Fátima Silva Leite
Name: Fátima Silva Leite, Ph.D.
Position: Full Professor
Website: http://www.mat.uc.pt/~fleite
Email: fleite@mat.uc.pt
Supervisor of:
Maria de Fátima Alves de Pina, External Collaborator
Journals
L. Machado,
Knut Huper, Krzysztof Krakowski, F. Silva Leite,
Spherical triangular configurations with invariant geometric mean, Linear Algebra and its Applications, 2024
https://doi.org/10.1016/j.laa.2024.06.017
https://doi.org/10.1016/j.laa.2024.06.017
Conferences
L. Machado,
Margarida Camarinha, F. Silva Leite,
Swelling effect along Riemannian polynomials on SPD manifolds, "CONTROLO 2024: Proceedings of the 16th APCA International Conference on Automatic Control and Soft Computing, Porto, Portugal, 2024
https://link.springer.com/book/9783031817236
https://link.springer.com/book/9783031817236
Journals
M. Schlarb, K. Huper, I. Markina, F. Silva Leite,
Rolling Stiefel Manifolds Equipped with Alpha-Metrics, Mathematics, 11 (21), 4540, 2023
https://doi.org/10.3390/math11214540
https://doi.org/10.3390/math11214540
K. Huper, F. Silva Leite,
Endpoint geodesic formulas on Grassmannians applied to interpolation problems, Mathematics, 11 (16), 3545, 2023
https://doi.org/10.3390/math11163545
https://doi.org/10.3390/math11163545
V. Jurdjevic, I. Markina, F. Silva Leite,
Symmetric spaces rolling on flat spaces, Journal of Geometric Analysis , Vol. 33, Article N. 94, 2023
https://doi.org/10.1007/s12220-022-01179-5
https://doi.org/10.1007/s12220-022-01179-5
M. Camarinha, F. Silva Leite,
P. Crouch,
High-Order Splines on Riemannian Manifolds, In: Proceedings of the Steklov Institute of Mathematics , Vol. 321, pp. 158–178, Pleiades Publishing, Ltd., 2023
https://doi.org/10.1134/S0081543823020128
https://doi.org/10.1134/S0081543823020128
Book Sections
Camarinha, L. Machado,
F. Silva Leite,
K-Splines on SPD Manifolds. In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information, GSI 2023. Lecture Notes in Computer Science, vol 14072, Springer, Cham, 2023
https://doi.org/10.1007/978-3-031-38299-4_64
https://doi.org/10.1007/978-3-031-38299-4_64
Conferences
M. Camarinha, L. Machado,
F. Silva Leite,
K-splines on SPD manifolds, In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information. GSI 2023. Lecture Notes in Computer Science, vol 14072, Springer, Cham, 2023
https://doi.org/10.1007/978-3-031-38299-4_64
https://doi.org/10.1007/978-3-031-38299-4_64
M. Camarinha, L. Machado,
F. Silva Leite,
Generalizing Euclidean Splines to SPD manifolds (Best Poster Award), XXXI International Fall Workshop on Geometry and Physics, 2023
Journals
, F. Silva Leite,
Pure rolling motion of hyperquadrics in pseudo-Euclidean spaces, Journal of Geometric Mechanics, 14(1), 105-129 , 2022
https://doi.org/10.3934/jgm.2021033
https://doi.org/10.3934/jgm.2021033
M. Camarinha, F. Silva Leite,
,
Riemannian cubics close to geodesics at the boundaries, Journal of Geometric Mechanics, 14(4), 545-558 , 2022
https://doi.org/10.3934/jgm.2022003
https://doi.org/10.3934/jgm.2022003
Conferences
L. Machado,
F. Silva Leite,
Best fitting geodesic going through the Riemannian mean, In: Brito Palma, L., Neves-Silva, R., Gomes, L. (eds) CONTROLO 2022. Lecture Notes in Electrical Engineering, vol 930, Springer, Cham, 2022
https://doi.org/10.1007/978-3-031-10047-5_35
https://doi.org/10.1007/978-3-031-10047-5_35
Journals
H. Huper, F. Silva Leite,
I. Markina,
A Lagrangian approach to extremal curves on Stiefel manifolds, Journal of Geometric Mechanics , 13 (1), 55-72 , 2021
https://doi.org/10.3934/jgm.2020031
https://doi.org/10.3934/jgm.2020031
K. Krakowski, L. Machado,
F. Silva Leite,
A unifying approach for rolling symmetric spaces, Journal of Geometric Mechanics , 13(1), 145-166 , 2021
https://doi.org/10.3934/jgm.2020016
https://doi.org/10.3934/jgm.2020016
Journals
V. Jurdjevic,
I. Markina,
F. Silva Leite,
Extremal curves on Stiefel and Grassmann manifolds, The Journal of Geometric Analysis, Volume 30, 3948–3978 , 2020
https://doi.org/10.1007/s12220-019-00223-1
https://doi.org/10.1007/s12220-019-00223-1
B. Lima, F. Silva Leite,
Uma proposta de modelagem matemática aplicada a prevenção de possíveis surtos de cólera, Brazilian Electronic Journal of Mathematics, 1(1), 105-117, 2020
https://doi.org/10.14393/BEJOM-v1-n1-2020-50097
https://doi.org/10.14393/BEJOM-v1-n1-2020-50097
Conferences
K. Hü, I. Markina,
F. Silva Leite,
An extrinsic approach to sub-Riemannian geodesics on the orthogonal group, Proc. International Conference on Automatic Control and Soft Computing (CONTROLO'2020), Volume 695, pp. 274-283, Springer Lecture Notes in Electrical Engineering, Bragança, Portugal, 2020
https://doi.org/10.1007/978-3-030-58653-9_26
https://doi.org/10.1007/978-3-030-58653-9_26
L. Machado,
F. Silva Leite,
E. Batzies,
Geometric algorithm to generate interpolating splines on Grassmann and Stiefel manifolds (Best Scientific Paper Award), Proc. International Conference on Automatic Control and Soft Computing Computing (CONTROLO'2020), Volume 695, pp. 180-189, Springer Lecture Notes in Electrical Engineering, 2020
https://doi.org/10.1007/978-3-030-58653-9_17
https://doi.org/10.1007/978-3-030-58653-9_17
M. Camarinha, F. Silva Leite,
Existence and uniqueness for Riemannian cubics, Proc. International Conference on Automatic Control and Soft Computing Computing (CONTROLO'2020), Volume 695, pp. 322-331, Springer Lecture Notes in Electrical Engineering, Bragança, Portugal, 2020
https://doi.org/10.1007/978-3-030-58653-9_31
https://doi.org/10.1007/978-3-030-58653-9_31
F. Pina, F. Silva Leite,
Cubic splines in the Grassmann manifold, Proc. International Conference on Automatic Control and Soft Computing Computing (CONTROLO'2020), Volume 695, pp. 243-252, Springer Lecture Notes in Electrical Engineering, 2020
https://doi.org/10.1007/978-3-030-58653-9_23
https://doi.org/10.1007/978-3-030-58653-9_23
Book Sections
F. Rüppel,
F. Silva Leite,
Complete Nonholonomy of the Rolling Ellipsoid - A Constructive Proof, In Modeling, Dynamics, Optimization and Bioeconomics III, A. Pinto, D. Zilberman (Eds.), Chapter 19, Springer, 2018
https://doi.org/10.1007/978-3-319-74086-7_19
https://doi.org/10.1007/978-3-319-74086-7_19
Conferences
F. Pina,
F. Silva Leite,
Controllability of the kinematic equations describing pure rolling of Grassmannians, In Proc. International Conference on Automatic Control and Soft Computing, 1-6, IEEE Xplorer, Açores - Portugal, 2018
https://doi.org/10.1109/CONTROLO.2018.8514267
https://doi.org/10.1109/CONTROLO.2018.8514267
K. Krakowski,
F. Silva Leite,
Controllability of rolling symmetric spaces, In Proc. International Conference on Automatic Control and Soft Computing, IEEE Xplorer, Açores - Portugal, 2018
https://doi.org/10.1109/CONTROLO.2018.8514294
https://doi.org/10.1109/CONTROLO.2018.8514294
V. Jurdjevic,
F. Silva Leite,
K. Krakowski,
The geometry of quasi-geodesics on Stiefel manifolds, In Proc. International Conference on Automatic Control and Soft Computing, IEEE Xplorer , Açores - Portugal, 2018
https://doi.org/10.1109/CONTROLO.2018.8514270
https://doi.org/10.1109/CONTROLO.2018.8514270
L. Machado,
F. Silva Leite,
M. Monteiro,
Path planning trajectories in fluid environments, In Proc. International Conference on Automatic Control and Soft Computing, 219 - 223, IEEE Xplorer, Açores - Portugal, 2018
https://doi.org/10.1109/CONTROLO.2018.8514278
https://doi.org/10.1109/CONTROLO.2018.8514278
A. Marques,
F. Silva Leite,
Constructive proof for complete controllability of a rolling pseudo-hyperbolic space, In Proc. International Conference on Automatic Control and Soft Computing, IEEE Xplorer , Açores - Portugal, 2018
https://doi.org/10.1109/CONTROLO.2018.8514267
https://doi.org/10.1109/CONTROLO.2018.8514267
J. Batista,
K. Krakowski,
F. Silva Leite,
Exploring Quasi-Geodesics on Stiefel Manifolds in Order to Smooth Interpolate between Domains, In Proceedings of IEEE Conference on Decision and Control (CDC 2017), Melbourne - Australia, 2018
Journals
K. Krakowski,
L. Machado,
F. Silva Leite,
J. Batista,
A modified Casteljau algorithm to solve interpolation problems on Stiefel manifolds, Journal of Computational and Applied Mathematics, Volume 311, Pages 84–99, 2017
http://dx.doi.org/10.1016/j.cam.2016.07.018
http://dx.doi.org/10.1016/j.cam.2016.07.018
Conferences
J. Rivero,
B. Ribeiro,
N. Chen,
F. Silva Leite,
A Grassmannian Approach to Zero-Shot Learning for Network Intrusion Detection, In Proceedings of The 24th International Conference on Neural Information Processing (ICONIP 2017), pp. 565–575, Springer International Publishing AG 2017, Guangzhou - China, 2017
http://dx.doi.org/10.1007/978-3-319-70087-8_59
http://dx.doi.org/10.1007/978-3-319-70087-8_59
Journals
I. Markina,
F. Silva Leite,
Introduction to the intrinsic rolling with indefinite metric, Communications in Analysis and Geometry, 2016
K. Krakowski,
F. Silva Leite,
Geometry of the rolling ellipsoid, Kybernetika, Volume 52, no. 2, Pages 209-223, 2016
http://dx.doi.org/10.14736/kyb-2014-4-0544
http://dx.doi.org/10.14736/kyb-2014-4-0544
Conferences
J. Batista,
K. Krakowski,
L. Machado,
P. Dias Martins,
F. Silva Leite,
Multi-source domain adaptation using C1-smooth subspaces interpolation, In 2016 Proceedings of IEEE International Conference on Image Processing (ICIP), Phoenix, USA, 2016
F. Silva Leite,
J. Batista,
K. Krakowski,
A. Carvalho,
T. Cruz,
E. Domingues,
A. Lizardo,
G. Saraiva,
Wheels for Staircases, Controlo 2016 – 12th Portuguese Conference on Automatic Control, Guimarães, Portugal, 2016
Journals
E. Batzies,
K. Hüper,
L. Machado,
F. Silva Leite,
Geometric mean and geodesic regression on Grassmannians, Linear Algebra and its Applications, Volume 466, Pages 83-101, 2015
http://dx.doi.org/10.1016/j.laa.2014.10.003
http://dx.doi.org/10.1016/j.laa.2014.10.003
K. Krakowski,
L. Machado,
F. Silva Leite,
J. Batista,
Solving Interpolation Problems on Stiefel Manifolds using Quasi-Geodesics, Pré-Publicações do Departamento de Matemática, 15-36, Universidade de Coimbra, 2015
I. Yudin,
F. Silva Leite,
Algebraic integrability for minimum energy curves, Kybernetika, Volume 51, no. 2, pp 321-334, 2015
http://doi.org/10.14736/kyb-2015-2-0321
http://doi.org/10.14736/kyb-2015-2-0321
E. Batzies,
K. Hüper,
L. Machado,
F. Silva Leite,
Geometric mean and geodesic regression on Grassmannians, Linear Algebra and its Applications, Volume 466, Pages 83-101, 2015
http://dx.doi.org/10.1016/j.laa.2014.10.003
http://dx.doi.org/10.1016/j.laa.2014.10.003
Book Sections
F. Silva Leite,
F. Louro,
Sphere rolling on sphere - alternative approach to kinematics and constructive proof of controllability, In CIM Series in Mathematical Sciences I - Dynamics, Games and Science, J.-P., Jeltsch, R., Pinto, A.A., Viana, M. (Eds.), Chapter 19, Springer, Bourguignon, 2015
L. Machado,
F. Pina,
F. Silva Leite,
Rolling maps for the Essential Manifold, In CIM Series in Mathematical Sciences I - Dynamics, Games and Science, J.-P., Jeltsch, R., Pinto, A.A., Viana, M. (Eds.), Chapter 21, Springer, Bourguignon, 2015
Conferences
K. Krakowski,
L. Machado,
F. Silva Leite,
Rolling Symmetric Spaces, Proc. 2nd Conference on Geometric Science of Information (GSI'15) (accepted for publication), Ecole Polytechnique in Paris-Saclay (France), 2015
Journals
A. Krzysztof,
K. Krakowski,
F. Silva Leite,
An algorithm based on rolling to generate interpolating curves on ellipsoids, Kybernetika, Vol 50, N. 4, pp 544-562., 2014
http://www.kybernetika.cz/content/2014/4/544
http://www.kybernetika.cz/content/2014/4/544
Conferences
A. Marques,
F. Silva Leite,
Controllability for the constrained rolling motion of symplectic groups, Proc. CONTROLO 2014, In Lecture Notes in Electrical Engineering, Volume 321, pp 3-12, Springer, 2014
Conferences
L. Machado,
F. Silva Leite,
Interpolation and polynomial fitting in the SPD manifold, Proc. IEEE-CDC 2013, Florence – Italy, 2013
L. Machado,
F. Silva Leite,
Approximating SPD matrices by geodesics. , Conference Papers in Mathematics, Volume 2013, Article ID 243621, 9 pages (CVIM13), 2013
L. Machado,
F. Silva Leite,
Approximating Sets of Symmetric and Positive-Definite Matrices by Geodesics, Conference Papers in Mathematics , vol. 2013, Article ID 425608, 7 pages, 2013
http://dx.doi.org/10.1155/2013/425608
http://dx.doi.org/10.1155/2013/425608
L. Machado,
F. Silva Leite,
K. Hüper,
Generalized Least Squares Problems on Riemannian Manifolds, Proc. Workshop on Robotics and Mathematics, Coimbra, Portugal, 2013
K. Krakowski,
F. Silva Leite,
Smooth interpolation on ellipsoids via rolling motions, Proc. PhysCon2013, San Luis Potosí - México, 2013
R. C.,
P. Dias Martins,
J. Dos Santos Henriques,
F. Silva Leite,
J. Batista,
Rolling Riemannian Manifolds to Solve the Multi-class Classification Problem, CVPR 2013 IEEE Conference on Computer Vision and Pattern Recognition, Portland, Oregon, USA, 2013
Journals
M. Godoy,
E. Grong,
I. Markina,
F. Silva Leite,
An intrinsic formulation of the rolling manifolds problem, Journal of Dynamical and Control Systems, vol.18, n.2, p.181-214, 2012
Conferences
P. Crouch,
F. Silva Leite,
Rolling motions of pseudo-orthogonal groups, Proc. IEEE-CDC 2012, Hawai'i, USA, 2012
K. Krakowski,
F. Silva Leite,
Why controllability of rolling motions may fail, Proc. CONTROLO 2012, p.197-203, Madeira-Portugal, 2012
A. Marques,
F. Silva Leite,
Rolling a pseudohyperbolic space over the affine tangent space at a point, Proc. CONTROLO 2012, p.123-128, Madeira, Portugal, 2012
Book Sections
M. Godoy,
E. Grong,
F. Silva Leite,
I. Markina,
Rolling manifolds an intrinsic perspective, In Textos de Matemática, (J. Cardoso, K. Hüper, P. Saraiva, Eds.), vol.43, p.71-83, Departamento de Matemática da Universidade de Coimbra, 2011
K. Hüper,
K. Krakowski,
F. Silva Leite,
Rolling maps in a Riemannian framework, In Textos de Matemática, (J. Cardoso, K. Hüper, P. Saraiva, Eds.), vol.43, p.15-30, Departamento de Matemática da Universidade de Coimbra, 2011
S. Rodrigues,
N. Crasta,
A. Aguiar,
F. Silva Leite,
An exponential observer for systems on SE(3) with implicit outputs, Dynamics, Games and Science II, M.M. Peixoto et al. (eds.), Chapter 44, Springer Proceedings in Mathematics 2, Springer-Verlag Berlin Heidelberg, 2011
Conferences
A. Korolko,
F. Silva Leite,
Kinematics for rolling a Lorentzian sphere, Proc. IEEE-CDC-ECC 2011, p.6522-6528, Orlando, USA, 2011
Journals
L. Machado,
F. Silva Leite,
K. Krakowski,
Higher-order smoothing splines versus least squares problems on Riemannian manifolds, Journal of Dynamical and Control Systems, vol.16, n.1, p.121-148, 2010
http://dx.doi.org/10.1007/s10883-010-9080-1
http://dx.doi.org/10.1007/s10883-010-9080-1
J. Ribeiro Cardoso,
F. Silva Leite,
Exponentials of skew-symmetric matrices and logarithms of orthogonal matrices, Journal of Computational and Applied Mathematics, vol.233, n.11, p.2867-2875, 2010
Conferences
F. Silva Leite,
An overview of geometric nonlinear control through rolling motions, Proc. 9th Portuguese Conference on Automatic Control (CONTROLO'2010), Coimbra, Portugal, 2010
M. Godoy,
E. Grong,
I. Markina,
F. Silva Leite,
Intrinsic rolling of manifolds, Proc. 9th Portuguese Conference on Automatic Control (CONTROLO'2010), Coimbra, Portugal, 2010
K. Krakowski,
F. Silva Leite,
Rolling maps in Riemannian manifolds, Proc. 9th Portuguese Conference on Automatic Control (CONTROLO'2010), Coimbra, Portugal, 2010
S. Rodrigues,
N. Crasta,
A. Aguiar,
F. Silva Leite,
State estimation for systems on SE(3) with implicit outputs: An application to visual servoing, MTNS 2010 - Mathematical Theory of Networks and Systems, Budapest, Hungary, 2010
Book Sections
F. Silva Leite,
The geometry of rolling maps. In GEOMETRY AND PHYSICS , AIP Conference Proceedings, Volume: 1130 , Pages: 101-109, Etayo, F; Fioravanti, M; Santamaria, R., 2009
Journals
M. Kleinsteuber,
K. Hüper,
F. Silva Leite,
Rolling Stiefel manifolds, International Journal of Systems Science, vol.39, n.9, p.881–887, 2008
Book Sections
L. Labakhua,
U. J. Nunes,
R. Rodrigues,
F. Silva Leite,
Smooth trajectory planning for fully automated passengers vehicles: spline and clothoid based methods and its simulation, In: Informatics in Control Automation and Robotics, Lecture Notes in Electrical Engineering, vol.15, part II, p.169-182, 2008
Conferences
L. Machado,
F. Silva Leite,
K. Krakowski,
A Variational Approach for High Order Least Squares Problems on Riemannian Manifolds, Proc. 18th International Symposium on Mathematical Theory of Network and Systems, Virginia Tech, Blacksbourg, Virginia, USA, 2008
L. Machado,
F. Silva Leite,
K. Krakowski,
Riemannian Means as a Limiting Process, Proc. 8th Portuguese Conference on Automatic Control, University of Trás-os-Montes e Alto Douro, Portugal, 2008
Journals
K. Hüper,
F. Silva Leite,
On the geometry of rolling and interpolation curves on Sn, SO(n) and Graßmann manifolds, Journal of Dynamical and Control Systems, vol.13, n.4, p.467-502, 2007
Journals
L. Machado,
F. Silva Leite,
Fitting Smooth Paths on Riemannian Manifolds, International Journal of Applied Mathematics & Statistics, vol.43, n.J06, p.25-53, 2006
L. Machado,
F. Silva Leite,
K. Hüper,
Riemannian Means as Solutions of Variational Problems, LMS Journal of Computation and Mathematics, n.8, p.86-103, 2006
L. Machado,
F. Silva Leite,
K. Hüper,
Riemannian means as solutions of variational problems, LMS Journal of Computational Mathematics, n.9, p.86-103, 2006
J. Jakubiak,
R. Rodrigues,
F. Silva Leite,
A two-step algorithm of smooth spline generation on Riemannian manifolds, Journal of Computational and Applied Mathematics, vol.194, n.2, p.177-191, 2006
L. Machado,
F. Silva Leite,
Fitting smooth paths on Riemannian manifolds, International Journal of Applied Mathematics & Statistics, vol.4, n.J06 , p.25-53, 2006
J. Ribeiro Cardoso,
F. Silva Leite,
Padé and Gregory error estimates for the logarithm of block triangular matrices triangular matrices, Applied Numerical Mathematics, vol.56, n.2, p.253-267, 2006
Conferences
L. Labakhua,
U. J. Nunes,
R. Rodrigues,
F. Silva Leite,
Smooth Trajectory planning for fully-automated passenger vehicles: spline and clothoid based methods and its simulation, in ICINCO 2006 - Robotics and Automation, Setúbal, Portugal, 2006
L. Machado,
F. Silva Leite,
K. Hüper,
An Extension of the Classical Least Squares Problem to Non-Euclidean Spaces, Proc. 17th International Symposium on Mathematical Theory of Network and Systems, Kyoto, Japan, 2006
Journals
R. Rodrigues,
J. Jakubiak,
F. Silva Leite,
A new geometric algorithm to generate spline curves, LMS Journal of Computational Mathematics, n.8, p.251-266, 2005
Conferences
L. Labakhua,
U. J. Nunes,
R. Rodrigues,
F. Silva Leite,
Trajectory Planning Methods for Autonomous Car-Like Vehicles, in Proc. of the 12th Int. Symp. SINTES12, Craiova, Romania, 2005
Journals
A. Filipescu,
U. J. Nunes,
F. Silva Leite,
Discrete-time sliding-mode adaptive wheeled mobile robot control, Transactions on Automatic Control and Computer Science, vol.49 (63), n.1, p.211-216, 2004
A. Filipescu,
F. Silva Leite,
U. J. Nunes,
Discrete-Time Sliding-Mode WMR Trajectory Tracking Based on Parameter Identification, in Trans. on Automatic Control and Computer Science, vol.49(63), n.1, Scientific Bulletin of "Politehnica", Scientific Bulletin of "Politehnica", 2004
Conferences
A. Filipescu,
F. Silva Leite,
U. J. Nunes,
Robust Discrete-Time Adaptive Sliding Mode WMR Trajectory Tracking and Parameter Identification, in Proc. of the 12th International Symposium on Modeling, Simulation and System's Identification (SIMSIS-12), Galati, Romania, 2004
Journals
J. Ribeiro Cardoso,
F. Silva Leite,
J. Kenney,
Computing the square root and the logarithm of a real orthogonal matrix, Applied Numerical Mathematics, n.46, p.173-196, 2003
J. Ribeiro Cardoso,
F. Silva Leite,
The Moser-Veselov equation, Linear Algebra and its Applications, n.360, p.237-248, 2003
Journals
R. Rodrigues,
F. Silva Leite,
L-splines - a manifestation of optimal control, IMA Journal of Mathematical Control and Information, vol.16, n.3, p.313-324, 2002
Journals
F. Silva Leite,
Almost orthogonality of a skew-symmetric matrix - solution 26-2.1 to problem 26-2, Bulletim of the International Linear Algebra Society - IMAGE, n.27, p.25, 2001
M. Camarinha,
F. Silva Leite,
P. Crouch,
On the geometry of Riemannian cubic polynomials, Differential Geometry and its Applications, n.15, p.107-135, 2001
J. Ribeiro Cardoso,
F. Silva Leite,
Theoretical and numerical considerations about Padé approximants for the matrix logarithm, Linear Algebra and its Applications, n.330, p.31-42, 2001
Conferences
J. Ribeiro Cardoso,
F. Silva Leite,
Computing the inverse matrix hyperbolic sine, Lecture Notes in Computer Science, Vol. 1988, pp. 160- 169, Springer-Verlag, 2001
http://link.springer.com/chapter/10.1007/3-540-45262-1_20
http://link.springer.com/chapter/10.1007/3-540-45262-1_20
Journals
F. Silva Leite,
M. Camarinha,
P. Crouch,
Elastic curves as solutions of Riemannian and sub-Riemannian control problems, Mathematics of Control, Signals and Systems, n.13, p.140-155, 2000
Journals
P. Crouch,
G. Kun,
F. Silva Leite,
The De Casteljau algorithm on Lie groups and spheres, Journal of Dynamical and Control Systems, vol.5, n.3, p.397-429, 1999
F. Silva Leite,
P. Crouch,
Closed forms for the exponential mapping on matrix Lie groups, based on Putzer's method, Journal of Mathematical Physics, vol.40, n.7, p.3561-3568, 1999
Journals
F. Silva Leite,
P. Crouch,
The triple cross product in IR7, Reports on Mathematical Physics, vol.39, n.3, p.407-424, 1997
Journals
M. Camarinha,
F. Silva Leite,
P. Crouch,
Splines of class C k on non-Euclidean spaces, IMA Journal of Mathematical Control and Information, n.12, p.399-410, 1995
P. Crouch,
F. Silva Leite,
The dynamic interpolation problem: on Riemannian manifolds, Lie groups and symmetric spaces, Journal of Dynamical and Control Systems, vol.1, n.2, p.177-202, 1995
Journals
F. Silva Leite,
A matemática e o real: alguns exemplos, Boletim da Sociedade Portuguesa de Matemática, n.29, p.27-39, 1994
Journals
F. Silva Leite,
The geometry of hypercomplex matrices, Linear and Multilinear Algebra, vol.34, n.2, p.123-132, 1992
F. Silva Leite,
Controlabilidade estrutural, Estudos de Matemática, to the honor of Professor Renato Pereira Coelho, p.39-57, Coimbra, Portugal, 1992
F. Silva Leite,
J. Vitória,
Generalization of the De Möivre formulas for quaternions and octonions, Estudos de Matemática, to the honor of Professor Luís de Albuquerque, p.121-133, Coimbra, Portugal, 1992
F. Silva Leite,
Generalized Hessenberg matrices, Linear Algebra and its Applications, vol.170, p.220-225, 1992
Journals
F. Silva Leite,
Bounds on the order of generation of SO(n,R) by one-parameter subgroups, Rocky Mountain Journal of Mathematics, vol.21, n.2, p.879-911, 1991
Journals
F. Silva Leite,
Pairs of generators for compact real forms of the classical Lie algebras, Linear Algebra and its Applications, n.121, p.123-133, 1989
H. Albuquerque,
F. Silva Leite,
On the generators of semisimple Lie algebras, Linear Algebra and its Applications, n.119, p.51-56, 1989
Journals
F. Silva Leite,
P. Crouch,
Controllability on classical Lie groups, Mathematics of Control, Signals and Systems, n.1, p.31-42, 1988
Journals
F. Silva Leite,
Uniform controllable sets of left-invariant vector fields on noncompact Lie groups, Systems & Control Letters, vol.VII, p.213-216, 1986
F. Silva Leite,
Uniform controllable sets of left-invariant vector fields on compact Lie groups, Systems & Control Letters, vol.VI, p.293-335, 1986
Journals
P. Crouch,
F. Silva Leite,
On the uniform finite generation of SO (n,IR), Systems & Control Letters, vol.II, n.4, p.341-347, 1983
Ph.D. Thesis
Fátima Pina,
Interpolation in the generalized essential manifold (7/2020) Supervised by
Fátima Silva Leite
André Codeço Marques,
Rolamento sem Deslize nem Torção em Variedades Pseudo-Riemannianas (2/2015) Supervised by
Fátima Silva Leite