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MOR
2008
110views more  MOR 2008»
15 years 4 months ago
Alternating Projections on Manifolds
We prove that if two smooth manifolds intersect transversally, then the method of alternating projections converges locally at a linear rate. We bound the speed of convergence in ...
Adrian S. Lewis, Jérôme Malick
FOCM
2007
94views more  FOCM 2007»
15 years 4 months ago
Trust-Region Methods on Riemannian Manifolds
A general scheme for trust-region methods on Riemannian manifolds is proposed and analyzed. Among the various approaches available to (approximately) solve the trust-region subpro...
Pierre-Antoine Absil, C. G. Baker, Kyle A. Galliva...
IEICET
2007
131views more  IEICET 2007»
15 years 4 months ago
High Accuracy Fundamental Matrix Computation and Its Performance Evaluation
We compare the convergence performance of different numerical schemes for computing the fundamental matrix from point correspondences over two images. First, we state the problem ...
Ken-ichi Kanatani, Yasuyuki Sugaya
SIAMJO
2008
141views more  SIAMJO 2008»
15 years 4 months ago
Constraint Nondegeneracy, Strong Regularity, and Nonsingularity in Semidefinite Programming
It is known that the Karush-Kuhn-Tucker (KKT) conditions of semidefinite programming can be reformulated as a nonsmooth system via the metric projector over the cone of symmetric ...
Zi Xian Chan, Defeng Sun
AUTOMATICA
2005
94views more  AUTOMATICA 2005»
15 years 4 months ago
A hierarchical cyclic pursuit scheme for vehicle networks
The agreement problem is studied whereby a group of mobile agents achieves convergence to a common point. A hierarchical cyclic pursuit scheme is introduced, and it is shown that ...
Stephen L. Smith, Mireille E. Broucke, Bruce A. Fr...