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Two approaches toward constrained vector optimization and identity of the solutions
Gauss-Newton-on-manifold for pose estimation
1. | National ICT Australia Ltd., Australia, Australian National University, Australia, Australia |
[1] |
Hong-Yi Miao, Li Wang. Preconditioned inexact Newton-like method for large nonsymmetric eigenvalue problems. Numerical Algebra, Control and Optimization, 2021, 11 (4) : 677-685. doi: 10.3934/naco.2021012 |
[2] |
Tibor Krisztin. A local unstable manifold for differential equations with state-dependent delay. Discrete and Continuous Dynamical Systems, 2003, 9 (4) : 993-1028. doi: 10.3934/dcds.2003.9.993 |
[3] |
Shummin Nakayama, Yasushi Narushima, Hiroshi Yabe. Memoryless quasi-Newton methods based on spectral-scaling Broyden family for unconstrained optimization. Journal of Industrial and Management Optimization, 2019, 15 (4) : 1773-1793. doi: 10.3934/jimo.2018122 |
[4] |
C. M. Groothedde, J. D. Mireles James. Parameterization method for unstable manifolds of delay differential equations. Journal of Computational Dynamics, 2017, 4 (1&2) : 21-70. doi: 10.3934/jcd.2017002 |
[5] |
B. S. Goh, W. J. Leong, Z. Siri. Partial Newton methods for a system of equations. Numerical Algebra, Control and Optimization, 2013, 3 (3) : 463-469. doi: 10.3934/naco.2013.3.463 |
[6] |
Qiumei Huang, Xiuxiu Xu, Hermann Brunner. Continuous Galerkin methods on quasi-geometric meshes for delay differential equations of pantograph type. Discrete and Continuous Dynamical Systems, 2016, 36 (10) : 5423-5443. doi: 10.3934/dcds.2016039 |
[7] |
Aurore Back, Emmanuel Frénod. Geometric two-scale convergence on manifold and applications to the Vlasov equation. Discrete and Continuous Dynamical Systems - S, 2015, 8 (1) : 223-241. doi: 10.3934/dcdss.2015.8.223 |
[8] |
Dmitry Pozharskiy, Noah J. Wichrowski, Andrew B. Duncan, Grigorios A. Pavliotis, Ioannis G. Kevrekidis. Manifold learning for accelerating coarse-grained optimization. Journal of Computational Dynamics, 2020, 7 (2) : 511-536. doi: 10.3934/jcd.2020021 |
[9] |
Inácio Andruski-Guimarães, Anselmo Chaves-Neto. Estimation in polytomous logistic model: Comparison of methods. Journal of Industrial and Management Optimization, 2009, 5 (2) : 239-252. doi: 10.3934/jimo.2009.5.239 |
[10] |
Miguel Ángel Evangelista-Alvarado, José Crispín Ruíz-Pantaleón, Pablo Suárez-Serrato. On computational Poisson geometry II: Numerical methods. Journal of Computational Dynamics, 2021, 8 (3) : 273-307. doi: 10.3934/jcd.2021012 |
[11] |
Domokos Szász. Algebro-geometric methods for hard ball systems. Discrete and Continuous Dynamical Systems, 2008, 22 (1&2) : 427-443. doi: 10.3934/dcds.2008.22.427 |
[12] |
Sebastián J. Ferraro, David Iglesias-Ponte, D. Martín de Diego. Numerical and geometric aspects of the nonholonomic SHAKE and RATTLE methods. Conference Publications, 2009, 2009 (Special) : 220-229. doi: 10.3934/proc.2009.2009.220 |
[13] |
Ulrike Kant, Werner M. Seiler. Singularities in the geometric theory of differential equations. Conference Publications, 2011, 2011 (Special) : 784-793. doi: 10.3934/proc.2011.2011.784 |
[14] |
Dmitri E. Kvasov, Yaroslav D. Sergeyev. Univariate geometric Lipschitz global optimization algorithms. Numerical Algebra, Control and Optimization, 2012, 2 (1) : 69-90. doi: 10.3934/naco.2012.2.69 |
[15] |
Zohre Aminifard, Saman Babaie-Kafaki. Diagonally scaled memoryless quasi–Newton methods with application to compressed sensing. Journal of Industrial and Management Optimization, 2021 doi: 10.3934/jimo.2021191 |
[16] |
Cheng-Dar Liou. Note on "Cost analysis of the M/M/R machine repair problem with second optional repair: Newton-Quasi method". Journal of Industrial and Management Optimization, 2012, 8 (3) : 727-732. doi: 10.3934/jimo.2012.8.727 |
[17] |
Kuo-Hsiung Wang, Chuen-Wen Liao, Tseng-Chang Yen. Cost analysis of the M/M/R machine repair problem with second optional repair: Newton-Quasi method. Journal of Industrial and Management Optimization, 2010, 6 (1) : 197-207. doi: 10.3934/jimo.2010.6.197 |
[18] |
Carlangelo Liverani. On the work and vision of Dmitry Dolgopyat. Journal of Modern Dynamics, 2010, 4 (2) : 211-225. doi: 10.3934/jmd.2010.4.211 |
[19] |
Robert J. McCann. A glimpse into the differential topology and geometry of optimal transport. Discrete and Continuous Dynamical Systems, 2014, 34 (4) : 1605-1621. doi: 10.3934/dcds.2014.34.1605 |
[20] |
Łukasz Rudnicki. Geophysics and Stuart vortices on a sphere meet differential geometry. Communications on Pure and Applied Analysis, 2022, 21 (7) : 2479-2493. doi: 10.3934/cpaa.2022075 |
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