G. J. Groenewald

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All published works

Action	Title	Year	Authors
+ PDF Chat	Optimal interpolation in Hardy and Bergman spaces: A reproducing kernel Banach space approach	2024	G. J. Groenewald S. ter Horst Hugo J. Woerdeman
+ PDF Chat	Optimal interpolation in Hardy and Bergman spaces: a reproducing kernel Banach space approach	2024	G. J. Groenewald S. ter Horst Hugo J. Woerdeman
+ PDF Chat	Indefinite determinantal representations versus nonsingularities on the noncommutative d-torus	2024	G. J. Groenewald S. ter Horst Hugo J. Woerdeman
+ PDF Chat	A Toeplitz-like operator with rational matrix symbol having poles on the unit circle:\ Matrix representation and spectral analysis	2024	G. J. Groenewald S. ter Horst J. Jaftha A. C. M. Ran
+	Rational solutions of the matrix equation $p(X) = A$	2024	G. J. Groenewald Gerrit Goosen Dawie Janse van Rensburg André C. M. Ran Madelein Thiersen
+	Small Rank Perturbations of H-Expansive Matrices	2024	G. J. Groenewald D.B. Janse van Rensburg André C. M. Ran
+	A Toeplitz-like operator with rational matrix symbol having poles on the unit circle: Invertibility and Riccati equations	2023	G. J. Groenewald S. ter Horst J. Jaftha André C. M. Ran
+	A Toeplitz-like operator with rational matrix symbol having poles on the unit circle: Fredholm characteristics	2023	G. J. Groenewald S. ter Horst J. Jaftha André C. M. Ran
+	Solutions of the matrix equation p(X)=A, with polynomial function p(λ) over field extensions of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi mathvariant="double-struck">Q</mml:mi></mml:math>	2023	G. J. Groenewald D.B. Janse van Rensburg André C. M. Ran Frieda Theron M. van Straaten
+	Galois groups and rational solutions of $p(X) = A$	2023	G. J. Groenewald Gerrit Goosen D.B. Janse van Rensburg André C. M. Ran M. van Straaten
+	A Toeplitz-like operator with rational matrix symbol having poles on the unit circle: Fredholm characteristics	2023	G. J. Groenewald S. ter Horst J. Jaftha A. C. M. Ran
+	A Toeplitz-like operator with rational matrix symbol having poles on the unit circle: Invertibility and Riccati equations	2023	G. J. Groenewald S. ter Horst J. Jaftha André C. M. Ran
+	Wiener–Hopf factorization indices of rational matrix functions with respect to the unit circle in terms of realization	2022	G. J. Groenewald M. A. Kaashoek André C. M. Ran
+	Wiener-Hopf factorization indices of rational matrix functions with respect to the unit circle in terms of realization	2022	G. J. Groenewald M. A. Kaashoek A. C. M. Ran
+	Solutions of the matrix equation $p(X)=A$, with polynomial function $p(λ)$ over field extensions of $\mathbb{Q}$	2022	G. J. Groenewald Dawie Janse van Rensburg André C. M. Ran M. van Straaten Frieda Theron
+ PDF Chat	Polar decompositions of quaternion matrices in indefinite inner product spaces	2021	G. J. Groenewald D.B. Janse van Rensburg André C. M. Ran Frieda Theron M. van Straaten
+ PDF Chat	Polar decompositions of quaternion matrices in indefinite inner product spaces	2021	G. J. Groenewald D.B. Janse van Rensburg A. C. M. Ran F. Theron M. van Straaten
+	Polar decompositions of quaternion matrices in indefinite inner product spaces	2021	G. J. Groenewald D.B. Janse van Rensburg André C. M. Ran Frieda Theron M. van Straaten
+ PDF Chat	A Toeplitz-Like Operator with Rational Matrix Symbol Having Poles on the Unit Circle: Fredholm Properties	2020	G. J. Groenewald S. ter Horst J. Jaftha André C. M. Ran
+	mth roots of H-selfadjoint matrices	2020	G. J. Groenewald D.B. Janse van Rensburg André C. M. Ran Frieda Theron M. van Straaten
+	An alternative canonical form for quaternionic H-unitary matrices	2020	G. J. Groenewald D.B. Janse van Rensburg André C. M. Ran
+	$m$th roots of $H$-selfadjoint matrices	2020	G. J. Groenewald D.B. Janse van Rensburg André C. M. Ran Frieda Theron M. van Straaten
+	A Toeplitz-like operator with rational matrix symbol having poles on the unit circle: Fredholm properties	2020	G. J. Groenewald S. ter Horst J. Jaftha A. C. M. Ran
+ PDF Chat	A Toeplitz-Like Operator with Rational Symbol Having Poles on the Unit Circle III: The Adjoint	2019	G. J. Groenewald S. ter Horst J. Jaftha André C. M. Ran
+	A toeplitz-like operator with rational symbol having poles on the unit circle II : The spectrum	2019	G. J. Groenewald S. ter Horst J. Jaftha André C. M. Ran
+ PDF Chat	A Toeplitz-like Operator with Rational Symbol Having Poles on the Unit Circle II: The Spectrum	2019	G. J. Groenewald S. ter Horst J. Jaftha André C. M. Ran
+ PDF Chat	Standard versus strict bounded real lemma with infinite-dimensional state space. I. The state-space-similarity approach	2018	Joseph A. Ball G. J. Groenewald S. ter Horst
+ PDF Chat	Standard versus strict Bounded Real Lemma with infinite-dimensional state space III: The dichotomous and bicausal cases	2018	Joseph A. Ball G. J. Groenewald S. ter Horst
+ PDF Chat	A Toeplitz-like operator with rational symbol having poles on the unit circle I: Fredholm properties	2018	G. J. Groenewald S. ter Horst J. Jaftha André C. M. Ran
+	Standard versus Strict Bounded Real Lemma with infinite-dimensional state space I: The State-Space-Similarity Approach	2018	Joseph A. Ball G. J. Groenewald S. ter Horst
+	Standard versus Bounded Real Lemma with infinite-dimensional state space II: The storage function approach	2018	Joseph A. Ball G. J. Groenewald S. ter Horst
+	Standard versus strict Bounded Real Lemma with infinite-dimensional state space II: The storage function approach	2018	Joseph A. Ball G. J. Groenewald S. ter Horst
+ PDF Chat	Canonical form for H-symplectic matrices	2018	G. J. Groenewald D.B. Janse van Rensburg André C. M. Ran
+	A toeplitz-like operator with rational symbol having poles on the unit circle i : Fredholm properties	2018	G. J. Groenewald S. ter Horst J. Jaftha André C. M. Ran
+	Standard versus strict Bounded Real Lemma with infinite-dimensional state space III: The dichotomous and bicausal cases	2018	J. A. Ball G. J. Groenewald S. ter Horst
+	Wiener–Hopf indices of unitary functions on the unit circle in terms of realizations and related results on Toeplitz operators	2017	G. J. Groenewald M. A. Kaashoek André C. M. Ran
+ PDF Chat	The Bézout Equation on the Right Half-plane in a Wiener Space Setting	2017	G. J. Groenewald S. ter Horst M. A. Kaashoek
+ PDF Chat	A canonical form for H-unitary matrices	2016	G. J. Groenewald D.B. Janse van Rensburg André C. M. Ran
+ PDF Chat	The Bezout-Corona Problem Revisited: Wiener Space Setting	2015	G. J. Groenewald S. ter Horst M. A. Kaashoek
+	Simple forms and invariant subspaces of H-expansive matrices	2014	Jan Fourie G. J. Groenewald D.B. Janse van Rensburg André C. M. Ran
+ PDF Chat	Bounded real lemma and structured singular value versus diagonal scaling: the free noncommutative setting	2014	Joseph A. Ball G. J. Groenewald S. ter Horst
+	Bounded Real Lemma and structured singular value versus diagonal scaling: the free noncommutative setting	2014	Joseph A. Ball G. J. Groenewald S. ter Horst
+	Structured singular values versus diagonal scaling: the noncommutative setting (I)	2014	Joseph A. Ball G. J. Groenewald S. ter Horst
+	Bounded Real Lemma and structured singular value versus diagonal scaling: the free noncommutative setting	2014	Joseph A. Ball G. J. Groenewald S. ter Horst
+	Rank one perturbations of H -positive real matrices	2013	Jan Fourie G. J. Groenewald D.B. Janse van Rensburg André C. M. Ran
+ PDF Chat	Equivalence of robust stabilization and robust performance via feedback	2009	Joseph A. Ball Quanlei Fang G. J. Groenewald S. ter Horst
+	Equivalence of robust stabilization and robust performance via feedback	2008	Joseph A. Ball Quanlei Fang G. J. Groenewald S. ter Horst
+	Positive real matrices in indefinite inner product spaces and invariant maximal semidefinite subspaces	2007	Jan Fourie G. J. Groenewald André C. M. Ran
+	Conservative Structured Noncommutative Multidimensional Linear Systems	2006	Joseph A. Ball G. J. Groenewald Tanit Malakorn
+	Characterization of integral operators with semi-separable kernels with symmetries	2005	G. J. Groenewald Mitchell A. Petersen André C. M. Ran
+	A Gohberg-Heinig Type Inversion Formula Involving Hankel Operators	2005	G. J. Groenewald M. A. Kaashoek
+ PDF Chat	J-spectral factorization for rational matrix functions with alternative realization	2003	G. J. Groenewald Mark A. Petersen
+ PDF Chat	Symmetric spectral factorisation of self-adjoint rational matrix functions	1997	G. J. Groenewald Mitchell A. Petersen
+	INVERSION OF TOEPLITZ OPERATORS WITH RATIONAL SYMBOLS VIA FACTORIZATION AND REALIZATION	1996	G. J. Groenewald
+	Column reduced rational matrix functions with given null-pole data in the complex plane	1994	Joseph A. Ball M. A. Kaashoek G. J. Groenewald J. Kim

Common Coauthors

Coauthor	Papers Together
S. ter Horst	28
André C. M. Ran	27
Joseph A. Ball	13
D.B. Janse van Rensburg	13
J. Jaftha	11
M. van Straaten	8
M. A. Kaashoek	6
Frieda Theron	6
Hugo J. Woerdeman	3
Jan Fourie	3
A. C. M. Ran	3
Mitchell A. Petersen	2
Quanlei Fang	2
Gerrit Goosen	2
Dawie Janse van Rensburg	1
Madelein Thiersen	1
S. ter Horst	1
Tanit Malakorn	1
F. Theron	1
Dawie Janse van Rensburg	1
A. C. M. Ran	1
J. Kim	1
J. A. Ball	1
M. A. Kaashoek	1
J. Jaftha	1
A. C. M. Ran	1
Mark A. Petersen	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Factorization of Matrix Functions and Singular Integral Operators	1981	Kevin F. Clancey Israel Gohberg	7
+ PDF Chat	A Toeplitz-like operator with rational symbol having poles on the unit circle I: Fredholm properties	2018	G. J. Groenewald S. ter Horst J. Jaftha André C. M. Ran	5
+	Unbounded Toeplitz Operators	2008	Donald Sarason	5
+ PDF Chat	A Toeplitz-like Operator with Rational Symbol Having Poles on the Unit Circle II: The Spectrum	2019	G. J. Groenewald S. ter Horst J. Jaftha André C. M. Ran	5
+	Classes of Linear Operators	1990	Israel Gohberg Seymour Goldberg M.A. Kaashoek	5
+	Linear operators in spaces with an indefinite metric	1991	T. I︠a︡. Azizov И. С. Иохвидов Ellis Dawson	4
+	De Branges-Rovnyak Operator Models and Systems Theory: A Survey	1991	Joseph A. Ball Nir Cohen	4
+	Simple forms and invariant subspaces of H-expansive matrices	2014	Jan Fourie G. J. Groenewald D.B. Janse van Rensburg André C. M. Ran	4
+ PDF Chat	On majorization, factorization, and range inclusion of operators on Hilbert space	1966	R. G. Douglas	4
+	Interpolation of Rational Matrix Functions	1990	Joseph A. Ball Israel Gohberg Leiba Rodman	4
+	Structure of the nth roots of a matrix	1993	Gabriëlle ten Have	4
+ PDF Chat	The Non–symmetric Discrete Algebraic Riccati Equation and Canonical Factorization of Rational Matrix Functions on the Unit Circle	2010	A. E. Frazho M. A. Kaashoek André C. M. Ran	4
+ PDF Chat	On the m-th roots of a complex matrix	2002	Panayiotis Psarrakos	4
+	mth roots of H-selfadjoint matrices	2020	G. J. Groenewald D.B. Janse van Rensburg André C. M. Ran Frieda Theron M. van Straaten	4
+	On the Spectra of Toeplitz's Matrices	1950	Philip Hartman Aurel Wintner	4
+	Canonical matrices of isometric operators on indefinite inner product spaces	2007	Vladimir V. Sergeichuk	3
+ PDF Chat	A von Neumann type inequality for certain domains in $\mathbf C^n$	2002	Călin-Grigore Ambrozie Dan Timotin	3
+	Convolution equations and projection methods for their solution	2005	Israel Gohberg Israel Feldman	3
+ PDF Chat	Robust Control, Multidimensional Systems and Multivariable Nevanlinna-Pick Interpolation	2010	Joseph A. Ball S. ter Horst S. ter Horst	3
+	Minimal and optimal linear discrete time-invariant dissipative scattering systems	1997	Damir Z. Arov M. A. Kaashoek	3
+	Introduction to the Spectral Theory of Operators in Spaces with an Indefinite Metric	1982	I. S. Iohvidov M. Г. Крейн Heinz Langer	3
+	Polar decompositions in finite dimensional indefinite scalar product spaces: General theory	1997	Yuri Bolshakov C. V. M. van der Mee André C. M. Ran Boris Reichstein Leiba Rodman	3
+	Essential decomposition of normal matrices in real indefinite inner product spaces	2007	Christian Mehl	3
+	Structured Jordan canonical forms for structured matrices that are hermitian, skew hermitian or unitary with respect to indefinite inner products	1999	Volker Mehrmann Hongguo Xu	3
+ PDF Chat	A Toeplitz-Like Operator with Rational Symbol Having Poles on the Unit Circle III: The Adjoint	2019	G. J. Groenewald S. ter Horst J. Jaftha André C. M. Ran	3
+ PDF Chat	A Course in Functional Analysis.	1986	T. W. Gamelin John B. Conway	3
+ PDF Chat	On classification of normal matrices in indefinite inner product spaces	2006	Christian Mehl	3
+	A positivstellensatz for non-commutative polynomials	2004	J. William Helton Scott McCullough	3
+	"Positive" Noncommutative Polynomials Are Sums of Squares	2002	J. William Helton	3
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato	3
+ PDF Chat	A canonical form for H-unitary matrices	2016	G. J. Groenewald D.B. Janse van Rensburg André C. M. Ran	3
+	Realization and interpolation for Schur–Agler-class functions on domains with matrix polynomial defining function in Cn	2004	Joseph A. Ball Vladimir Bolotnikov	3
+	Stability of self-adjoint square roots and polar decompositions in indefinite scalar product spaces	1999	C. V. M. van der Mee André C. M. Ran Leiba Rodman	3
+	Regular Rational Matrix Functions with Prescribed Pole and Zero Structure	1988	Israel Gohberg M. A. Kaashoek	3
+ PDF Chat	CLASSIFICATION PROBLEMS FOR SYSTEMS OF FORMS AND LINEAR MAPPINGS	1988	Vladimir V. Sergeichuk	3
+	Treatise on the Shift Operator	1986	Н. К. Никольский	3
+	Discrete time systems, operator models, and scattering theory	1974	J. William Helton	3
+	Rank one perturbations of H -positive real matrices	2013	Jan Fourie G. J. Groenewald D.B. Janse van Rensburg André C. M. Ran	3
+	Similarity vs unitary similarity and perturbation analysis of sign characteristics: Complex and real indefinite inner products	2006	Leiba Rodman	3
+	Basic classes of matrices with respect to quaternionic indefinite inner product spaces	2006	Daniel Alpay André C. M. Ran Leiba Rodman	3
+	Constructive Methods of Wiener-Hopf Factorization	1986	Israel Gohberg M. A. Kaashoek	3
+ PDF Chat	Factorization indices for matrix polynomials	1978	Israel Gohberg L. Lerer Leiba Rodman	2
+	On invariant subspaces of dissipative operators in a space with indefinite metric	2004	А. А. Шкаликов	2
+	Zero data and interpolation problems for rectangular matrix polynomials	1991	Joseph A. Ball Nir Cohen Leiba Rodman	2
+	Unitary Colligations, Reproducing Kernel Hilbert Spaces, and Nevanlinna–Pick Interpolation in Several Variables	1998	Joseph A. Ball Tavan T. Trent	2
+	On pseudo-canonical factorization of rational matrix functions	1993	Israel Gohberg André C. M. Ran	2
+ PDF Chat	The Canonical Generalized Polar Decomposition	2010	Nicholas J. Higham Christian Mehl Françoise Tisseur	2
+	Polar Decompositions in Finite Dimensional Indefinite Scalar Product Spaces: Special Cases and Applications	1996	Yuri Bolshakov C. V. M. van der Mee André C. M. Ran Boris Reichstein Leiba Rodman	2
+	The matrix-valued <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msup></mml:math> corona problem in the disk and polydisk	2005	Sergei Treil Brett D. Wick	2
+	Discrete-Time Dichotomous Well-Posed Linear Systems and Generalized Schur–Nevanlinna–Pick Interpolation	2006	Joseph A. Ball Michael Raney	2