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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 67, 2018 - Issue 1
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Original Articles

Subgradient algorithms on Riemannian manifolds of lower bounded curvatures

X. M. WangCollege of Mathematics and Statistics, Guizhou University, Guiyang, P.R. China.Correspondence[email protected]
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Pages 179-194 | Received 22 Jan 2017, Accepted 21 Sep 2017, Published online: 12 Oct 2017

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Zexian Liu, Hongwei Liu & Ting Wang. (2023) New gradient methods with adaptive stepsizes by approximate models. Optimization 0:0, pages 1-28.
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A. A. Aguiar, O. P. Ferreira & L. F. Prudente. (2022) Subgradient method with feasible inexact projections for constrained convex optimization problems. Optimization 71:12, pages 3515-3537.
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Qamrul Hasan Ansari, Feeroz Babu & Mohd. Zeeshan. (2021) Incremental Quasi-Subgradient Method for Minimizing Sum of Geodesic Quasi-Convex Functions on Riemannian Manifolds with Applications. Numerical Functional Analysis and Optimization 42:13, pages 1492-1521.
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Peng Zhang & Gejun Bao. (2020) Path-based incremental target level algorithm on Riemannian manifolds. Optimization 69:4, pages 799-819.
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O. P. Ferreira, M. S. Louzeiro & L. F. Prudente. (2019) Iteration-complexity of the subgradient method on Riemannian manifolds with lower bounded curvature. Optimization 68:4, pages 713-729.
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Articles from other publishers (11)

Zexian Liu, Yan Ni, Hongwei Liu & Wumei Sun. (2023) A New Subspace Minimization Conjugate Gradient Method for Unconstrained Minimization. Journal of Optimization Theory and Applications 200:2, pages 820-851.
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X. M. Wang, J. H. Wang & C. Li. (2023) Convergence of Inexact Steepest Descent Algorithm for Multiobjective Optimizations on Riemannian Manifolds Without Curvature Constraints. Journal of Optimization Theory and Applications 198:1, pages 187-214.
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Dan Yang & Xiangmei Wang. (2022) Incremental subgradient algorithms with dynamic step sizes for separable convex optimizations. Mathematical Methods in the Applied Sciences 46:6, pages 7108-7124.
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Yue Guoning & Wang Jianhong. (2023) Ellipsoidal State Estimation for UAV Real Time Target Tracking. IEEE Access 11, pages 97198-97206.
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Wang JIanhong & Ouyang Qing. (2023) Synthesis Identification Analysis for Closed Loop EIV System. IEEE Access 11, pages 88422-88432.
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Yue Guoning & Wang JIanhong. (2023) Direct Data Driven Control for UAVs Formation Dynamic Network. IEEE Access 11, pages 38127-38135.
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Mauricio LouzeiroChristoph Kawan, Sigurdur HafsteinPeter GieslJinyun Yuan. (2022) A Projected Subgradient Method for the Computation of Adapted Metrics for Dynamical Systems. SIAM Journal on Applied Dynamical Systems 21:4, pages 2610-2641.
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文平 吕. (2022) Riemannian Algorithms of Order One for Solving Symmetric Nonnegative Inverse Eigenvalue Problems. Advances in Applied Mathematics 11:10, pages 7411-7421.
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Jinhua Wang, Xiangmei Wang, Chong Li & Jen-Chih Yao. (2021) Convergence Analysis of Gradient Algorithms on Riemannian Manifolds without Curvature Constraints and Application to Riemannian Mass. SIAM Journal on Optimization 31:1, pages 172-199.
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Orizon P. Ferreira, Maurício S. Louzeiro & Leandro F. Prudente. 2020. Handbook of Variational Methods for Nonlinear Geometric Data. Handbook of Variational Methods for Nonlinear Geometric Data 499 525 .
R. Bergmann, F. Laus, J. Persch & G. Steidl. 2019. Processing, Analyzing and Learning of Images, Shapes, and Forms: Part 2. Processing, Analyzing and Learning of Images, Shapes, and Forms: Part 2 553 578 .

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