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» Sub-Sampled Newton Methods II: Local Convergence Rates
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FOCM
2008
100views more  FOCM 2008»
13 years 4 months ago
A Unifying Local Convergence Result for Newton's Method in Riemannian Manifolds
We consider the problem of finding a singularity of a differentiable vector field X defined on a complete Riemannian manifold. We prove a unified result for the existence and local...
Felipe Alvarez, Jérôme Bolte, Julien ...
SIAMJO
2010
137views more  SIAMJO 2010»
13 years 3 months ago
Global Convergence of a New Hybrid Gauss--Newton Structured BFGS Method for Nonlinear Least Squares Problems
In this paper, we propose a hybrid Gauss-Newton structured BFGS method with a new update formula and a new switch criterion for the iterative matrix to solve nonlinear least square...
Weijun Zhou, Xiaojun Chen
NA
2010
118views more  NA 2010»
13 years 3 months ago
Practical Quasi-Newton algorithms for singular nonlinear systems
Quasi-Newton methods for solving singular systems of nonlinear equations are considered in this paper. Singular roots cause a number of problems in implementation of iterative met...
Sandra Buhmiler, Natasa Krejic, Zorana Luzanin
CDC
2009
IEEE
243views Control Systems» more  CDC 2009»
13 years 9 months ago
A distributed newton method for network optimization
— Most existing work uses dual decomposition and subgradient methods to solve network optimization problems in a distributed manner, which suffer from slow convergence rate prope...
Ali Jadbabaie, Asuman E. Ozdaglar, Michael Zargham
CORR
2011
Springer
204views Education» more  CORR 2011»
12 years 11 months ago
Accelerated Dual Descent for Network Optimization
—Dual descent methods are commonly used to solve network optimization problems because their implementation can be distributed through the network. However, their convergence rat...
Michael Zargham, A. Ribeiro, Ali Jadbabaie, Asuman...