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Silva Leite, Fátima

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Author ID: silva-leite.fatima Recent zbMATH articles by "Silva Leite, Fátima"
Published as: Silva Leite, F.; Silva Leite, Fátima; Leite, Fátima Silva; Silva Leite, M. F.
Documents Indexed: 55 Publications since 1983
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 357 times in 187 Documents Cited by Year
The dynamic interpolation problem: on Riemannian manifolds, Lie groups, and symmetric spaces. Zbl 0946.58018
Crouch, P.; Silva Leite, F.
61
1995
Splines of class \(C^ k\) on non-Euclidean spaces. Zbl 0860.58013
Camarinha, M.; Silva Leite, F.; Crouch, P.
32
1995
The De Casteljau algorithm on Lie groups and spheres. Zbl 0961.53027
Crouch, P.; Kun, G.; Silva Leite, F.
28
1999
On the geometry of Riemannian cubic polynomials. Zbl 1034.53041
Camarinha, M.; Silva Leite, F.; Crouch, P.
26
2001
Controllability on classical Lie groups. Zbl 0658.93013
Silva Leite, F.; Crouch, P. E.
20
1988
Higher-order smoothing splines versus least squares problems on Riemannian manifolds. Zbl 1203.65028
Machado, L.; Silva Leite, F.; Krakowski, K.
19
2010
Elastic curves as solutions of Riemannian and sub-Riemannian control problems. Zbl 1048.58010
Silva Leite, F.; Camarinha, M.; Crouch, P.
16
2000
On the geometry of rolling and interpolation curves on \(S^n\), \(\mathrm{SO}_n\), and Grassmann manifolds. Zbl 1140.58005
Hüper, K.; Silva Leite, F.
15
2007
An intrinsic formulation of the problem on rolling manifolds. Zbl 1261.37027
Godoy Molina, M.; Grong, E.; Markina, I.; Silva Leite, F.
13
2012
The Moser-Veselov equation. Zbl 1020.15016
Cardoso, J. R.; Silva Leite, F.
9
2003
On the uniform finite generation of \(\mathrm{SO}(n,\mathbb R)\). Zbl 0511.22004
Crouch, P. E.; Silva Leite, F.
8
1983
Fitting smooth paths on Riemannian manifolds. Zbl 1138.65012
Machado, Luis; Silva Leite, F.
8
2006
Rolling Stiefel manifolds. Zbl 1168.53007
Hüper, K.; Kleinsteuber, M.; Silva Leite, F.
7
2008
Theoretical and numerical considerations about Padé approximants for the matrix logarithm. Zbl 0981.65053
Cardoso, J. R.; Silva Leite, F.
7
2001
Exponentials of skew-symmetric matrices and logarithms of orthogonal matrices. Zbl 1185.65070
Cardoso, João R.; Silva Leite, F.
7
2010
Geometric mean and geodesic regression on Grassmannians. Zbl 1315.53037
Batzies, E.; Hüper, K.; Machado, L.; Silva Leite, F.
6
2015
A two-step algorithm of smooth spline generation on Riemannian manifolds. Zbl 1101.65012
Jakubiak, Janusz; Silva Leite, Fátima; Rodrigues, Rui C.
6
2006
Uniform controllable sets of left-invariant vector fields on compact Lie groups. Zbl 0598.93005
Silva Leite, F.
5
1986
Computing the square root and logarithm of a real \(P\)-orthogonal matrix. Zbl 1030.65032
Cardoso, João R.; Kenney, Charles S.; Silva Leite, F.
5
2003
Closed forms for the exponential mapping on matrix Lie groups based on Putzer’s method. Zbl 0942.22009
Silva Leite, F.; Crouch, P.
5
1999
A modified Casteljau algorithm to solve interpolation problems on Stiefel manifolds. Zbl 1357.53044
Krakowski, Krzysztof A.; Machado, Luís; Silva Leite, Fátima; Batista, Jorge
5
2017
On the generators of semisimple Lie algebras. Zbl 0676.17006
Albuquerque, H.; Silva Leite, F.
4
1989
A new geometric algorithm to generate smooth interpolating curves on {R}iemannian manifolds. Zbl 1125.41010
Rodrigues, Rui C.; Silva Leite, F.; Jakubiak, Janusz
4
2005
Bounds on the order of generation of SO(n,R) by one-parameter subgroups. Zbl 0728.22009
Silva Leite, F.
4
1991
Rolling maps in a Riemannian framework. Zbl 1254.53018
Hüper, Knut; Krakowski, Krzysztof Andrzej; Silva Leite, Fátima
4
2011
Pairs of generators for compact real forms of the classical Lie algebras. Zbl 0682.17004
Silva Leite, F.
3
1989
Riemannian means as solutions of variational problems. Zbl 1111.58010
Machado, Luís; Silva Leite, F.; Hüper, Knut
3
2006
Smooth trajectory planning for fully automated passengers vehicles: spline and clothoid based methods and its simulation. Zbl 1188.93068
Labakhua, Larissa; Nunes, Urbano; Rodrigues, Rui; Silva Leite, Fátima
3
2008
The uniform finite generation problem of Lie groups and its application to control systems. Zbl 0579.22011
Silva Leite, M. F.
2
1985
Controllability and graphs. Zbl 0736.93006
Silva Leite, F.; Crouch, P. E.
2
1991
An algorithm based on rolling to generate smooth interpolating curves on ellipsoids. Zbl 1335.65023
Krakowski, Krzysztof A.; Silva Leite, Fátima
2
2014
Rolling symmetric spaces. Zbl 1354.94017
Krakowski, Krzysztof A.; Machado, Luís; Silva Leite, Fátima
2
2015
Computing the inverse matrix hyperbolic sine. Zbl 0978.65009
Cardoso, J. R.; Silva Leite, F.
2
2001
The geometry of hypercomplex matrices. Zbl 0796.15017
Silva Leite, F.
2
1993
The triple cross product in \(\mathbb{R}^7\). Zbl 0901.17003
Silva Leite, F.; Crouch, P.
2
1997
Spline elements on spheres. Zbl 0836.65007
Brunnett, G.; Crouch, P. E.; Silva Leite, F.
2
1995
Padé and Gregory error estimates for the logarithm of block triangular matrices. Zbl 1094.65037
Cardoso, João R.; Silva Leite, F.
2
2006
Introduction to the intrinsic rolling with indefinite metric. Zbl 1373.37152
Markina, Irina; Leite, Fátima Silva
2
2016
Uniform controllable sets of left-invariant vector fields on noncompact Lie groups. Zbl 0589.93005
Silva Leite, F.
1
1986
Erratum to: “Geometry of the rolling ellipsoid”. Zbl 1389.53029
Krakowski, Krzysztof A.; Silva Leite, Fátima
1
2016
Geometry of the rolling ellipsoid. Zbl 1374.53033
Krakowski, Krzysztof Andrzej; Silva Leite, Fátima
1
2016
Extremal curves on Stiefel and Grassmann manifolds. Zbl 07327615
Jurdjevic, V.; Markina, I.; Silva Leite, F.
1
2020
Extremal curves on Stiefel and Grassmann manifolds. Zbl 07327615
Jurdjevic, V.; Markina, I.; Silva Leite, F.
1
2020
A modified Casteljau algorithm to solve interpolation problems on Stiefel manifolds. Zbl 1357.53044
Krakowski, Krzysztof A.; Machado, Luís; Silva Leite, Fátima; Batista, Jorge
5
2017
Introduction to the intrinsic rolling with indefinite metric. Zbl 1373.37152
Markina, Irina; Leite, Fátima Silva
2
2016
Erratum to: “Geometry of the rolling ellipsoid”. Zbl 1389.53029
Krakowski, Krzysztof A.; Silva Leite, Fátima
1
2016
Geometry of the rolling ellipsoid. Zbl 1374.53033
Krakowski, Krzysztof Andrzej; Silva Leite, Fátima
1
2016
Geometric mean and geodesic regression on Grassmannians. Zbl 1315.53037
Batzies, E.; Hüper, K.; Machado, L.; Silva Leite, F.
6
2015
Rolling symmetric spaces. Zbl 1354.94017
Krakowski, Krzysztof A.; Machado, Luís; Silva Leite, Fátima
2
2015
An algorithm based on rolling to generate smooth interpolating curves on ellipsoids. Zbl 1335.65023
Krakowski, Krzysztof A.; Silva Leite, Fátima
2
2014
An intrinsic formulation of the problem on rolling manifolds. Zbl 1261.37027
Godoy Molina, M.; Grong, E.; Markina, I.; Silva Leite, F.
13
2012
Rolling maps in a Riemannian framework. Zbl 1254.53018
Hüper, Knut; Krakowski, Krzysztof Andrzej; Silva Leite, Fátima
4
2011
Higher-order smoothing splines versus least squares problems on Riemannian manifolds. Zbl 1203.65028
Machado, L.; Silva Leite, F.; Krakowski, K.
19
2010
Exponentials of skew-symmetric matrices and logarithms of orthogonal matrices. Zbl 1185.65070
Cardoso, João R.; Silva Leite, F.
7
2010
Rolling Stiefel manifolds. Zbl 1168.53007
Hüper, K.; Kleinsteuber, M.; Silva Leite, F.
7
2008
Smooth trajectory planning for fully automated passengers vehicles: spline and clothoid based methods and its simulation. Zbl 1188.93068
Labakhua, Larissa; Nunes, Urbano; Rodrigues, Rui; Silva Leite, Fátima
3
2008
On the geometry of rolling and interpolation curves on \(S^n\), \(\mathrm{SO}_n\), and Grassmann manifolds. Zbl 1140.58005
Hüper, K.; Silva Leite, F.
15
2007
Fitting smooth paths on Riemannian manifolds. Zbl 1138.65012
Machado, Luis; Silva Leite, F.
8
2006
A two-step algorithm of smooth spline generation on Riemannian manifolds. Zbl 1101.65012
Jakubiak, Janusz; Silva Leite, Fátima; Rodrigues, Rui C.
6
2006
Riemannian means as solutions of variational problems. Zbl 1111.58010
Machado, Luís; Silva Leite, F.; Hüper, Knut
3
2006
Padé and Gregory error estimates for the logarithm of block triangular matrices. Zbl 1094.65037
Cardoso, João R.; Silva Leite, F.
2
2006
A new geometric algorithm to generate smooth interpolating curves on {R}iemannian manifolds. Zbl 1125.41010
Rodrigues, Rui C.; Silva Leite, F.; Jakubiak, Janusz
4
2005
The Moser-Veselov equation. Zbl 1020.15016
Cardoso, J. R.; Silva Leite, F.
9
2003
Computing the square root and logarithm of a real \(P\)-orthogonal matrix. Zbl 1030.65032
Cardoso, João R.; Kenney, Charles S.; Silva Leite, F.
5
2003
On the geometry of Riemannian cubic polynomials. Zbl 1034.53041
Camarinha, M.; Silva Leite, F.; Crouch, P.
26
2001
Theoretical and numerical considerations about Padé approximants for the matrix logarithm. Zbl 0981.65053
Cardoso, J. R.; Silva Leite, F.
7
2001
Computing the inverse matrix hyperbolic sine. Zbl 0978.65009
Cardoso, J. R.; Silva Leite, F.
2
2001
Elastic curves as solutions of Riemannian and sub-Riemannian control problems. Zbl 1048.58010
Silva Leite, F.; Camarinha, M.; Crouch, P.
16
2000
The De Casteljau algorithm on Lie groups and spheres. Zbl 0961.53027
Crouch, P.; Kun, G.; Silva Leite, F.
28
1999
Closed forms for the exponential mapping on matrix Lie groups based on Putzer’s method. Zbl 0942.22009
Silva Leite, F.; Crouch, P.
5
1999
The triple cross product in \(\mathbb{R}^7\). Zbl 0901.17003
Silva Leite, F.; Crouch, P.
2
1997
The dynamic interpolation problem: on Riemannian manifolds, Lie groups, and symmetric spaces. Zbl 0946.58018
Crouch, P.; Silva Leite, F.
61
1995
Splines of class \(C^ k\) on non-Euclidean spaces. Zbl 0860.58013
Camarinha, M.; Silva Leite, F.; Crouch, P.
32
1995
Spline elements on spheres. Zbl 0836.65007
Brunnett, G.; Crouch, P. E.; Silva Leite, F.
2
1995
The geometry of hypercomplex matrices. Zbl 0796.15017
Silva Leite, F.
2
1993
Bounds on the order of generation of SO(n,R) by one-parameter subgroups. Zbl 0728.22009
Silva Leite, F.
4
1991
Controllability and graphs. Zbl 0736.93006
Silva Leite, F.; Crouch, P. E.
2
1991
On the generators of semisimple Lie algebras. Zbl 0676.17006
Albuquerque, H.; Silva Leite, F.
4
1989
Pairs of generators for compact real forms of the classical Lie algebras. Zbl 0682.17004
Silva Leite, F.
3
1989
Controllability on classical Lie groups. Zbl 0658.93013
Silva Leite, F.; Crouch, P. E.
20
1988
Uniform controllable sets of left-invariant vector fields on compact Lie groups. Zbl 0598.93005
Silva Leite, F.
5
1986
Uniform controllable sets of left-invariant vector fields on noncompact Lie groups. Zbl 0589.93005
Silva Leite, F.
1
1986
The uniform finite generation problem of Lie groups and its application to control systems. Zbl 0579.22011
Silva Leite, M. F.
2
1985
On the uniform finite generation of \(\mathrm{SO}(n,\mathbb R)\). Zbl 0511.22004
Crouch, P. E.; Silva Leite, F.
8
1983
all top 5

Cited by 227 Authors

28 Silva Leite, Fátima
10 Colombo, Leonardo Jesus
10 Noakes, Lyle
8 Bloch, Anthony Michael
7 Cardoso, João R.
7 Kokkonen, Petri
6 Camarinha, Margarida
6 Chitour, Yacine
5 Abrunheiro, Lígia
5 Crouch, Peter E.
5 Godoy Molina, Mauricio
5 Hüper, Knut
5 Krakowski, Krzysztof Andrzej
5 Machado, Luis
5 Vialard, François-Xavier
4 Altafini, Claudio
4 Korpinar, Talat
4 Markina, Irina
4 Popiel, Tomasz
4 Zhang, Erchuan
3 El Assoudi-Baikari, Rachida
3 Garay, Oscar Jesus
3 Gay-Balmaz, François
3 Grong, Erlend
3 Helmke, Uwe R.
3 Holm, Darryl D.
3 Koiller, Jair
3 Martín de Diego, David
3 Pauley, Michael
3 Ratiu, Tudor Stefan
3 Sachkov, Yuriĭ Leonidovich
3 Samir, Chafik
2 Absil, Pierre-Antoine
2 Adouani, Ines
2 Albuquerque, Helena
2 Arroyo, Josu J.
2 Ayala, Victor
2 Balseiro, Paula
2 Beites, Patricia D.
2 Bertolazzi, Enrico
2 Biggs, James Douglas
2 Cabrera, Alejandro
2 Clemente-Gallardo, Jesús
2 D’Alessandro, Domenico
2 Dirr, Gunther
2 El Assoudi, R.
2 Fletcher, Preston Thomas
2 Frego, Marco
2 Gauthier, Jean-Paul A.
2 Gil’, Michael Iosif
2 Gousenbourger, Pierre-Yves
2 Gupta, Rohit
2 Higham, Nicholas J.
2 Holderbaum, William
2 Jakubiak, Janusz
2 Jiménez, Fernando
2 Kolmanovsky, Ilya V.
2 Liu, Wende
2 Marsden, Jerrold Eldon
2 Martin, Clyde Franklin
2 Massart, Estelle M.
2 Meier, David M.
2 Mencía, José J.
2 Miraldo, Pedro
2 Modin, Klas
2 Monteiro, M. Teresa T.
2 Mortada, Amina
2 Prieto-Martínez, Pedro Daniel
2 Rodrigues, Rui C.
2 Rumpf, Martin
2 Rüppel, Frederike
2 San Martin, Luiz Antonio Barrera
2 Santos, Patrícia S.
2 Saraiva, Paulo
2 Schrader, Philip John
2 Tang, Liming
2 Verdier, Olivier
2 Vitoria, Jose
2 Yayli, Yusuf
2 Zimmermann, Ralf
1 Aprahamian, Mary
1 Ayala-Hoffmann, José
1 Bagnarosa, Guillaume
1 Batista, Jorge
1 Batzies, Ekkehard
1 Belhadj, Mohamed
1 Benamou, Jean-David
1 Birtea, Petre
1 Bishop, Adrian N.
1 Bogfjellmo, Geir
1 Bohr, Jakob
1 Borzì, Alfio
1 Bossa, Matias N.
1 Bou-Rabee, Nawaf M.
1 Bullo, Francesco
1 Burchard, Almut
1 Byrne, Simon P. J.
1 Çakmak, Ali
1 Cariñena, José F.
1 Caşu, Ioan
...and 127 more Authors
all top 5

Cited in 78 Serials

12 Journal of Mathematical Physics
12 Journal of Dynamical and Control Systems
9 MCSS. Mathematics of Control, Signals, and Systems
8 Linear Algebra and its Applications
8 Journal of Geometric Mechanics
6 Journal of Computational and Applied Mathematics
6 Systems & Control Letters
6 Computer Aided Geometric Design
6 International Journal of Geometric Methods in Modern Physics
4 Journal of Mathematical Imaging and Vision
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 Foundations of Computational Mathematics
3 Journal of Geometry and Physics
3 Applied Mathematics and Computation
3 Automatica
3 Kybernetika
3 Journal of Nonlinear Science
3 SIAM Journal on Scientific Computing
3 Journal of Mathematical Sciences (New York)
3 Advances in Computational Mathematics
3 Discrete and Continuous Dynamical Systems
2 International Journal of Control
2 Journal of Optimization Theory and Applications
2 SIAM Journal on Control and Optimization
2 SIAM Journal on Numerical Analysis
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Applied Numerical Mathematics
2 SIAM Journal on Matrix Analysis and Applications
2 Differential Geometry and its Applications
2 The Journal of Geometric Analysis
2 International Journal of Computer Mathematics
2 Advances in Applied Clifford Algebras
2 European Journal of Control
2 LMS Journal of Computation and Mathematics
1 Communications in Mathematical Physics
1 International Journal of Systems Science
1 Journal of Mathematical Analysis and Applications
1 Linear and Multilinear Algebra
1 Mathematical Methods in the Applied Sciences
1 Reports on Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Scandinavian Journal of Statistics
1 The Annals of Statistics
1 Colloquium Mathematicum
1 Journal of Approximation Theory
1 Journal of Differential Equations
1 Journal of Pure and Applied Algebra
1 Mathematische Zeitschrift
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Quarterly of Applied Mathematics
1 Acta Applicandae Mathematicae
1 SIAM Journal on Mathematical Analysis
1 International Journal of Robust and Nonlinear Control
1 The Journal of Analysis
1 Applied and Computational Harmonic Analysis
1 ELA. The Electronic Journal of Linear Algebra
1 Nonlinear Dynamics
1 Honam Mathematical Journal
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Communications on Pure and Applied Analysis
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Theoretical and Applied Mechanics
1 Boletim da Sociedade Paranaense de Matemática. Terceira Série
1 Mediterranean Journal of Mathematics
1 GAMM-Mitteilungen
1 Optimization Letters
1 Asian-European Journal of Mathematics
1 São Paulo Journal of Mathematical Sciences
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Symmetry
1 Sankhyā. Series A
1 Journal of the Operations Research Society of China
1 Nanoscale Systems: Mathematical Modeling, Theory and Applications
1 International Journal of Partial Differential Equations
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Advances in Operator Theory
all top 5

Cited in 35 Fields

66 Differential geometry (53-XX)
61 Numerical analysis (65-XX)
42 Mechanics of particles and systems (70-XX)
39 Systems theory; control (93-XX)
37 Calculus of variations and optimal control; optimization (49-XX)
24 Topological groups, Lie groups (22-XX)
24 Global analysis, analysis on manifolds (58-XX)
20 Dynamical systems and ergodic theory (37-XX)
18 Linear and multilinear algebra; matrix theory (15-XX)
14 Ordinary differential equations (34-XX)
13 Approximations and expansions (41-XX)
12 Nonassociative rings and algebras (17-XX)
7 Computer science (68-XX)
7 Operations research, mathematical programming (90-XX)
6 Geometry (51-XX)
6 Statistics (62-XX)
6 Quantum theory (81-XX)
4 Group theory and generalizations (20-XX)
4 Probability theory and stochastic processes (60-XX)
4 Information and communication theory, circuits (94-XX)
3 Difference and functional equations (39-XX)
3 Operator theory (47-XX)
2 Algebraic geometry (14-XX)
2 Partial differential equations (35-XX)
2 Mechanics of deformable solids (74-XX)
2 Relativity and gravitational theory (83-XX)
2 Biology and other natural sciences (92-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Special functions (33-XX)
1 Convex and discrete geometry (52-XX)
1 Manifolds and cell complexes (57-XX)
1 Optics, electromagnetic theory (78-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year