946.15020
Gross, Jürgen; Trenkler, Götz
1999
On the product of orthogonal projectors. Zbl 0945.15015
Groß, Jürgen
1999
Explicit solutions to the matrix inverse problem $$AX=B$$. Zbl 0941.15010
Groß, Jürgen
1999
On semi-orthogonality and a special class of matrices. Zbl 0949.15036
Groß, Jürgen; Trenkler, Götz; Troschke, Sven-Oliver
1999
A note on the rank-subtractivity ordering. Zbl 0941.15011
Groß, Jürgen
1999
On oblique projection, rank additivity and the Moore-Penrose inverse of the sum of two matrices. Zbl 0942.15002
Groß, Jürgen
1999
Partial orderings, preorderings, and the polar decomposition of matrices. Zbl 0932.15014
Groß, Jürgen; Hauke, Jan; Markiewicz, Augustyn
1999
On admissibility of linear estimators with respect to the mean square error matrix criterion under the general mixed linear model. Zbl 0947.62009
Groß, Jürgen; Markiewicz, Augustyn
1999
On properties of $$3\times 3$$ semi-magic squares. Zbl 1017.05028
Gross, J.; Troschke, S.-O.; Trenkler, G.
1999
The vector cross product in $$\mathbb{C}^3$$. Zbl 1018.15027
Gross, Jürgen; Trenkler, Götz; Troschke, Sven-Oliver
1999
Idempotency of the Hermitian part of a complex matrix. Zbl 0945.15014
Groß, Jürgen
1999
A note on the general Hermitian solution to $$AXA^*=B$$. Zbl 1006.15011
Groß, Jürgen
1998
On the product of oblique projectors. Zbl 0929.15016
Groß, Jürgen; Trenkler, Götz
1998
A note on the concepts of linear and quadratic sufficiency. Zbl 0937.62005
Groß, Jürgen
1998
On the equality of linear statistics in General Gauss-Markov model. Zbl 1008.62631
Groß, J.; Trenkler, G.
1998
Necessary and sufficient conditions for superiority of misspecified restricted least squares regression estimator. Zbl 0981.62047
Groß, Jürgen; Trenkler, Götz; Liski, Erkki P.
1998
On contractions in linear regression. Zbl 0945.62068
Gross, Jürgen
1998
Statistical estimation by a linear combination of two given statistics. Zbl 0920.62067
Groß, Jürgen
1998
More on concavity of a matrix function. Zbl 0912.15031
Gross, Jürgen
1998
Generalized and hypergeneralized projectors. Zbl 0887.15024
Groß, Jürgen; Trenkler, Götz
1997
A note on equality of MINQUE and simple estimator in the general Gauss-Markov model. Zbl 0888.62057
Groß, Jürgen
1997
Estimation from transformed data under the linear regression model. Zbl 0885.62080
Liski, Erkki P.; Trenkler, Götz; Groß, Jürgen
1997
When do linear transforms of ordinary least squares and Gauss-Markov estimator coincide? Zbl 0884.62070
Groß, Jürgen; Trenkler, Götz
1997
Some remarks on partial orderings of nonnegative definite matrices. Zbl 0934.15024
Groß, Jürgen; Troschke, Sven-Oliver
1997
On the equality of usual and Amemiya’s partially generalized least squares estimator. Zbl 0954.62547
Groß, Jürgen; Trenkler, Götz
1997
Some comments on matrix partial orderings. Zbl 0907.15016
Groß, Jürgen; Hauke, Jan; Markiewicz, Augustyn
1997
Some remarks concerning the reverse order law. Zbl 0913.15004
Groß, Jürgen
1997
On semi-star-related matrices. Zbl 0934.15025
Groß, Jürgen
1997
Special generalized inverse matrices connected with the theory of unified least squares. Zbl 0887.15023
Groß, Jürgen
1997
Some remarks on partial orderings of Hermitian matrices. Zbl 0870.15012
Groß, Jürgen
1997
Comment on range invariance on matrix products. Zbl 0871.15003
Groß, Jürgen
1996
On a class of estimators in the general Gauss-Markov model. Zbl 0875.62287
Groß, Jürgen
1996
On the least squares distance between affine subspaces. Zbl 0852.15003
Gross, Jürgen; Trenkler, Götz
1996
all top 5

#### Cited by 300 Authors

 40 Tian, Yongge 30 Baksalary, Oskar Maria 20 Trenkler, Götz 18 Puntanen, Simo 14 Baksalary, Jerzy K. 14 Yang, Hu 12 Liu, Xiaoji 12 Wang, Qingwen 10 Benítez Lopez, Julio 10 Cvetković-Ilić, Dragana S. 10 Gross, Jürgen 10 Liu, Xuqing 9 Deng, Chunyuan 9 Takane, Yoshio 8 Li, Yalian 8 Özkale, M. Revan 7 Kaçıranlar, Selahattin 7 Liu, Yonghui 7 Markiewicz, Augustyn 7 Rong, Jianying 7 Styan, George P. H. 6 Arashi, Mohammad 6 Isotalo, Jarkko 6 Koliha, Jerry J. 6 Rakočević, Vladimir 6 Roozbeh, Mahdi 6 Song, Guangjing 6 Thome, Néstor 6 Wei, Yimin 5 Özdemir, Halim 5 Xu, Jianwen 5 Zhang, Xian 4 Akdeniz, Fikri 4 Haslett, Stephen J. 4 He, ZhuoHeng 4 Kala, Radosław 4 Liu, Shuangzhe 4 Xiong, Zhiping 4 Xu, Qingxiang 4 Yanai, Haruo 4 Yu, Shaowen 4 Zuo, Kezheng 3 Alkhamisi, Mahdi A. 3 Du, Hongke 3 Guterman, Alexander Èmilevich 3 Matvejchuk, Marjan Stepanovich 3 Toker, Selma 3 Üstündağ Şiray, Gülesen 3 Wu, Jibo 3 Yu, Juan 2 Akdeniz Duran, Esra 2 Arendacká, Barbora 2 Bikchentaev, Aĭrat Midkhatovich 2 Chen, Ming 2 Dajić, Alegra 2 Dawoud, Issam 2 Djikić, Marko S. 2 Erdoğdu, Melek 2 Fang, Xiaochun 2 Fongi, Guillermina 2 Gao, Feng 2 Guo, Wenbin 2 Hauke, Jan 2 Huang, Yunying 2 Janovská, Drahoslava 2 Jiang, Bo 2 Kişi, Emre 2 Krishnaswamy, D. 2 Lebtahi, Leila 2 Legiša, Peter 2 Leiva, Víctor 2 Li, Ying 2 Liu, Xin 2 Lone, Mohd Saleem 2 Ma, Tiefeng 2 Marovt, Janko 2 Moslehian, Mohammad Sal 2 Niroumand, Hossein Ali 2 Opfer, Gerhard 2 Özbay, Nimet 2 Ozdemir, Mustafa Kemal 2 Pasha, G. R. 2 Pordzik, Paweł R. 2 Sakallioglu, Sadullah 2 Shen, Shuqian 2 Stępniak, Czesław 2 Sun, Yuqin 2 Tabakan, Gülin 2 Troschke, Sven-Oliver 2 Wang, Litong 2 Wu, Zhongcheng 2 Yu, Yaoming 2 Zheng, Bing 1 Ahmed, Syed Ejaz 1 Ahmed, W. E. 1 Alieva, Anna A. 1 Amanullah, Muhammad 1 Andruchow, Esteban 1 Antezana, Jorge 1 Aslam, Muhammad Saeed ...and 200 more Authors
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#### Cited in 81 Serials

 72 Linear Algebra and its Applications 33 Linear and Multilinear Algebra 28 Communications in Statistics. Theory and Methods 26 Statistical Papers 19 Applied Mathematics and Computation 11 Journal of Multivariate Analysis 10 Journal of Statistical Planning and Inference 8 Computers & Mathematics with Applications 7 Advances in Applied Clifford Algebras 5 Journal of Statistical Computation and Simulation 4 Journal of Mathematical Analysis and Applications 4 Metrika 4 Statistics & Probability Letters 4 Journal of Inequalities and Applications 4 Journal of Applied Mathematics and Computing 3 Communications in Statistics. Simulation and Computation 3 International Journal of Computer Mathematics 3 Numerical Linear Algebra with Applications 3 Journal of Applied Statistics 3 Lobachevskii Journal of Mathematics 3 Journal of Applied Mathematics 2 International Journal of Mathematical Education in Science and Technology 2 Indian Journal of Pure & Applied Mathematics 2 Mathematical Notes 2 Journal of Optimization Theory and Applications 2 Acta Mathematicae Applicatae Sinica. English Series 2 Statistics 2 ELA. The Electronic Journal of Linear Algebra 2 Abstract and Applied Analysis 2 Australian & New Zealand Journal of Statistics 2 Acta Mathematica Sinica. English Series 2 Central European Journal of Mathematics 2 Statistical Methods and Applications 2 Banach Journal of Mathematical Analysis 2 Special Matrices 2 Open Mathematics 1 Communications in Algebra 1 International Journal of Theoretical Physics 1 Journal of Mathematical Physics 1 Psychometrika 1 Beiträge zur Algebra und Geometrie 1 Annals of the Institute of Statistical Mathematics 1 Automatica 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Journal of Econometrics 1 Kybernetika 1 Metron 1 Proceedings of the American Mathematical Society 1 Probability and Mathematical Statistics 1 Applied Mathematics Letters 1 Computational Mathematics and Mathematical Physics 1 Aequationes Mathematicae 1 Computational Statistics and Data Analysis 1 Russian Mathematics 1 Computational Optimization and Applications 1 Algebra Colloquium 1 Journal of Mathematical Sciences (New York) 1 Annals of Mathematics and Artificial Intelligence 1 Mathematical Communications 1 Positivity 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Revista Matemática Complutense 1 Journal of the Australian Mathematical Society 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Mediterranean Journal of Mathematics 1 Statistical Methodology 1 Complex Analysis and Operator Theory 1 Frontiers of Mathematics in China 1 AStA. Advances in Statistical Analysis 1 International Electronic Journal of Geometry 1 Science China. Mathematics 1 Annals of Functional Analysis 1 Sankhyā. Series B 1 Random Matrices: Theory and Applications 1 ISRN Applied Mathematics 1 Journal of Applied Analysis and Computation 1 Journal of Mathematics 1 Journal of Applied Mathematics, Statistics and Informatics 1 Journal of Linear and Topological Algebra
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#### Cited in 28 Fields

 198 Linear and multilinear algebra; matrix theory (15-XX) 137 Statistics (62-XX) 42 Operator theory (47-XX) 22 Numerical analysis (65-XX) 17 Functional analysis (46-XX) 11 Associative rings and algebras (16-XX) 10 Order, lattices, ordered algebraic structures (06-XX) 6 Probability theory and stochastic processes (60-XX) 6 Operations research, mathematical programming (90-XX) 5 Number theory (11-XX) 4 Quantum theory (81-XX) 3 Mathematical logic and foundations (03-XX) 3 Systems theory; control (93-XX) 2 Nonassociative rings and algebras (17-XX) 2 Group theory and generalizations (20-XX) 2 Geometry (51-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)