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DAM
2008
91views more  DAM 2008»
13 years 8 months ago
The Newton Bracketing method for the minimization of convex functions subject to affine constraints
The Newton Bracketing method [9] for the minimization of convex functions f : Rn R is extended to affinely constrained convex minimization problems. The results are illustrated for...
Adi Ben-Israel, Yuri Levin
MP
2006
134views more  MP 2006»
13 years 8 months ago
Cubic regularization of Newton method and its global performance
In this paper, we provide theoretical analysis for a cubic regularization of Newton method as applied to unconstrained minimization problem. For this scheme, we prove general local...
Yurii Nesterov, Boris T. Polyak
JMIV
2007
484views more  JMIV 2007»
13 years 8 months ago
On Semismooth Newton's Methods for Total Variation Minimization
In [2], Chambolle proposed an algorithm for minimizing the total variation of an image. In this short note, based on the theory on semismooth operators, we study semismooth Newton...
Michael K. Ng, Liqun Qi, Yu-Fei Yang, Yu-Mei Huang
SIAMJO
2008
92views more  SIAMJO 2008»
13 years 8 months ago
An Active-Set Newton Method for Mathematical Programs with Complementarity Constraints
For a mathematical program with complementarity constraints (MPCC), we propose an active-set Newton method, which has the property of local quadratic convergence under the MPCC lin...
Alexey F. Izmailov, Mikhail V. Solodov
ICRA
1999
IEEE
146views Robotics» more  ICRA 1999»
14 years 29 days ago
A Dynamic Quasi-Newton Method for Uncalibrated Visual Servoing
Tracking of a moving target by uncalibrated model independent visual servo control is achieved by developing a new \dynamic" quasi-Newton approach. Model independent visual s...
Jenelle Armstrong Piepmeier, Gary V. McMurray, Har...