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MOR
2006
95views more  MOR 2006»
15 years 3 months ago
An Efficient Interior-Point Method for Convex Multicriteria Optimization Problems
In multicriteria optimization, several objective functions, conflicting with each other, have to be minimized simultaneously. We propose a new efficient method for approximating t...
Jörg Fliege
ECCV
2008
Springer
16 years 5 months ago
Solving Image Registration Problems Using Interior Point Methods
Abstract. This paper describes a novel approach to recovering a parametric deformation that optimally registers one image to another. The method proceeds by constructing a global c...
Camillo J. Taylor, Arvind Bhusnurmath
SIAMJO
2000
88views more  SIAMJO 2000»
15 years 3 months ago
A Feasible BFGS Interior Point Algorithm for Solving Convex Minimization Problems
Abstract. We propose a BFGS primal-dual interior point method for minimizing a convex function on a convex set defined by equality and inequality constraints. The algorithm generat...
Paul Armand, Jean Charles Gilbert, Sophie Jan-J&ea...
FOCM
2002
97views more  FOCM 2002»
15 years 3 months ago
On the Riemannian Geometry Defined by Self-Concordant Barriers and Interior-Point Methods
We consider the Riemannian geometry defined on a convex set by the Hessian of a selfconcordant barrier function, and its associated geodesic curves. These provide guidance for the...
Yu. E. Nesterov, Michael J. Todd
141
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SIAMJO
2010
88views more  SIAMJO 2010»
14 years 10 months ago
A Primal-Dual Exterior Point Method for Nonlinear Optimization
In this paper, a primal dual method for general possible nonconvex nonlinear optimization problems is considered. The method is an exterior point type method which means that it p...
Hiroshi Yamashita, Takahito Tanabe