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Helmke, Uwe R.

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Author ID: helmke.uwe-r Recent zbMATH articles by "Helmke, Uwe R."
Published as: Helmke, Uwe; Helmke, U.; Helmke, Uwe R.
External Links: MGP · Wikidata · GND
Documents Indexed: 142 Publications since 1984, including 10 Books
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH Open

108 Publications have been cited 742 times in 539 Documents Cited by Year
Optimization and dynamical systems. Foreword by R. W. Brockett. Zbl 0943.93001
Helmke, U.; Moore, J. B.
83
1994
Optimization and dynamical systems. Zbl 0984.49001
Helmke, Uwe; Moore, John B.
55
1994
A Newton-like method for solving rank constrained linear matrix inequalities. Zbl 1222.90032
Orsi, Robert; Helmke, Uwe; Moore, John B.
33
2006
Positive observers for linear positive systems, and their implications. Zbl 1245.93026
Rami, Mustapha Ait; Tadeo, Fernando; Helmke, Uwe
29
2011
Bézoutians. Zbl 0679.93009
Helmke, U.; Fuhrmann, P. A.
28
1989
The mathematics of networks of linear systems. Zbl 1352.93003
Fuhrmann, Paul A.; Helmke, Uwe
23
2015
On the parametrization of conditioned invariant subspaces and observer theory. Zbl 1031.93062
Fuhrmann, P. A.; Helmke, U.
19
2001
Critical points of matrix least squares distance functions. Zbl 0816.15026
Helmke, Uwe; Shayman, Mark A.
16
1995
Uniform ensemble controllability for one-parameter families of time-invariant linear systems. Zbl 1296.93025
Helmke, Uwe; Schönlein, Michael
14
2014
The significance of the \(C\)-numerical range and the local \(C\)-numerical range in quantum control and quantum information. Zbl 1134.81018
Schulte-Herbrüggen, Thomas; Dirr, Gunther; Helmke, Uwe; Glaser, Steffen J.
14
2008
The topology of a moduli space for linear dynamical systems. Zbl 0613.93008
Helmke, Uwe
13
1985
Topology of the moduli space for reachable linear dynamical systems: The complex case. Zbl 0624.93016
Helmke, Uwe
13
1986
Eigenvalue inequalities and Schubert calculus. Zbl 0815.15012
Helmke, Uwe; Rosenthal, Joachim
12
1995
Gradient flows computing the C-numerical range with applications in NMR spectroscopy. Zbl 1016.65026
Helmke, U.; Hüper, K.; Moore, J. B.; Schulte-Herbrüggen, Th.
11
2002
Counting critical formations on a line. Zbl 1327.93006
Anderson, Brian D. O.; Helmke, Uwe
11
2014
Lie theory for quantum control. Zbl 1197.81199
Dirr, G.; Helmke, U.
10
2008
Gradient flows for optimization in quantum information and quantum dynamics: foundations and applications. Zbl 1208.49001
Schulte-Herbrüggen, Thomas; Glaser, Steffen J.; Dirr, Gunther; Helmke, Uwe
10
2010
Topological aspects of the partial realization problem. Zbl 0748.93040
Manthey, W.; Helmke, Uwe; Hinrichsen, Diederich
10
1992
Numerical gradient algorithms for eigenvalue and singular value calculations. Zbl 0808.65031
Moore, John B.; Mahony, R. E.; Helmke, Uwe
10
1994
Balanced realizations via gradient flow techniques. Zbl 0699.93010
Perkins, J. E.; Helmke, U.; Moore, J. B.
9
1990
Topology of the orbit space of generalized linear systems. Zbl 0741.93025
Helmke, Uwe; Shayman, Mark A.
9
1991
A homeomorphism between observable pairs and conditioned invariant subspaces. Zbl 0901.93008
Fuhrmann, P. A.; Helmke, U.
9
1997
Canonical forms and orbit spaces of linear systems. Zbl 0663.93010
Helmke, Uwe; Hinrichsen, Diederich
9
1986
Relative \(C\)-numerical ranges for applications in quantum control and quantum information. Zbl 1134.81012
Dirr, G.; Helmke, U.; Kleinsteuber, M.; Schulte-Herbrüggen, Th.
9
2008
Minimal partial realization by descriptor systems. Zbl 0986.93017
Hinrichsen, D.; Manthey, W.; Helmke, U.
9
2001
Waring’s problem for binary forms. Zbl 0791.11020
Helmke, Uwe
8
1992
A compactification of the space of rational transfer functions by singular systems. Zbl 0785.93025
Helmke, Uwe
8
1993
A canonical form for controllable singular systems. Zbl 0667.93016
Helmke, U.; Shayman, M. A.
8
1989
Adaptive tracking for scalar minimum phase systems. Zbl 0726.93043
Helmke, Uwe; Prätzel-Wolters, Dieter; Schmid, S.
8
1990
Decentralized gradient algorithm for solution of a linear equation. Zbl 1346.93159
Anderson, Brian; Mou, Shaoshuai; Morse, A.; Helmke, Uwe
8
2016
A finite steps algorithm for solving convex feasibility problems. Zbl 1180.90239
Rami, M. Ait; Helmke, U.; Moore, J. B.
7
2007
The cohomology of moduli spaces of linear dynamical systems. Zbl 0786.93014
Helmke, Uwe
7
1993
Network flows that solve linear equations. Zbl 1369.90023
Shi, Guodong; Anderson, Brian D. O.; Helmke, Uwe
7
2017
Lie-semigroup structures for reachability and control of open quantum systems: Kossakowski-Lindblad generators form Lie wedge to Markovian channels. Zbl 1204.81086
Dirr, G.; Helmke, U.; Kurniawan, I.; Schulte-Herbrüggen, T.
6
2009
Jacobi’s algorithm on compact Lie algebras. Zbl 1077.65037
Kleinsteuber, M.; Helmke, U.; Huper, K.
6
2004
Structure and parametrization of periodic linear systems. Zbl 1248.93034
Helmke, U.; Verriest, E. I.
6
2011
Linear dynamical systems and instantons in Yang-Mills theory. Zbl 0633.93018
Helmke, U.
6
1986
Singular-value decomposition via gradient and self-equivalent flows. Zbl 0763.65022
Helmke, Uwe; Moore, John B.
6
1992
The topology of the set of conditioned invariant subspaces. Zbl 0977.93023
Puerta, X.; Helmke, U.
6
2000
A dual purpose principal and minor component flow. Zbl 1129.34319
Manton, Jonathan H.; Helmke, Uwe; Mareels, Iven M. Y.
5
2005
Probability estimates for reachability of linear systems defined over finite fields. Zbl 1332.93053
Helmke, Uwe; Jordan, Jens; Lieb, Julia
5
2016
A global parametrization of asymptotically stable linear systems. Zbl 0697.93015
Helmke, Uwe
5
1989
Spin dynamics: A paradigm for time optimal control on compact Lie groups. Zbl 1138.81058
Dirr, G.; Helmke, U.; Hüper, K.; Kleinsteuber, M.; Liu, Y.
5
2006
Recursive algorithms for solving a class of nonlinear matrix equations with applications to certain sensitivity optimization problems. Zbl 0808.93026
Yan, Wei-Yong; Moore, John B.; Helmke, Uwe
5
1994
Output feedback invariants. Zbl 1008.93023
Ravi, M. S.; Rosenthal, Joachim; Helmke, Uwe
5
2002
Isospectral flows on symmetric matrices and the Riccati equation. Zbl 0732.93045
Helmke, Uwe
5
1991
Reachability, observability and strict equivalence of networks of linear systems. Zbl 1283.93047
Fuhrmann, Paul A.; Helmke, Uwe
5
2013
Global convergence of nonlinear cascade flows with Morse-Bott zero dynamics. Zbl 1161.93019
Helmke, U.
4
2009
Balanced realizations for linear systems: A variational approach. Zbl 0770.93044
Helmke, Uwe
4
1993
Hermitian pencils and output feedback stabilization of scalar systems. Zbl 0760.93066
Helmke, Uwe; Anderson, B. D. O.
4
1992
On Fischer-Frobenius transformations and the structure of rectangular block Hankel matrices. Zbl 0873.15013
Manthey, W.; Hinrichsen, D.; Helmke, U.
4
1996
Gradient algorithms for principal component analysis. Zbl 0855.65033
Mahony, R. E.; Helmke, U.; Moore, J. B.
4
1996
System assignment and pole placement for symmetric realisations. Zbl 0852.93035
Mahony, Robert; Helmke, Uwe
4
1995
The biflag manifold and the fixed points of a unipotent transformation on the flag manifold. Zbl 0646.57012
Helmke, Uwe; Shayman, Mark A.
4
1987
Stability and robustness properties of universal adaptive controllers for first-order linear systems. Zbl 0671.93031
Helmke, Uwe; Prätzel-Wolters, Dieter
4
1988
Output feedback invariants and canonical forms for linear dynamical systems. Zbl 0675.93022
Fuhrmann, P. A.; Helmke, U.
4
1988
Newton’s algorithm in Euclidean Jordan algebras, with applications to robotics. Zbl 1087.68673
Helmke, Uwe; Ricardo, Sandra; Yoshizawa, Shintaro
4
2002
Simultaneous versal deformations of endomorphisms and invariant subspaces. Zbl 1093.15002
Compta, Albert; Helmke, Uwe; Peña, Marta; Puerta, Xavier
4
2006
Nonsmooth Riemannian optimization with applications to sphere packing and grasping. Zbl 1151.53029
Dirr, Gunther; Helmke, Uwe; Langeman, Christian
4
2007
Bruhat canonical form for linear systems. Zbl 1123.93028
Manthey, Wilfried; Helmke, Uwe
3
2007
Output feedback pole assignment for transfer functions with symmetries. Zbl 1127.93036
Helmke, Uwe; Rosenthal, Joachim; Wang, Xiaochang Alex
3
2006
Connectivity properties of spaces of partial realizations. Zbl 1032.93006
Manthey, W.; Helmke, U.
3
2001
The cohomology of moduli spaces of linear dynamical systems. Zbl 0748.93018
Helmke, Uwe
3
1990
A controllability test for general first-order representations. Zbl 0874.93018
Helmke, U.; Rosenthal, J.; Schumacher, J. M.
3
1997
Generalized partial realizations. Zbl 0890.93017
Manthey, W.; Helmke, U.; Hinrichsen, D.
3
1997
\(L^ 2\) sensitivity minimization of linear system representations via gradient flows. Zbl 0857.93028
Helmke, U.; Moore, J. B.
3
1995
Controllability of matrix eigenvalue algorithms: the inverse power method. Zbl 0985.93003
Helmke, U.; Fuhrmann, P. A.
3
2000
A partial compactification for linear systems. Zbl 0623.93015
Helmke, Uwe; Manthey, Wilfried
3
1986
Control and stabilization of linear equation solvers. Zbl 1198.93093
Helmke, Uwe; Jordan, Jens
3
2010
Controllability aspects of quantum dynamics: a unified approach for closed and open systems. Zbl 1369.81044
Kurniawan, Indra; Dirr, Gunther; Helmke, Uwe
3
2012
Reachability of random linear systems over finite fields. Zbl 1327.93066
Helmke, Uwe; Jordan, Jens; Lieb, Julia
2
2015
Unimodular equivalence of polynomial matrices. Zbl 1387.93058
Fuhrmann, P. A.; Helmke, U.
2
2010
On the elementary divisors of the Sylvester and Lyapunov maps. Zbl 1188.15021
Fuhrmann, P. A.; Helmke, U.
2
2010
Tensored polynomial models. Zbl 1181.15032
Fuhrmann, P. A.; Helmke, U.
2
2010
On controllability of the real shifted inverse power iteration. Zbl 1032.93003
Helmke, U.; Wirth, F.
2
2001
Accessibility of a class of generalized double-bracket flows. Zbl 1234.37054
Dirr, G.; Helmke, U.
2
2008
Jacobi-type methods in computer vision: A case study. Zbl 0913.68215
Hüper, K.; Helmke, U.
2
1998
The Jacobi method: A tool for computation and control. Zbl 0880.93013
Helmke, U.; Hüper, K.
2
1997
Tangent spaces of rational matrix functions. Zbl 0895.15007
Helmke, U.; Fuhrmann, P. A.
2
1998
Dynamical systems that compute balanced realizations and the singular value decomposition. Zbl 0806.93021
Helmke, Uwe; Moore, John B.; Perkins, J. E.
2
1994
A cell decomposition of the space of real Hankel matrices of rank \(\leq n\) and some applications. Zbl 0693.15010
Helmke, Uwe; Hinrichsen, Diederich; Manthey, W.
2
1989
A note on the geometry of partial realization. Zbl 0726.93016
Manthey, W.; Helmke, Uwe; Hinrichsen, Diederich
2
1990
Lie algebra representations, nilpotent matrices, and the \(C\)-numerical range. Zbl 1089.15027
Dirr, G.; Helmke, U.; Kleinsteuber, M.
2
2006
Convergence analysis for principal component flows. Zbl 1169.93344
Yoshizawa, Shintaro; Helmke, Uwe; Starkov, Konstantin
2
2002
Entropy of controlled invariant subspaces. Zbl 1285.93042
Colonius, Fritz; Helmke, Uwe
2
2014
Optimal control of iterative solution methods for linear systems of equations. Zbl 1391.49029
Helmke, Uwe; Jordan, Jens
2
2005
On theorems of Halmos and Roth. Zbl 1275.15008
Fuhrmann, P. A.; Helmke, U.
2
2012
Riemannian optimization on tensor products of Grassmann manifolds: applications to generalized Rayleigh-quotients. Zbl 1250.65082
Curtef, O.; Dirr, G.; Helmke, U.
2
2012
On the zeros of blocked time-invariant systems. Zbl 1277.93038
Zamani, Mohsen; Anderson, Brian D. O.; Helmke, Uwe; Chen, Weitian
1
2013
Towards a compactification of the set of conditioned invariant subspaces. Zbl 1134.93319
Trumpf, J.; Helmke, U.; Fuhrmann, P. A.
1
2003
Zeros of networked systems with time-invariant interconnections. Zbl 1327.93037
Zamani, Mohsen; Helmke, Uwe; Anderson, Brian D. O.
1
2015
A differential equation for diagonalizing complex semisimple Lie algebra elements. Zbl 1186.93022
Helmke, Uwe; Kleinsteuber, Martin
1
2010
Algebraic decoding for doubly cyclic convolutional codes. Zbl 1190.94036
Gluesing-Luerssen, Heide; Helmke, Uwe; Iglesias Curto, José Ignacio
1
2010
Equivalence conditions for behaviors and the Kronecker canonical form. Zbl 1248.93033
Fuhrmann, P. A.; Helmke, U.
1
2011
Conditioned invariant subspaces and the geometry of nilpotent matrices. Zbl 1203.93049
Helmke, Uwe; Trumpf, Jochen
1
2005
The cohomology of the moduli space of controllable linear systems. Zbl 0768.93009
Helmke, Uwe; Byrnes, Christopher I.
1
1992
Isospectral matrix flows for numerical analysis. Zbl 0826.65025
Helmke, U.
1
1995
A Jacobi-type method for computing balanced realizations. Zbl 0985.93016
Helmke, U.; Hüper, K.
1
2000
Computation of signature symmetric balanced realizations. Zbl 1045.93015
Helmke, U.; Hüper, K.; Moore, J. B.
1
2003
Diagonalization of time varying symmetric matrices. Zbl 1056.65039
Baumann, Markus; Helmke, Uwe
1
2002
Network flows that solve linear equations. Zbl 1369.90023
Shi, Guodong; Anderson, Brian D. O.; Helmke, Uwe
7
2017
Decentralized gradient algorithm for solution of a linear equation. Zbl 1346.93159
Anderson, Brian; Mou, Shaoshuai; Morse, A.; Helmke, Uwe
8
2016
Probability estimates for reachability of linear systems defined over finite fields. Zbl 1332.93053
Helmke, Uwe; Jordan, Jens; Lieb, Julia
5
2016
Counting critical formations on the circle: algebraic-geometric and Morse-theoretic bounds. Zbl 1342.93035
Lageman, Christian; Helmke, Uwe
1
2016
Minimum sensitivity realizations of networks of linear systems. Zbl 1346.93132
Helmke, Uwe; Schönlein, Michael
1
2016
Controllability of ensembles of linear dynamical systems. Zbl 07313643
Schönlein, Michael; Helmke, Uwe
1
2016
The mathematics of networks of linear systems. Zbl 1352.93003
Fuhrmann, Paul A.; Helmke, Uwe
23
2015
Reachability of random linear systems over finite fields. Zbl 1327.93066
Helmke, Uwe; Jordan, Jens; Lieb, Julia
2
2015
Zeros of networked systems with time-invariant interconnections. Zbl 1327.93037
Zamani, Mohsen; Helmke, Uwe; Anderson, Brian D. O.
1
2015
Uniform ensemble controllability for one-parameter families of time-invariant linear systems. Zbl 1296.93025
Helmke, Uwe; Schönlein, Michael
14
2014
Counting critical formations on a line. Zbl 1327.93006
Anderson, Brian D. O.; Helmke, Uwe
11
2014
Entropy of controlled invariant subspaces. Zbl 1285.93042
Colonius, Fritz; Helmke, Uwe
2
2014
Reachability, observability and strict equivalence of networks of linear systems. Zbl 1283.93047
Fuhrmann, Paul A.; Helmke, Uwe
5
2013
On the zeros of blocked time-invariant systems. Zbl 1277.93038
Zamani, Mohsen; Anderson, Brian D. O.; Helmke, Uwe; Chen, Weitian
1
2013
Controllability aspects of quantum dynamics: a unified approach for closed and open systems. Zbl 1369.81044
Kurniawan, Indra; Dirr, Gunther; Helmke, Uwe
3
2012
On theorems of Halmos and Roth. Zbl 1275.15008
Fuhrmann, P. A.; Helmke, U.
2
2012
Riemannian optimization on tensor products of Grassmann manifolds: applications to generalized Rayleigh-quotients. Zbl 1250.65082
Curtef, O.; Dirr, G.; Helmke, U.
2
2012
Control theory: mathematical perspectives on complex networked systems. Abstracts from the workshop held February 26 – March 3, 2012. Zbl 1349.00031
Allgöwer, Frank; Blondel, Vincent; Helmke, Uwe
1
2012
Positive observers for linear positive systems, and their implications. Zbl 1245.93026
Rami, Mustapha Ait; Tadeo, Fernando; Helmke, Uwe
29
2011
Structure and parametrization of periodic linear systems. Zbl 1248.93034
Helmke, U.; Verriest, E. I.
6
2011
Equivalence conditions for behaviors and the Kronecker canonical form. Zbl 1248.93033
Fuhrmann, P. A.; Helmke, U.
1
2011
Gradient flows for optimization in quantum information and quantum dynamics: foundations and applications. Zbl 1208.49001
Schulte-Herbrüggen, Thomas; Glaser, Steffen J.; Dirr, Gunther; Helmke, Uwe
10
2010
Control and stabilization of linear equation solvers. Zbl 1198.93093
Helmke, Uwe; Jordan, Jens
3
2010
Unimodular equivalence of polynomial matrices. Zbl 1387.93058
Fuhrmann, P. A.; Helmke, U.
2
2010
On the elementary divisors of the Sylvester and Lyapunov maps. Zbl 1188.15021
Fuhrmann, P. A.; Helmke, U.
2
2010
Tensored polynomial models. Zbl 1181.15032
Fuhrmann, P. A.; Helmke, U.
2
2010
A differential equation for diagonalizing complex semisimple Lie algebra elements. Zbl 1186.93022
Helmke, Uwe; Kleinsteuber, Martin
1
2010
Algebraic decoding for doubly cyclic convolutional codes. Zbl 1190.94036
Gluesing-Luerssen, Heide; Helmke, Uwe; Iglesias Curto, José Ignacio
1
2010
On the use of functional models in model reduction. Zbl 1198.15012
Fuhrmann, Paul A.; Helmke, Uwe
1
2010
Lie-semigroup structures for reachability and control of open quantum systems: Kossakowski-Lindblad generators form Lie wedge to Markovian channels. Zbl 1204.81086
Dirr, G.; Helmke, U.; Kurniawan, I.; Schulte-Herbrüggen, T.
6
2009
Global convergence of nonlinear cascade flows with Morse-Bott zero dynamics. Zbl 1161.93019
Helmke, U.
4
2009
The significance of the \(C\)-numerical range and the local \(C\)-numerical range in quantum control and quantum information. Zbl 1134.81018
Schulte-Herbrüggen, Thomas; Dirr, Gunther; Helmke, Uwe; Glaser, Steffen J.
14
2008
Lie theory for quantum control. Zbl 1197.81199
Dirr, G.; Helmke, U.
10
2008
Relative \(C\)-numerical ranges for applications in quantum control and quantum information. Zbl 1134.81012
Dirr, G.; Helmke, U.; Kleinsteuber, M.; Schulte-Herbrüggen, Th.
9
2008
Accessibility of a class of generalized double-bracket flows. Zbl 1234.37054
Dirr, G.; Helmke, U.
2
2008
A finite steps algorithm for solving convex feasibility problems. Zbl 1180.90239
Rami, M. Ait; Helmke, U.; Moore, J. B.
7
2007
Nonsmooth Riemannian optimization with applications to sphere packing and grasping. Zbl 1151.53029
Dirr, Gunther; Helmke, Uwe; Langeman, Christian
4
2007
Bruhat canonical form for linear systems. Zbl 1123.93028
Manthey, Wilfried; Helmke, Uwe
3
2007
Tensored polynomial models. Zbl 1137.93033
Fuhrmann, Paul; Helmke, Uwe
1
2007
A Newton-like method for solving rank constrained linear matrix inequalities. Zbl 1222.90032
Orsi, Robert; Helmke, Uwe; Moore, John B.
33
2006
Spin dynamics: A paradigm for time optimal control on compact Lie groups. Zbl 1138.81058
Dirr, G.; Helmke, U.; Hüper, K.; Kleinsteuber, M.; Liu, Y.
5
2006
Simultaneous versal deformations of endomorphisms and invariant subspaces. Zbl 1093.15002
Compta, Albert; Helmke, Uwe; Peña, Marta; Puerta, Xavier
4
2006
Output feedback pole assignment for transfer functions with symmetries. Zbl 1127.93036
Helmke, Uwe; Rosenthal, Joachim; Wang, Xiaochang Alex
3
2006
Lie algebra representations, nilpotent matrices, and the \(C\)-numerical range. Zbl 1089.15027
Dirr, G.; Helmke, U.; Kleinsteuber, M.
2
2006
A dual purpose principal and minor component flow. Zbl 1129.34319
Manton, Jonathan H.; Helmke, Uwe; Mareels, Iven M. Y.
5
2005
Optimal control of iterative solution methods for linear systems of equations. Zbl 1391.49029
Helmke, Uwe; Jordan, Jens
2
2005
Conditioned invariant subspaces and the geometry of nilpotent matrices. Zbl 1203.93049
Helmke, Uwe; Trumpf, Jochen
1
2005
Jacobi’s algorithm on compact Lie algebras. Zbl 1077.65037
Kleinsteuber, M.; Helmke, U.; Huper, K.
6
2004
Time optimal factorizations on compact Lie groups. Zbl 1354.22007
Dirr, G.; Helmke, U.; Kleinsteuber, M.
1
2004
Towards a compactification of the set of conditioned invariant subspaces. Zbl 1134.93319
Trumpf, J.; Helmke, U.; Fuhrmann, P. A.
1
2003
Computation of signature symmetric balanced realizations. Zbl 1045.93015
Helmke, U.; Hüper, K.; Moore, J. B.
1
2003
Gradient flows computing the C-numerical range with applications in NMR spectroscopy. Zbl 1016.65026
Helmke, U.; Hüper, K.; Moore, J. B.; Schulte-Herbrüggen, Th.
11
2002
Output feedback invariants. Zbl 1008.93023
Ravi, M. S.; Rosenthal, Joachim; Helmke, Uwe
5
2002
Newton’s algorithm in Euclidean Jordan algebras, with applications to robotics. Zbl 1087.68673
Helmke, Uwe; Ricardo, Sandra; Yoshizawa, Shintaro
4
2002
Convergence analysis for principal component flows. Zbl 1169.93344
Yoshizawa, Shintaro; Helmke, Uwe; Starkov, Konstantin
2
2002
Diagonalization of time varying symmetric matrices. Zbl 1056.65039
Baumann, Markus; Helmke, Uwe
1
2002
On the parametrization of conditioned invariant subspaces and observer theory. Zbl 1031.93062
Fuhrmann, P. A.; Helmke, U.
19
2001
Minimal partial realization by descriptor systems. Zbl 0986.93017
Hinrichsen, D.; Manthey, W.; Helmke, U.
9
2001
Connectivity properties of spaces of partial realizations. Zbl 1032.93006
Manthey, W.; Helmke, U.
3
2001
On controllability of the real shifted inverse power iteration. Zbl 1032.93003
Helmke, U.; Wirth, F.
2
2001
The topology of the set of conditioned invariant subspaces. Zbl 0977.93023
Puerta, X.; Helmke, U.
6
2000
Controllability of matrix eigenvalue algorithms: the inverse power method. Zbl 0985.93003
Helmke, U.; Fuhrmann, P. A.
3
2000
A Jacobi-type method for computing balanced realizations. Zbl 0985.93016
Helmke, U.; Hüper, K.
1
2000
Controllability of the shifted inverse power iteration: The case of real shifts. Zbl 0963.65040
Helmke, Uwe; Wirth, Fabian
1
2000
Jacobi-type methods in computer vision: A case study. Zbl 0913.68215
Hüper, K.; Helmke, U.
2
1998
Tangent spaces of rational matrix functions. Zbl 0895.15007
Helmke, U.; Fuhrmann, P. A.
2
1998
A homeomorphism between observable pairs and conditioned invariant subspaces. Zbl 0901.93008
Fuhrmann, P. A.; Helmke, U.
9
1997
A controllability test for general first-order representations. Zbl 0874.93018
Helmke, U.; Rosenthal, J.; Schumacher, J. M.
3
1997
Generalized partial realizations. Zbl 0890.93017
Manthey, W.; Helmke, U.; Hinrichsen, D.
3
1997
The Jacobi method: A tool for computation and control. Zbl 0880.93013
Helmke, U.; Hüper, K.
2
1997
On Fischer-Frobenius transformations and the structure of rectangular block Hankel matrices. Zbl 0873.15013
Manthey, W.; Hinrichsen, D.; Helmke, U.
4
1996
Gradient algorithms for principal component analysis. Zbl 0855.65033
Mahony, R. E.; Helmke, U.; Moore, J. B.
4
1996
Critical points of matrix least squares distance functions. Zbl 0816.15026
Helmke, Uwe; Shayman, Mark A.
16
1995
Eigenvalue inequalities and Schubert calculus. Zbl 0815.15012
Helmke, Uwe; Rosenthal, Joachim
12
1995
System assignment and pole placement for symmetric realisations. Zbl 0852.93035
Mahony, Robert; Helmke, Uwe
4
1995
\(L^ 2\) sensitivity minimization of linear system representations via gradient flows. Zbl 0857.93028
Helmke, U.; Moore, J. B.
3
1995
Isospectral matrix flows for numerical analysis. Zbl 0826.65025
Helmke, U.
1
1995
Optimization and dynamical systems. Foreword by R. W. Brockett. Zbl 0943.93001
Helmke, U.; Moore, J. B.
83
1994
Optimization and dynamical systems. Zbl 0984.49001
Helmke, Uwe; Moore, John B.
55
1994
Numerical gradient algorithms for eigenvalue and singular value calculations. Zbl 0808.65031
Moore, John B.; Mahony, R. E.; Helmke, Uwe
10
1994
Recursive algorithms for solving a class of nonlinear matrix equations with applications to certain sensitivity optimization problems. Zbl 0808.93026
Yan, Wei-Yong; Moore, John B.; Helmke, Uwe
5
1994
Dynamical systems that compute balanced realizations and the singular value decomposition. Zbl 0806.93021
Helmke, Uwe; Moore, John B.; Perkins, J. E.
2
1994
A compactification of the space of rational transfer functions by singular systems. Zbl 0785.93025
Helmke, Uwe
8
1993
The cohomology of moduli spaces of linear dynamical systems. Zbl 0786.93014
Helmke, Uwe
7
1993
Balanced realizations for linear systems: A variational approach. Zbl 0770.93044
Helmke, Uwe
4
1993
Topological aspects of the partial realization problem. Zbl 0748.93040
Manthey, W.; Helmke, Uwe; Hinrichsen, Diederich
10
1992
Waring’s problem for binary forms. Zbl 0791.11020
Helmke, Uwe
8
1992
Singular-value decomposition via gradient and self-equivalent flows. Zbl 0763.65022
Helmke, Uwe; Moore, John B.
6
1992
Hermitian pencils and output feedback stabilization of scalar systems. Zbl 0760.93066
Helmke, Uwe; Anderson, B. D. O.
4
1992
The cohomology of the moduli space of controllable linear systems. Zbl 0768.93009
Helmke, Uwe; Byrnes, Christopher I.
1
1992
Topology of the orbit space of generalized linear systems. Zbl 0741.93025
Helmke, Uwe; Shayman, Mark A.
9
1991
Isospectral flows on symmetric matrices and the Riccati equation. Zbl 0732.93045
Helmke, Uwe
5
1991
Balanced realizations via gradient flow techniques. Zbl 0699.93010
Perkins, J. E.; Helmke, U.; Moore, J. B.
9
1990
Adaptive tracking for scalar minimum phase systems. Zbl 0726.93043
Helmke, Uwe; Prätzel-Wolters, Dieter; Schmid, S.
8
1990
The cohomology of moduli spaces of linear dynamical systems. Zbl 0748.93018
Helmke, Uwe
3
1990
A note on the geometry of partial realization. Zbl 0726.93016
Manthey, W.; Helmke, Uwe; Hinrichsen, Diederich
2
1990
Bézoutians. Zbl 0679.93009
Helmke, U.; Fuhrmann, P. A.
28
1989
A canonical form for controllable singular systems. Zbl 0667.93016
Helmke, U.; Shayman, M. A.
8
1989
A global parametrization of asymptotically stable linear systems. Zbl 0697.93015
Helmke, Uwe
5
1989
A cell decomposition of the space of real Hankel matrices of rank \(\leq n\) and some applications. Zbl 0693.15010
Helmke, Uwe; Hinrichsen, Diederich; Manthey, W.
2
1989
...and 8 more Documents
all top 5

Cited by 825 Authors

57 Helmke, Uwe R.
18 Fuhrmann, Paul A.
12 Anderson, Brian David Outram
11 Dirr, Gunther
11 Puerta, Ferran
10 Lam, James
10 Puerta, Xavier
9 Hinrichsen, Diederich
9 Moore, John Barratt
8 Zaballa, Ion
7 Manthey, Wilfried
7 Petersen, Ian Richard
6 Absil, Pierre-Antoine
6 Baragaña, Itziar
6 Rosenthal, Joachim
6 Schulte-Herbrüggen, Thomas
5 Fishman, Shmuel
5 Hüper, Knut
5 Ilchmann, Achim
5 Kleinsteuber, Martin
5 Lieb, Julia
5 Ram, Samrith
5 Ryan, Eugene P.
5 Shen, Jun
5 Sun, Zhiyong
4 Chen, Xudong
4 Ferreira, Orizon Pereira
4 James, Matthew R.
4 Jiang, Danchi
4 Li, Chi-Kwong
4 Luo, Xinlong
4 Mou, Shaoshuai
4 Shi, Guodong
4 Siegelmann, Hava T.
4 Uschmajew, André
4 Verriest, Erik I.
4 Wang, Yanwu
3 Arsie, Alessandro
3 Ben-Hur, Asa
3 Borzì, Alfio
3 Cao, Liping
3 Colonius, Fritz
3 Combastel, Christophe
3 Díaz-Toca, Gema María
3 Ebenbauer, Christian
3 Feinberg, Joshua
3 Glaser, Steffen J.
3 Hori, Gen-Ichiro
3 Lageman, Christian
3 Lee, Donghwan
3 Li, Jr-Shin
3 Liu, Chein-Shan
3 Liu, Yiguang
3 Lopez, Luciano
3 Nakazato, Hiroshi
3 Orsi, Robert
3 Osetinskii, N. I.
3 Pena, Marta Conde
3 Pernet, Clément
3 Poon, Yiu-Tung
3 Prätzel-Wolters, Dieter
3 Rapisarda, Paolo
3 Ravi, M. S.
3 Schönlein, Michael
3 Sendov, Hristo S.
3 Shayman, Mark A.
3 Sigalotti, Mario
3 Stupariu, Mihai-Sorin
3 Ticozzi, Francesco
3 Trumpf, Jochen
3 Xiao, Jiang-Wen
3 You, Zhisheng
3 Zhang, Wei
2 Ahn, Hyo-Sung
2 Ait Rami, Mustapha
2 Alpay, Daniel Aron
2 Arora, Akansha
2 Augier, Nicolas
2 Babazadeh, Maryam
2 Başar, Tamer
2 Belabbas, Mohamed-Ali
2 Boscain, Ugo
2 Bullo, Francesco
2 Celledoni, Elena
2 Chakrabarti, Raj
2 Chehab, Jean-Paul
2 Chen, Yong
2 Chien, Mao-Ting
2 Ciaramella, Gabriele
2 Compta, Albert
2 Cortés, Jorge
2 Cui, Yukang
2 de la Sen, Manuel
2 De Lathauwer, Lieven
2 Deghat, Mohammad
2 Dong, Daoyi
2 Driessel, Kenneth R.
2 Duan, Xuefeng
2 Easter Selvan, S.
2 El-Sayed, Salah M.
...and 725 more Authors
all top 5

Cited in 159 Serials

87 Linear Algebra and its Applications
61 Automatica
54 Systems & Control Letters
16 International Journal of Control
15 MCSS. Mathematics of Control, Signals, and Systems
11 Journal of Computational and Applied Mathematics
10 SIAM Journal on Control and Optimization
10 International Journal of Robust and Nonlinear Control
9 Journal of the Franklin Institute
8 Applied Mathematics and Computation
8 Journal of Optimization Theory and Applications
8 Journal of Symbolic Computation
7 Linear and Multilinear Algebra
7 Journal of Global Optimization
6 Journal of Mathematical Physics
6 Acta Applicandae Mathematicae
5 SIAM Journal on Optimization
5 European Journal of Control
4 Numerical Algorithms
4 Mathematical Programming. Series A. Series B
4 Foundations of Computational Mathematics
3 Applied Mathematics and Optimization
3 Kybernetika
3 Topology and its Applications
3 Applied Numerical Mathematics
3 Journal of Complexity
3 Japan Journal of Industrial and Applied Mathematics
3 Mathematical Problems in Engineering
3 GAMM-Mitteilungen
3 Optimization Letters
3 SIAM Journal on Imaging Sciences
3 Asian Journal of Control
3 International Journal of Systems Science. Principles and Applications of Systems and Integration
2 Communications in Mathematical Physics
2 Journal of Computational Physics
2 Journal of Mathematical Analysis and Applications
2 Physics Letters. A
2 Mathematics of Computation
2 Journal of Combinatorial Theory. Series A
2 Journal of Differential Equations
2 Mathematics and Computers in Simulation
2 Numerische Mathematik
2 Proceedings of the American Mathematical Society
2 SIAM Journal on Numerical Analysis
2 Theoretical Computer Science
2 Optimization
2 Journal of the American Mathematical Society
2 Neural Networks
2 Computational Mathematics and Modeling
2 Neural Computation
2 Bulletin of the American Mathematical Society. New Series
2 Indagationes Mathematicae. New Series
2 Journal of Mathematical Imaging and Vision
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Differential Equations
2 Quantum Information Processing
2 Mediterranean Journal of Mathematics
2 Nonlinear Analysis. Hybrid Systems
2 Numerical Algebra, Control and Optimization
1 Communications in Algebra
1 Computers & Mathematics with Applications
1 International Journal of General Systems
1 International Journal of Theoretical Physics
1 Information Processing Letters
1 Journal d’Analyse Mathématique
1 Reports on Mathematical Physics
1 Russian Mathematical Surveys
1 Reviews in Mathematical Physics
1 Chaos, Solitons and Fractals
1 Acta Mathematica
1 Advances in Mathematics
1 Annales de l’Institut Fourier
1 BIT
1 Fuzzy Sets and Systems
1 Information Sciences
1 International Journal of Mathematics and Mathematical Sciences
1 Integral Equations and Operator Theory
1 Journal of Approximation Theory
1 Journal of Pure and Applied Algebra
1 Mathematical Systems Theory
1 Monatshefte für Mathematik
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Transactions of the American Mathematical Society
1 Optimal Control Applications & Methods
1 Bulletin of the Korean Mathematical Society
1 Circuits, Systems, and Signal Processing
1 Computer Aided Geometric Design
1 Physica D
1 Discrete & Computational Geometry
1 Computational Mechanics
1 Applied Mathematics Letters
1 SIAM Journal on Matrix Analysis and Applications
1 Journal of Scientific Computing
1 Multidimensional Systems and Signal Processing
1 International Journal of Adaptive Control and Signal Processing
1 Dynamics and Control
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Computational Statistics
1 Annals of Physics
1 European Journal of Operational Research
...and 59 more Serials
all top 5

Cited in 50 Fields

273 Systems theory; control (93-XX)
107 Linear and multilinear algebra; matrix theory (15-XX)
94 Numerical analysis (65-XX)
84 Operations research, mathematical programming (90-XX)
44 Quantum theory (81-XX)
41 Calculus of variations and optimal control; optimization (49-XX)
39 Computer science (68-XX)
32 Algebraic geometry (14-XX)
31 Dynamical systems and ergodic theory (37-XX)
30 Ordinary differential equations (34-XX)
27 Operator theory (47-XX)
17 Differential geometry (53-XX)
13 Information and communication theory, circuits (94-XX)
12 Topological groups, Lie groups (22-XX)
12 Global analysis, analysis on manifolds (58-XX)
11 Combinatorics (05-XX)
11 Number theory (11-XX)
11 Probability theory and stochastic processes (60-XX)
9 Commutative algebra (13-XX)
8 Statistics (62-XX)
7 Associative rings and algebras (16-XX)
7 Partial differential equations (35-XX)
6 Field theory and polynomials (12-XX)
6 Functional analysis (46-XX)
5 Nonassociative rings and algebras (17-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Algebraic topology (55-XX)
5 Manifolds and cell complexes (57-XX)
5 Biology and other natural sciences (92-XX)
4 Group theory and generalizations (20-XX)
4 Functions of a complex variable (30-XX)
4 Optics, electromagnetic theory (78-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Approximations and expansions (41-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 Category theory; homological algebra (18-XX)
2 Difference and functional equations (39-XX)
2 Geometry (51-XX)
2 General topology (54-XX)
2 Mechanics of particles and systems (70-XX)
1 General and overarching topics; collections (00-XX)
1 Real functions (26-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral equations (45-XX)
1 Convex and discrete geometry (52-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)
1 Mathematics education (97-XX)

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