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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, U.; Helmke, Uwe; 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

108 Publications have been cited 785 times in 528 Documents Cited by Year
Optimization and dynamical systems. Zbl 0984.49001
Helmke, Uwe; Moore, John B.
94
1994
Optimization and dynamical systems. Foreword by R. W. Brockett. Zbl 0943.93001
Helmke, U.; Moore, J. B.
80
1994
Positive observers for linear positive systems, and their implications. Zbl 1245.93026
Rami, Mustapha Ait; Tadeo, Fernando; Helmke, Uwe
34
2011
A Newton-like method for solving rank constrained linear matrix inequalities. Zbl 1222.90032
Orsi, Robert; Helmke, Uwe; Moore, John B.
33
2006
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.
15
1995
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
Topology of the moduli space for reachable linear dynamical systems: The complex case. Zbl 0624.93016
Helmke, Uwe
13
1986
The topology of a moduli space for linear dynamical systems. Zbl 0613.93008
Helmke, Uwe
13
1985
Uniform ensemble controllability for one-parameter families of time-invariant linear systems. Zbl 1296.93025
Helmke, Uwe; Schönlein, Michael
12
2014
Eigenvalue inequalities and Schubert calculus. Zbl 0815.15012
Helmke, Uwe; Rosenthal, Joachim
12
1995
Counting critical formations on a line. Zbl 1327.93006
Anderson, Brian D. O.; Helmke, Uwe
11
2014
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
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
Lie theory for quantum control. Zbl 1197.81199
Dirr, G.; Helmke, U.
10
2008
Numerical gradient algorithms for eigenvalue and singular value calculations. Zbl 0808.65031
Moore, John B.; Mahony, R. E.; Helmke, Uwe
10
1994
Topological aspects of the partial realization problem. Zbl 0748.93040
Manthey, W.; Helmke, Uwe; Hinrichsen, Diederich
10
1992
Decentralized gradient algorithm for solution of a linear equation. Zbl 1346.93159
Anderson, Brian; Mou, Shaoshuai; Morse, A.; Helmke, Uwe
9
2016
Minimal partial realization by descriptor systems. Zbl 0986.93017
Hinrichsen, D.; Manthey, W.; Helmke, U.
9
2001
A homeomorphism between observable pairs and conditioned invariant subspaces. Zbl 0901.93008
Fuhrmann, P. A.; Helmke, U.
9
1997
The cohomology of moduli spaces of linear dynamical systems. Zbl 0786.93014
Helmke, Uwe
9
1993
Topology of the orbit space of generalized linear systems. Zbl 0741.93025
Helmke, Uwe; Shayman, Mark A.
9
1991
Adaptive tracking for scalar minimum phase systems. Zbl 0726.93043
Helmke, Uwe; Prätzel-Wolters, Dieter; Schmid, S.
9
1990
Balanced realizations via gradient flow techniques. Zbl 0699.93010
Perkins, J. E.; Helmke, U.; Moore, J. B.
9
1990
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.
8
2008
Network flows that solve linear equations. Zbl 1369.90023
Shi, Guodong; Anderson, Brian D. O.; Helmke, Uwe
7
2017
A finite steps algorithm for solving convex feasibility problems. Zbl 1180.90239
Rami, M. Ait; Helmke, U.; Moore, J. B.
7
2007
A compactification of the space of rational transfer functions by singular systems. Zbl 0785.93025
Helmke, Uwe
7
1993
Waring’s problem for binary forms. Zbl 0791.11020
Helmke, Uwe
7
1992
A canonical form for controllable singular systems. Zbl 0667.93016
Helmke, U.; Shayman, M. A.
7
1989
Structure and parametrization of periodic linear systems. Zbl 1248.93034
Helmke, U.; Verriest, E. I.
6
2011
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
The topology of the set of conditioned invariant subspaces. Zbl 0977.93023
Puerta, X.; Helmke, U.
6
2000
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
6
1994
Singular-value decomposition via gradient and self-equivalent flows. Zbl 0763.65022
Helmke, Uwe; Moore, John B.
6
1992
A global parametrization of asymptotically stable linear systems. Zbl 0697.93015
Helmke, Uwe
6
1989
Reachability, observability and strict equivalence of networks of linear systems. Zbl 1283.93047
Fuhrmann, Paul A.; Helmke, Uwe
5
2013
A dual purpose principal and minor component flow. Zbl 1129.34319
Manton, Jonathan H.; Helmke, Uwe; Mareels, Iven M. Y.
5
2005
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
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.
5
1989
Output feedback invariants and canonical forms for linear dynamical systems. Zbl 0675.93022
Fuhrmann, P. A.; Helmke, U.
5
1988
Linear dynamical systems and instantons in Yang-Mills theory. Zbl 0633.93018
Helmke, U.
5
1986
Global convergence of nonlinear cascade flows with Morse-Bott zero dynamics. Zbl 1161.93019
Helmke, U.
4
2009
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.
4
2006
Simultaneous versal deformations of endomorphisms and invariant subspaces. Zbl 1093.15002
Compta, Albert; Helmke, Uwe; Peña, Marta; Puerta, Xavier
4
2006
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
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
The cohomology of moduli spaces of linear dynamical systems. Zbl 0748.93018
Helmke, Uwe
4
1990
Stability and robustness properties of universal adaptive controllers for first-order linear systems. Zbl 0671.93031
Helmke, Uwe; Prätzel-Wolters, Dieter
4
1988
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
Minimum sensitivity realizations of networks of linear systems. Zbl 1346.93132
Helmke, Uwe; Schönlein, Michael
3
2016
Probability estimates for reachability of linear systems defined over finite fields. Zbl 1332.93053
Helmke, Uwe; Jordan, Jens; Lieb, Julia
3
2016
Controllability aspects of quantum dynamics: a unified approach for closed and open systems. Zbl 1369.81044
Kurniawan, Indra; Dirr, Gunther; Helmke, Uwe
3
2012
Control and stabilization of linear equation solvers. Zbl 1198.93093
Helmke, Uwe; Jordan, Jens
3
2010
Tensored polynomial models. Zbl 1181.15032
Fuhrmann, P. A.; Helmke, U.
3
2010
Nonsmooth Riemannian optimization with applications to sphere packing and grasping. Zbl 1151.53029
Dirr, Gunther; Helmke, Uwe; Langeman, Christian
3
2007
Output feedback pole assignment for transfer functions with symmetries. Zbl 1127.93036
Helmke, Uwe; Rosenthal, Joachim; Wang, Xiaochang Alex
3
2006
Newton’s algorithm in Euclidean Jordan algebras, with applications to robotics. Zbl 1087.68673
Helmke, Uwe; Ricardo, Sandra; Yoshizawa, Shintaro
3
2002
Connectivity properties of spaces of partial realizations. Zbl 1032.93006
Manthey, W.; Helmke, U.
3
2001
Controllability of matrix eigenvalue algorithms: the inverse power method. Zbl 0985.93003
Helmke, U.; Fuhrmann, P. A.
3
2000
Generalized partial realizations. Zbl 0890.93017
Manthey, W.; Helmke, U.; Hinrichsen, D.
3
1997
A controllability test for general first-order representations. Zbl 0874.93018
Helmke, U.; Rosenthal, J.; Schumacher, J. M.
3
1997
\(L^ 2\) sensitivity minimization of linear system representations via gradient flows. Zbl 0857.93028
Helmke, U.; Moore, J. B.
3
1995
Dynamical systems that compute balanced realizations and the singular value decomposition. Zbl 0806.93021
Helmke, Uwe; Moore, John B.; Perkins, J. E.
3
1994
The cohomology of the moduli space of controllable linear systems. Zbl 0768.93009
Helmke, Uwe; Byrnes, Christopher I.
3
1992
A partial compactification for linear systems. Zbl 0623.93015
Helmke, Uwe; Manthey, Wilfried
3
1986
Reachability of random linear systems over finite fields. Zbl 1327.93066
Helmke, Uwe; Jordan, Jens; Lieb, Julia
2
2015
Entropy of controlled invariant subspaces. Zbl 1285.93042
Colonius, Fritz; Helmke, Uwe
2
2014
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
Unimodular equivalence of polynomial matrices. Zbl 1387.93058
Fuhrmann, P. A.; Helmke, U.
2
2010
Accessibility of a class of generalized double-bracket flows. Zbl 1234.37054
Dirr, G.; Helmke, U.
2
2008
Bruhat canonical form for linear systems. Zbl 1123.93028
Manthey, Wilfried; Helmke, Uwe
2
2007
Lie algebra representations, nilpotent matrices, and the \(C\)-numerical range. Zbl 1089.15027
Dirr, G.; Helmke, U.; Kleinsteuber, M.
2
2006
Optimal control of iterative solution methods for linear systems of equations. Zbl 1391.49029
Helmke, Uwe; Jordan, Jens
2
2005
Convergence analysis for principal component flows. Zbl 1169.93344
Yoshizawa, Shintaro; Helmke, Uwe; Starkov, Konstantin
2
2002
On controllability of the real shifted inverse power iteration. Zbl 1032.93003
Helmke, U.; Wirth, F.
2
2001
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
The Jacobi method: A tool for computation and control. Zbl 0880.93013
Helmke, U.; Hüper, K.
2
1997
A note on the geometry of partial realization. Zbl 0726.93016
Manthey, W.; Helmke, Uwe; Hinrichsen, Diederich
2
1990
Controllability of ensembles of linear dynamical systems. Zbl 07313643
Schönlein, Michael; Helmke, Uwe
1
2016
Counting critical formations on the circle: algebraic-geometric and Morse-theoretic bounds. Zbl 1342.93035
Lageman, Christian; Helmke, Uwe
1
2016
Zeros of networked systems with time-invariant interconnections. Zbl 1327.93037
Zamani, Mohsen; Helmke, Uwe; Anderson, Brian D. O.
1
2015
On the zeros of blocked time-invariant systems. Zbl 1277.93038
Zamani, Mohsen; Anderson, Brian D. O.; Helmke, Uwe; Chen, Weitian
1
2013
Equivalence conditions for behaviors and the Kronecker canonical form. Zbl 1248.93033
Fuhrmann, P. A.; Helmke, U.
1
2011
On the use of functional models in model reduction. Zbl 1198.15012
Fuhrmann, Paul A.; Helmke, Uwe
1
2010
Algebraic decoding for doubly cyclic convolutional codes. Zbl 1190.94036
Gluesing-Luerssen, Heide; Helmke, Uwe; Iglesias Curto, José Ignacio
1
2010
A differential equation for diagonalizing complex semisimple Lie algebra elements. Zbl 1186.93022
Helmke, Uwe; Kleinsteuber, Martin
1
2010
On the elementary divisors of the Sylvester and Lyapunov maps. Zbl 1188.15021
Fuhrmann, P. A.; Helmke, U.
1
2010
Tensored polynomial models. Zbl 1137.93033
Fuhrmann, Paul; Helmke, Uwe
1
2007
Conditioned invariant subspaces and the geometry of nilpotent matrices. Zbl 1203.93049
Helmke, Uwe; Trumpf, Jochen
1
2005
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
9
2016
Minimum sensitivity realizations of networks of linear systems. Zbl 1346.93132
Helmke, Uwe; Schönlein, Michael
3
2016
Probability estimates for reachability of linear systems defined over finite fields. Zbl 1332.93053
Helmke, Uwe; Jordan, Jens; Lieb, Julia
3
2016
Controllability of ensembles of linear dynamical systems. Zbl 07313643
Schönlein, Michael; Helmke, Uwe
1
2016
Counting critical formations on the circle: algebraic-geometric and Morse-theoretic bounds. Zbl 1342.93035
Lageman, Christian; 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
12
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
Positive observers for linear positive systems, and their implications. Zbl 1245.93026
Rami, Mustapha Ait; Tadeo, Fernando; Helmke, Uwe
34
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
Tensored polynomial models. Zbl 1181.15032
Fuhrmann, P. A.; Helmke, U.
3
2010
Unimodular equivalence of polynomial matrices. Zbl 1387.93058
Fuhrmann, P. A.; Helmke, U.
2
2010
On the use of functional models in model reduction. Zbl 1198.15012
Fuhrmann, Paul A.; Helmke, Uwe
1
2010
Algebraic decoding for doubly cyclic convolutional codes. Zbl 1190.94036
Gluesing-Luerssen, Heide; Helmke, Uwe; Iglesias Curto, José Ignacio
1
2010
A differential equation for diagonalizing complex semisimple Lie algebra elements. Zbl 1186.93022
Helmke, Uwe; Kleinsteuber, Martin
1
2010
On the elementary divisors of the Sylvester and Lyapunov maps. Zbl 1188.15021
Fuhrmann, P. A.; Helmke, U.
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.
8
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
3
2007
Bruhat canonical form for linear systems. Zbl 1123.93028
Manthey, Wilfried; Helmke, Uwe
2
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.
4
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
3
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
Generalized partial realizations. Zbl 0890.93017
Manthey, W.; Helmke, U.; Hinrichsen, D.
3
1997
A controllability test for general first-order representations. Zbl 0874.93018
Helmke, U.; Rosenthal, J.; Schumacher, J. M.
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.
15
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. Zbl 0984.49001
Helmke, Uwe; Moore, John B.
94
1994
Optimization and dynamical systems. Foreword by R. W. Brockett. Zbl 0943.93001
Helmke, U.; Moore, J. B.
80
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
6
1994
Dynamical systems that compute balanced realizations and the singular value decomposition. Zbl 0806.93021
Helmke, Uwe; Moore, John B.; Perkins, J. E.
3
1994
The cohomology of moduli spaces of linear dynamical systems. Zbl 0786.93014
Helmke, Uwe
9
1993
A compactification of the space of rational transfer functions by singular systems. Zbl 0785.93025
Helmke, Uwe
7
1993
Balanced realizations for linear systems: A variational approach. Zbl 0770.93044
Helmke, Uwe
4
1993
Isospectral flows and linear programming. Zbl 0774.58034
Helmke, Uwe
1
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
7
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.
3
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
Adaptive tracking for scalar minimum phase systems. Zbl 0726.93043
Helmke, Uwe; Prätzel-Wolters, Dieter; Schmid, S.
9
1990
Balanced realizations via gradient flow techniques. Zbl 0699.93010
Perkins, J. E.; Helmke, U.; Moore, J. B.
9
1990
The cohomology of moduli spaces of linear dynamical systems. Zbl 0748.93018
Helmke, Uwe
4
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.
7
1989
A global parametrization of asymptotically stable linear systems. Zbl 0697.93015
Helmke, Uwe
6
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.
5
1989
...and 8 more Documents
all top 5

Cited by 831 Authors

57 Helmke, Uwe R.
18 Fuhrmann, Paul A.
12 Anderson, Brian David Outram
11 Dirr, Gunther
11 Lam, James
11 Puerta, Ferran
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 Mou, Shaoshuai
6 Rosenthal, Joachim
6 Ryan, Eugene P.
6 Schulte-Herbrüggen, Thomas
5 Fishman, Shmuel
5 Hüper, Knut
5 Ilchmann, Achim
5 Kleinsteuber, Martin
5 Lieb, Julia
5 Shen, Jun
5 Sun, Zhiyong
4 Ait Rami, Mustapha
4 Chen, Xudong
4 James, Matthew R.
4 Jiang, Danchi
4 Li, Chi-Kwong
4 Morse, A. Stephen
4 Schönlein, Michael
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 Cao, Liping
3 Colonius, Fritz
3 Combastel, Christophe
3 Díaz-Toca, Gema María
3 Ebenbauer, Christian
3 Feinberg, Joshua
3 Ferreira, Orizon Pereira
3 Glaser, Steffen J.
3 Hori, Gen-Ichiro
3 Jordan, Jens
3 Lageman, Christian
3 Lee, Donghwan
3 Liu, Chein-Shan
3 Liu, Yiguang
3 Lopez, Luciano
3 Luo, Xinlong
3 Nakazato, Hiroshi
3 Orsi, Robert
3 Osetinskii, N. I.
3 Pena, Marta Conde
3 Poon, Yiu-Tung
3 Prätzel-Wolters, Dieter
3 Ram, Samrith
3 Rapisarda, Paolo
3 Ravi, M. S.
3 Sendov, Hristo S.
3 Shayman, Mark A.
3 Stupariu, Mihai-Sorin
3 Ticozzi, Francesco
3 Trumpf, Jochen
3 Xiao, Jiang-Wen
3 You, Zhisheng
2 Ahn, Hyo-Sung
2 Alpay, Daniel Aron
2 Babazadeh, Maryam
2 Başar, Tamer
2 Belabbas, Mohamed-Ali
2 Berger, Thomas K.
2 Borzì, Alfio
2 Bullo, Francesco
2 Celledoni, Elena
2 Chakrabarti, Raj
2 Chehab, Jean-Paul
2 Chen, Xiaoming
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.
2 Faybusovich, Leonid E.
2 Ferrer, Josep
2 Fullmer, Daniel
...and 731 more Authors
all top 5

Cited in 156 Serials

85 Linear Algebra and its Applications
57 Automatica
57 Systems & Control Letters
15 International Journal of Control
15 MCSS. Mathematics of Control, Signals, and Systems
10 Journal of Computational and Applied Mathematics
10 International Journal of Robust and Nonlinear Control
9 Applied Mathematics and Computation
9 SIAM Journal on Control and Optimization
9 European Journal of Control
8 Journal of the Franklin Institute
8 Journal of Optimization Theory and Applications
7 Linear and Multilinear Algebra
7 Journal of Symbolic Computation
7 Journal of Global Optimization
6 Journal of Mathematical Physics
6 Acta Applicandae Mathematicae
6 SIAM Journal on Optimization
4 Numerical Algorithms
4 Mathematical Programming. Series A. Series B
4 Foundations of Computational Mathematics
3 Kybernetika
3 Topology and its Applications
3 Japan Journal of Industrial and Applied Mathematics
3 Mathematical Problems in Engineering
3 GAMM-Mitteilungen
3 Nonlinear Analysis. Hybrid Systems
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 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 Applied Numerical Mathematics
2 Optimization
2 Journal of Complexity
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 Optimization Letters
2 Numerical Algebra, Control and Optimization
1 Communications in Algebra
1 Computers & Mathematics with Applications
1 Communications in Mathematical Physics
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 Applied Mathematics and Optimization
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 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 Mathematical and Computer Modelling
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 56 more Serials
all top 5

Cited in 50 Fields

275 Systems theory; control (93-XX)
104 Linear and multilinear algebra; matrix theory (15-XX)
90 Numerical analysis (65-XX)
81 Operations research, mathematical programming (90-XX)
43 Quantum theory (81-XX)
39 Calculus of variations and optimal control; optimization (49-XX)
39 Computer science (68-XX)
30 Dynamical systems and ergodic theory (37-XX)
29 Algebraic geometry (14-XX)
29 Ordinary differential equations (34-XX)
26 Operator theory (47-XX)
16 Differential geometry (53-XX)
15 Information and communication theory, circuits (94-XX)
12 Global analysis, analysis on manifolds (58-XX)
12 Probability theory and stochastic processes (60-XX)
11 Number theory (11-XX)
11 Topological groups, Lie groups (22-XX)
9 Combinatorics (05-XX)
9 Commutative algebra (13-XX)
8 Statistics (62-XX)
7 Partial differential equations (35-XX)
6 Associative rings and algebras (16-XX)
6 Functional analysis (46-XX)
5 Field theory and polynomials (12-XX)
5 Nonassociative rings and algebras (17-XX)
5 Functions of a complex variable (30-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Algebraic topology (55-XX)
5 Biology and other natural sciences (92-XX)
4 Group theory and generalizations (20-XX)
4 Manifolds and cell complexes (57-XX)
4 Optics, electromagnetic theory (78-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Difference and functional equations (39-XX)
3 Approximations and expansions (41-XX)
3 Statistical mechanics, structure of matter (82-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 Category theory; homological algebra (18-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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