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Gilbert Groenewald
Gilbert Groenewald
Professor of Mathematics, North-West University
Verified email at nwu.ac.za
Title
Cited by
Cited by
Year
Structured noncommutative multidimensional linear systems
JA Ball, G Groenewald, T Malakorn
SIAM journal on control and optimization 44 (4), 1474-1528, 2005
1272005
Conservative structured noncommutative multidimensional linear systems
JA Ball, G Groenewald, T Malakorn
The state space method generalizations and applications, 179-223, 2005
872005
Bounded real lemma for structured noncommutative multidimensional linear systems and robust control
JA Ball, G Groenewald, T Malakorn
Multidimensional Systems and Signal Processing 17 (2-3), 119-150, 2006
562006
Rank one perturbations of H-positive real matrices
JH Fourie, GJ Groenewald, DBJ van Rensburg, ACM Ran
Linear Algebra and its Applications 439 (3), 653-674, 2013
172013
Bounded real lemma and structured singular value versus diagonal scaling: the free noncommutative setting
JA Ball, G Groenewald, S Ter Horst
Multidimensional Systems And Signal Processing 27 (1), 217-254, 2016
142016
Column reduced rational matrix functions with given null-pole data in the complex plane
JA Ball, MA Kaashoek, G Groenewald, J Kim
Linear algebra and its applications 203, 67-110, 1994
131994
Standard versus strict Bounded Real Lemma with infinite-dimensional state space II: The storage function approach
JA Ball, GJ Groenewald, S Ter Horst
The Diversity and Beauty of Applied Operator Theory, 1-50, 2018
102018
A Toeplitz-like operator with rational symbol having poles on the unit circle I: Fredholm properties
GJ Groenewald, S Ter Horst, J Jaftha, ACM Ran
Operator Theory, Analysis and the State Space Approach, 239-268, 2018
102018
A Toeplitz-like operator with rational symbol having poles on the unit circle II: the spectrum
GJ Groenewald, S ter Horst, J Jaftha, ACM Ran
Interpolation and Realization Theory with Applications to Control Theory …, 2019
92019
Standard versus strict bounded real lemma with infinite-dimensional state space I: The state-space-similarity approach
JA Ball, GJ Groenewald, S Ter Horst
arXiv preprint arXiv:1804.08507, 2018
82018
Wiener–Hopf indices of unitary functions on the unit circle in terms of realizations and related results on Toeplitz operators
GJ Groenewald, MA Kaashoek, ACM Ran
Indagationes Mathematicae 28 (3), 694-710, 2017
72017
Wiener-Hopf indices of unitary functions on the unit circle in terms of realizations and related results on Toeplitz operators.
A Ran, MA Kaashoek, G Groenewald
Indagationes Mathematicae 28 (3), 649-710, 2017
72017
A Toeplitz-like operator with rational symbol having poles on the unit circle III: the adjoint
GJ Groenewald, S Ter Horst, J Jaftha, ACM Ran
arXiv preprint arXiv:1812.07239, 2018
62018
Topologies for which every nonzero vector is hypercyclic
H Petersson, K Li, HC Liao, Z Hao, M Popa, A Kuzmin, N Pochekai, ...
Journal of Operator Theory 80 (1), 3-24, 2018
62018
Positive real matrices in indefinite inner product spaces and invariant maximal semidefinite subspaces
JH Fourie, GJ Groenewald, ACM Ran
Linear algebra and its applications 424 (2-3), 346-370, 2007
62007
Characterization of integral operators with semi-separable kernels with symmetries
GJ Groenewald, MA Petersen, ACM Ran
Journal of Functional Analysis 219 (2), 255-284, 2005
62005
A canonical form for H-unitary matrices
GJ Groenewald, DB Janse van Rensburg, ACM Ran
Ele-Math, 2016
52016
Simple forms and invariant subspaces of H-expansive matrices
JH Fourie, GJ Groenewald, DBJ van Rensburg, ACM Ran
Linear Algebra and its Applications 470, 300-340, 2015
52015
A Gohberg-Heinig type inversion formula involving Hankel operators
GJ Groenewald, MA Kaashoek
Interpolation, Schur functions and moment problems, 291-302, 2005
52005
Inversion of Toeplitz operators with rational symbols via factorization and realization
GJ Groenewald
Quaestiones Mathematicae 19 (1-2), 357-378, 1996
51996
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Articles 1–20