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Orizon Pereira Ferreira | O. P. Ferreira | T. A. Fernandes | Marcio Antonio de Andrade Bortoloti | Teles Araujo Fernandes | M. Bortoloti
[1] Alan Edelman,et al. The Geometry of Algorithms with Orthogonality Constraints , 1998, SIAM J. Matrix Anal. Appl..
[2] Wen Huang,et al. Solving PhaseLift by Low-rank Riemannian Optimization Methods , 2017, ICCS.
[3] Benedikt Wirth,et al. Optimization Methods on Riemannian Manifolds and Their Application to Shape Space , 2012, SIAM J. Optim..
[4] J. Moser,et al. A NEW TECHNIQUE FOR THE CONSTRUCTION OF SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS. , 1961, Proceedings of the National Academy of Sciences of the United States of America.
[5] Bart Vandereycken,et al. Low-Rank Matrix Completion by Riemannian Optimization , 2013, SIAM J. Optim..
[6] Jonathan H. Manton,et al. Optimization algorithms exploiting unitary constraints , 2002, IEEE Trans. Signal Process..
[7] Jérôme Malick,et al. Projection-like Retractions on Matrix Manifolds , 2012, SIAM J. Optim..
[8] I. Holopainen. Riemannian Geometry , 1927, Nature.
[9] Pierre-Antoine Absil,et al. Robust Low-Rank Matrix Completion by Riemannian Optimization , 2016, SIAM J. Sci. Comput..
[10] Uwe Helmke,et al. Newton's algorithm in Euclidean Jordan algebras, with applications to robotics , 2002, Commun. Inf. Syst..
[11] Matthew M. Lin,et al. Riemannian inexact Newton method for structured inverse eigenvalue and singular value problems , 2018, BIT Numerical Mathematics.
[12] Pierre-Antoine Absil,et al. Trust-Region Methods on Riemannian Manifolds , 2007, Found. Comput. Math..
[13] O. Burdakov. Some globally convergent modifications of Newton's method for solving systems of nonlinear equations , 1980 .
[14] Wotao Yin,et al. A feasible method for optimization with orthogonality constraints , 2013, Math. Program..
[15] John E. Dennis,et al. Numerical methods for unconstrained optimization and nonlinear equations , 1983, Prentice Hall series in computational mathematics.
[16] D. Gabay. Minimizing a differentiable function over a differential manifold , 1982 .
[17] Wen Huang,et al. Riemannian Optimization for Registration of Curves in Elastic Shape Analysis , 2015, Journal of Mathematical Imaging and Vision.
[18] John B. Moore,et al. Quadratically convergent algorithms for optimal dextrous hand grasping , 2002, IEEE Trans. Robotics Autom..
[19] Xiaojing Zhu,et al. A Riemannian conjugate gradient method for optimization on the Stiefel manifold , 2016, Computational Optimization and Applications.
[20] J. Nash. The imbedding problem for Riemannian manifolds , 1956 .
[21] Wen Huang,et al. Intrinsic representation of tangent vectors and vector transports on matrix manifolds , 2017, Numerische Mathematik.
[22] D. Luenberger. The Gradient Projection Method Along Geodesics , 1972 .
[23] O. P. Ferreira,et al. Local convergence of Newton's method under a majorant condition in Riemannian manifolds , 2012 .
[24] Dimitri P. Bertsekas,et al. Constrained Optimization and Lagrange Multiplier Methods , 1982 .
[25] Steven Thomas Smith,et al. Optimization Techniques on Riemannian Manifolds , 2014, ArXiv.
[26] Chong Li,et al. Kantorovich's theorems for Newton's method for mappings and optimization problems on Lie groups , 2011 .
[27] I. Argyros,et al. Newton’s method for approximating zeros of vector fields on Riemannian manifolds , 2009 .
[28] Sergio Amat,et al. Third-order methods on Riemannian manifolds under Kantorovich conditions , 2014, J. Comput. Appl. Math..
[29] Hiroyuki Sato,et al. A Riemannian Optimization Approach to the Matrix Singular Value Decomposition , 2013, SIAM J. Optim..
[30] Ben Jeuris,et al. A survey and comparison of contemporary algorithms for computing the matrix geometric mean , 2012 .
[31] Yin Zhang,et al. An Efficient Gauss-Newton Algorithm for Symmetric Low-Rank Product Matrix Approximations , 2015, SIAM J. Optim..
[32] R. Adler,et al. Newton's method on Riemannian manifolds and a geometric model for the human spine , 2002 .
[33] U. Helmke,et al. Nonsmooth Riemannian Optimization with Applications to Sphere Packing and Grasping , 2007 .
[34] Levent Tunçel,et al. Optimization algorithms on matrix manifolds , 2009, Math. Comput..
[35] Volker Schulz,et al. A Riemannian View on Shape Optimization , 2012, Foundations of Computational Mathematics.
[36] Yin Zhang,et al. Accelerating Convergence by Augmented Rayleigh-Ritz Projections For Large-Scale Eigenpair Computation , 2017, SIAM J. Matrix Anal. Appl..
[37] Jinyun Yuan,et al. Damped Newton’s method on Riemannian manifolds , 2018, J. Glob. Optim..
[38] Chong Li,et al. Newton's method on Riemannian manifolds: Smale's point estimate theory under the γ-condition , 2006 .
[39] Chong Li,et al. Smale's point estimate theory for Newton's method on Lie groups , 2009, J. Complex..
[40] Yin Zhang,et al. Solving a low-rank factorization model for matrix completion by a nonlinear successive over-relaxation algorithm , 2012, Mathematical Programming Computation.
[41] A. F. Izmailov,et al. Newton-Type Methods for Optimization and Variational Problems , 2014 .
[42] Suvrit Sra,et al. Conic Geometric Optimization on the Manifold of Positive Definite Matrices , 2013, SIAM J. Optim..
[43] Wen Huang,et al. A Riemannian symmetric rank-one trust-region method , 2014, Mathematical Programming.
[44] Hiroyuki Sato,et al. A matrix-free implementation of Riemannian Newton’s method on the Stiefel manifold , 2017, Optim. Lett..
[45] Orizon Pereira Ferreira,et al. Kantorovich's Theorem on Newton's Method in Riemannian Manifolds , 2002, J. Complex..
[46] Bruno Iannazzo,et al. Geometric means of structured matrices , 2014 .
[47] Jinyun Yuan,et al. On the Superlinear Convergence of Newton’s Method on Riemannian Manifolds , 2016, Journal of Optimization Theory and Applications.
[48] Pierre-Antoine Absil,et al. A Riemannian subgradient algorithm for economic dispatch with valve-point effect , 2014, J. Comput. Appl. Math..
[49] Xin Zhang,et al. Gradient Type Optimization Methods For Electronic Structure Calculations , 2013, SIAM J. Sci. Comput..