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Mahony, Robert E.

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Author ID: mahony.robert-e Recent zbMATH articles by "Mahony, Robert E."
Published as: Mahony, R.; Mahony, R. E.; Mahony, Robert; Mahony, Robert E.
External Links: ORCID
Documents Indexed: 43 Publications since 1994, including 1 Book

Publications by Year

Citations contained in zbMATH

33 Publications have been cited 694 times in 575 Documents Cited by Year
Optimization algorithms on matrix manifolds. Zbl 1147.65043
Absil, P.-A.; Mahony, R.; Sepulchre, R.
347
2008
Convergence of the iterates of descent methods for analytic cost functions. Zbl 1092.90036
Absil, P.-A.; Mahony, R.; Andrews, B.
68
2005
Riemannian geometry of Grassmann manifolds with a view on algorithmic computation. Zbl 1052.65048
Absil, P.-A.; Mahony, R.; Sepulchre, R.
45
2004
Nonlinear complementary filters on the special orthogonal group. Zbl 1367.93652
Mahony, Robert; Hamel, Tarek; Pflimlin, Jean-Michel
34
2008
An extrinsic look at the Riemannian Hessian. Zbl 1323.53014
Absil, P.-A.; Mahony, Robert; Trumpf, Jochen
23
2013
Robust trajectory tracking for a scale model autonomous helicopter. Zbl 1057.93040
Mahony, Robert; Hamel, Tarek
16
2004
A Grassmann–Rayleigh quotient iteration for computing invariant subspaces. Zbl 0995.65037
Absil, P.-A.; Mahony, R.; Sepulchre, R.; Van Dooren, P.
16
2002
The constrained Newton method on a Lie group and the symmetric eigenvalue problem. Zbl 0864.65032
Mahony, R. E.
14
1996
Gradient-like observers for invariant dynamics on a Lie group. Zbl 1368.93050
Lageman, Christian; Trumpf, Jochen; Mahony, Robert
12
2010
Cubically convergent iterations for invariant subspace computation. Zbl 1075.65049
Absil, P.-A.; Sepulchre, R.; Van Dooren, P.; Mahony, R.
11
2004
The geometry of weighted low-rank approximations. Zbl 1369.94221
Manton, Jonathan H.; Mahony, Robert; Hua, Yingbo
10
2003
Numerical gradient algorithms for eigenvalue and singular value calculations. Zbl 0808.65031
Moore, John B.; Mahony, R. E.; Helmke, Uwe
10
1994
Image based visual servo control for a class of aerial robotic systems. Zbl 1129.93459
Hamel, Tarek; Mahony, Robert
8
2007
Lumpable hidden Markov models – model reduction and reduced complexity filtering. Zbl 0991.93114
White, Langford B.; Mahony, Robert; Brushe, Gary D.
8
2000
Observers for invariant systems on Lie groups with biased input measurements and homogeneous outputs. Zbl 1378.93024
Khosravian, Alireza; Trumpf, Jochen; Mahony, Robert; Lageman, Christian
7
2015
Minimum-energy filtering for attitude estimation. Zbl 1369.93608
Zamani, Mohammad; Trumpf, Jochen; Mahony, Robert
7
2013
Output feedback observation and control for visual servoing of VTOL UAVs. Zbl 1215.93099
Le Bras, Florent; Hamel, Tarek; Mahony, Robert; Treil, Aurélie
7
2011
Analysis of non-linear attitude observers for time-varying reference measurements. Zbl 1369.93542
Trumpf, Jochen; Mahony, Robert; Hamel, Tarek; Lageman, Christian
6
2012
The geometry of the Newton method on non-compact Lie groups. Zbl 1019.22005
Mahony, Robert; Manton, Jonathan H.
6
2002
Second-order-optimal minimum-energy filters on Lie groups. Zbl 1359.93471
Saccon, Alessandro; Trumpf, Jochen; Mahony, Robert; Aguiar, A. Pedro
5
2016
State estimation for invariant systems on Lie groups with delayed output measurements. Zbl 1334.93167
Khosravian, Alireza; Trumpf, Jochen; Mahony, Robert; Hamel, Tarek
5
2016
A soft output hybrid algorithm for ML/MAP sequence estimation. Zbl 0932.94007
Brushe, Gary D.; Mahony, Robert E.; Moore, John B.
4
1998
Output dead beat control for a class of planar polynomial systems. Zbl 0910.93015
Nešić, Dragan; Mareels, Iven M. Y.; Bastin, G.; Mahony, R.
4
1998
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
Output stabilization of square nonlinear systems. Zbl 0882.93070
Mahony, Robert; Mareels, Iven; Bastin, Georges; Campion, Guy
3
1997
Nonlinear complementary filters on the special linear group. Zbl 1253.93129
Mahony, Robert; Hamel, Tarek; Morin, Pascal; Malis, Ezio
2
2012
Near-optimal deterministic filtering on the rotation group. Zbl 1368.93735
Zamani, Mohammad; Trumpf, Jochen; Mahony, Robert
2
2011
The continuous-time Rayleigh quotient flow on the sphere. Zbl 1030.65025
Mahony, R.; Absil, P.-A.
2
2003
The role of symmetry in rigidity analysis: a tool for network localization and formation control. Zbl 1395.93070
Stacey, Geoff; Mahony, Robert
1
2018
A passivity-based approach to formation control using partial measurements of relative position. Zbl 1359.93234
Stacey, Geoff; Mahony, Robert
1
2016
Identification of linear time-varying systems using a modified least-squares algorithm. Zbl 0987.93018
Lozano, Rogelio; Dimogianopoulos, Dimitrios; Mahony, Robert
1
2000
A dynamical systems analysis of semidefinite programming with application to quadratic optimization with pure quadratic equality constraints. Zbl 0945.90036
Orsi, R. J.; Mahony, R. E.; Moore, J. B.
1
1999
The role of symmetry in rigidity analysis: a tool for network localization and formation control. Zbl 1395.93070
Stacey, Geoff; Mahony, Robert
1
2018
Second-order-optimal minimum-energy filters on Lie groups. Zbl 1359.93471
Saccon, Alessandro; Trumpf, Jochen; Mahony, Robert; Aguiar, A. Pedro
5
2016
State estimation for invariant systems on Lie groups with delayed output measurements. Zbl 1334.93167
Khosravian, Alireza; Trumpf, Jochen; Mahony, Robert; Hamel, Tarek
5
2016
A passivity-based approach to formation control using partial measurements of relative position. Zbl 1359.93234
Stacey, Geoff; Mahony, Robert
1
2016
Observers for invariant systems on Lie groups with biased input measurements and homogeneous outputs. Zbl 1378.93024
Khosravian, Alireza; Trumpf, Jochen; Mahony, Robert; Lageman, Christian
7
2015
An extrinsic look at the Riemannian Hessian. Zbl 1323.53014
Absil, P.-A.; Mahony, Robert; Trumpf, Jochen
23
2013
Minimum-energy filtering for attitude estimation. Zbl 1369.93608
Zamani, Mohammad; Trumpf, Jochen; Mahony, Robert
7
2013
Analysis of non-linear attitude observers for time-varying reference measurements. Zbl 1369.93542
Trumpf, Jochen; Mahony, Robert; Hamel, Tarek; Lageman, Christian
6
2012
Nonlinear complementary filters on the special linear group. Zbl 1253.93129
Mahony, Robert; Hamel, Tarek; Morin, Pascal; Malis, Ezio
2
2012
Output feedback observation and control for visual servoing of VTOL UAVs. Zbl 1215.93099
Le Bras, Florent; Hamel, Tarek; Mahony, Robert; Treil, Aurélie
7
2011
Near-optimal deterministic filtering on the rotation group. Zbl 1368.93735
Zamani, Mohammad; Trumpf, Jochen; Mahony, Robert
2
2011
Gradient-like observers for invariant dynamics on a Lie group. Zbl 1368.93050
Lageman, Christian; Trumpf, Jochen; Mahony, Robert
12
2010
Optimization algorithms on matrix manifolds. Zbl 1147.65043
Absil, P.-A.; Mahony, R.; Sepulchre, R.
347
2008
Nonlinear complementary filters on the special orthogonal group. Zbl 1367.93652
Mahony, Robert; Hamel, Tarek; Pflimlin, Jean-Michel
34
2008
Image based visual servo control for a class of aerial robotic systems. Zbl 1129.93459
Hamel, Tarek; Mahony, Robert
8
2007
Convergence of the iterates of descent methods for analytic cost functions. Zbl 1092.90036
Absil, P.-A.; Mahony, R.; Andrews, B.
68
2005
Riemannian geometry of Grassmann manifolds with a view on algorithmic computation. Zbl 1052.65048
Absil, P.-A.; Mahony, R.; Sepulchre, R.
45
2004
Robust trajectory tracking for a scale model autonomous helicopter. Zbl 1057.93040
Mahony, Robert; Hamel, Tarek
16
2004
Cubically convergent iterations for invariant subspace computation. Zbl 1075.65049
Absil, P.-A.; Sepulchre, R.; Van Dooren, P.; Mahony, R.
11
2004
The geometry of weighted low-rank approximations. Zbl 1369.94221
Manton, Jonathan H.; Mahony, Robert; Hua, Yingbo
10
2003
The continuous-time Rayleigh quotient flow on the sphere. Zbl 1030.65025
Mahony, R.; Absil, P.-A.
2
2003
A Grassmann–Rayleigh quotient iteration for computing invariant subspaces. Zbl 0995.65037
Absil, P.-A.; Mahony, R.; Sepulchre, R.; Van Dooren, P.
16
2002
The geometry of the Newton method on non-compact Lie groups. Zbl 1019.22005
Mahony, Robert; Manton, Jonathan H.
6
2002
Lumpable hidden Markov models – model reduction and reduced complexity filtering. Zbl 0991.93114
White, Langford B.; Mahony, Robert; Brushe, Gary D.
8
2000
Identification of linear time-varying systems using a modified least-squares algorithm. Zbl 0987.93018
Lozano, Rogelio; Dimogianopoulos, Dimitrios; Mahony, Robert
1
2000
A dynamical systems analysis of semidefinite programming with application to quadratic optimization with pure quadratic equality constraints. Zbl 0945.90036
Orsi, R. J.; Mahony, R. E.; Moore, J. B.
1
1999
A soft output hybrid algorithm for ML/MAP sequence estimation. Zbl 0932.94007
Brushe, Gary D.; Mahony, Robert E.; Moore, John B.
4
1998
Output dead beat control for a class of planar polynomial systems. Zbl 0910.93015
Nešić, Dragan; Mareels, Iven M. Y.; Bastin, G.; Mahony, R.
4
1998
Output stabilization of square nonlinear systems. Zbl 0882.93070
Mahony, Robert; Mareels, Iven; Bastin, Georges; Campion, Guy
3
1997
The constrained Newton method on a Lie group and the symmetric eigenvalue problem. Zbl 0864.65032
Mahony, R. E.
14
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
Numerical gradient algorithms for eigenvalue and singular value calculations. Zbl 0808.65031
Moore, John B.; Mahony, R. E.; Helmke, Uwe
10
1994
all top 5

Cited by 1,030 Authors

24 Absil, Pierre-Antoine
10 Gallivan, Kyle A.
9 Hamel, Tarek
9 Huang, Wen
9 Li, Chong
9 Mahony, Robert E.
9 Silvestre, Carlos J.
9 Wang, Jinhua
9 Wen, Zaiwen
9 Yao, Jen-Chih
8 Oliveira, Paulo Jorge
7 Bai, Zhengjian
7 Jiang, Yaolin
7 Steidl, Gabriele
7 Uschmajew, André
7 Zhang, Lei-Hong
7 Zhao, Zhi
6 Batista, Pedro
6 Bergmann, Ronny
6 Birtea, Petre
6 Comănescu, Dan
6 Ferreira, Orizon Pereira
6 Jin, Xiaoqing
6 Oseledets, Ivan V.
6 Sato, Hiroyuki
6 Trendafilov, Nickolay T.
6 Xu, Kangli
5 Bolte, Jérôme
5 Fadili, Jalal M.
5 Grohs, Philipp
5 Leok, Melvin
5 Liao, Li-Zhi
5 Markovsky, Ivan
5 Oliveira, Paulo Roberto
5 Schneider, Reinhold
5 Schnörr, Christoph
5 Schulz, Volker H.
5 Trumpf, Jochen
5 Usevich, Konstantin
5 Vandereycken, Bart
5 Welker, Kathrin
5 Yuan, Ya-xiang
5 Zimmermann, Ralf
4 Amat, Sergio P.
4 Argyros, Ioannis Konstantinos
4 Asl, Hamed Jabbari
4 Becker, Florian
4 Boumal, Nicolas
4 Busquier, Sonia
4 Comon, Pierre
4 da Cruz Neto, João Xavier
4 Gräf, Manuel
4 Hilout, Saïd
4 Hu, Jiang
4 Kressner, Daniel
4 Liang, Jingwei
4 Liu, Xin
4 Mishra, Bamdev
4 Morin, Pascal
4 Persch, Johannes
4 Peyré, Gabriel
4 Plaza, Sergio
4 Qi, Liqun
4 Sander, Oliver
4 Sepulchre, Rodolphe J.
4 Siebenborn, Martin
4 Wang, Xiangmei
4 Yao, Tengteng
4 Zhu, Xiaojing
3 Alauzet, Frédéric
3 Bonnabel, Silvère
3 Borkar, Vivek Shripad
3 Castro, Rita
3 Caşu, Ioan
3 Chen, Yannan
3 Daniilidis, Aris
3 Easter Selvan, S.
3 Ehler, Martin
3 Eigel, Martin
3 Fernández-Durán, Juan José
3 Fossen, Thor I.
3 Gregorio-Domínguez, María Mercedes
3 Gupta, Rohit K.
3 Hartley, Richard I.
3 Hosseini, Reshad
3 Hosseini, Seyedehsomayeh
3 Hu, ShengLong
3 Jiang, Bo
3 Johansen, Tor Arne
3 Kleinsteuber, Martin
3 Lai, Rongjie
3 Lenzen, Frank
3 Li, Jianze
3 Li, Rencang
3 Lim, Lek-Heng
3 Louzeiro, Mauricio Silva
3 Ng, Michael Kwok-Po
3 Nouy, Anthony
3 Prudente, Leandro F.
3 Rakhuba, Maxim V.
...and 930 more Authors
all top 5

Cited in 172 Serials

40 Automatica
34 SIAM Journal on Optimization
24 Journal of Optimization Theory and Applications
23 SIAM Journal on Matrix Analysis and Applications
21 SIAM Journal on Scientific Computing
20 Linear Algebra and its Applications
15 Journal of Computational and Applied Mathematics
14 Systems & Control Letters
13 Mathematical Programming. Series A. Series B
12 Journal of Mathematical Imaging and Vision
10 International Journal of Control
9 Foundations of Computational Mathematics
8 Numerische Mathematik
8 International Journal of Robust and Nonlinear Control
8 SIAM Journal on Imaging Sciences
7 Journal of Computational Physics
7 Journal of the Franklin Institute
7 BIT
7 SIAM Journal on Numerical Analysis
7 Computational Optimization and Applications
6 Applied Mathematics and Computation
6 SIAM Journal on Control and Optimization
6 Journal of Scientific Computing
6 Optimization Letters
5 Neural Computation
5 Numerical Algorithms
5 Computational Statistics and Data Analysis
5 International Journal of Computer Vision
5 Asian Journal of Control
4 Journal of Mathematical Analysis and Applications
4 Applied Numerical Mathematics
4 MCSS. Mathematics of Control, Signals, and Systems
4 Machine Learning
4 Nonlinear Dynamics
4 Journal of Machine Learning Research (JMLR)
3 Psychometrika
3 Mathematics of Computation
3 Optimization
3 Applied Mathematics Letters
3 Journal of Global Optimization
3 Computational Statistics
3 Journal of Nonlinear Science
3 The Journal of Fourier Analysis and Applications
3 Abstract and Applied Analysis
3 Set-Valued and Variational Analysis
3 Science China. Mathematics
3 Statistics and Computing
3 International Journal of Systems Science. Principles and Applications of Systems and Integration
2 Inverse Problems
2 Journal of Mathematical Physics
2 Journal of Geometry and Physics
2 The Annals of Statistics
2 Monatshefte für Mathematik
2 Numerical Functional Analysis and Optimization
2 Journal of Complexity
2 Constructive Approximation
2 Japan Journal of Industrial and Applied Mathematics
2 Automation and Remote Control
2 Journal of Statistical Computation and Simulation
2 Stochastic Processes and their Applications
2 Numerical Linear Algebra with Applications
2 Computational and Applied Mathematics
2 Advances in Computational Mathematics
2 Mathematical Problems in Engineering
2 European Journal of Control
2 Optimization Methods & Software
2 Computational Methods in Applied Mathematics
2 Multiscale Modeling & Simulation
2 Electronic Journal of Statistics
2 SIAM/ASA Journal on Uncertainty Quantification
1 Bulletin of the Australian Mathematical Society
1 The Canadian Journal of Statistics
1 Computer Methods in Applied Mechanics and Engineering
1 Computer Physics Communications
1 International Journal of Systems Science
1 Journal of Fluid Mechanics
1 Linear and Multilinear Algebra
1 Nonlinearity
1 Bulletin of Mathematical Biology
1 Advances in Mathematics
1 Annals of the Institute of Statistical Mathematics
1 Archiv der Mathematik
1 Information Sciences
1 International Journal of Circuit Theory and Applications
1 International Journal for Numerical Methods in Engineering
1 Journal of the American Statistical Association
1 Journal of Applied Probability
1 Journal of Functional Analysis
1 Kybernetika
1 Mathematics and Computers in Simulation
1 Mathematics of Operations Research
1 Metron
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Transactions of the American Mathematical Society
1 Topology and its Applications
1 Statistics & Probability Letters
1 Operations Research Letters
1 Computer Aided Geometric Design
1 Journal of Symbolic Computation
...and 72 more Serials
all top 5

Cited in 48 Fields

267 Numerical analysis (65-XX)
171 Operations research, mathematical programming (90-XX)
118 Systems theory; control (93-XX)
100 Calculus of variations and optimal control; optimization (49-XX)
90 Linear and multilinear algebra; matrix theory (15-XX)
55 Differential geometry (53-XX)
54 Statistics (62-XX)
51 Computer science (68-XX)
34 Global analysis, analysis on manifolds (58-XX)
30 Information and communication theory, circuits (94-XX)
24 Ordinary differential equations (34-XX)
24 Dynamical systems and ergodic theory (37-XX)
24 Mechanics of particles and systems (70-XX)
21 Operator theory (47-XX)
20 Partial differential equations (35-XX)
20 Probability theory and stochastic processes (60-XX)
15 Algebraic geometry (14-XX)
11 Combinatorics (05-XX)
11 Real functions (26-XX)
9 Approximations and expansions (41-XX)
9 Biology and other natural sciences (92-XX)
8 Topological groups, Lie groups (22-XX)
8 Geometry (51-XX)
7 Quantum theory (81-XX)
7 Statistical mechanics, structure of matter (82-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Functional analysis (46-XX)
5 Manifolds and cell complexes (57-XX)
5 Fluid mechanics (76-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Mechanics of deformable solids (74-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Special functions (33-XX)
3 Difference and functional equations (39-XX)
3 Convex and discrete geometry (52-XX)
3 Algebraic topology (55-XX)
2 Mathematical logic and foundations (03-XX)
2 Optics, electromagnetic theory (78-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Number theory (11-XX)
1 Commutative algebra (13-XX)
1 Nonassociative rings and algebras (17-XX)
1 Functions of a complex variable (30-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 General topology (54-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year