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CORR
2008
Springer
107views Education» more  CORR 2008»
13 years 4 months ago
Randomized Methods for Linear Constraints: Convergence Rates and Conditioning
We study randomized variants of two classical algorithms: coordinate descent for systems of linear equations and iterated projections for systems of linear inequalities. Expanding...
D. Leventhal, A. S. Lewis
SIAMJO
2008
212views more  SIAMJO 2008»
13 years 4 months ago
Convergence Rate of an Optimization Algorithm for Minimizing Quadratic Functions with Separable Convex Constraints
A new active set algorithm for minimizing quadratic functions with separable convex constraints is proposed by combining the conjugate gradient method with the projected gradient. ...
Radek Kucera
SIAMJO
2010
130views more  SIAMJO 2010»
12 years 11 months ago
A Randomized Cutting Plane Method with Probabilistic Geometric Convergence
Abstract. We propose a randomized method for general convex optimization problems; namely, the minimization of a linear function over a convex body. The idea is to generate N rando...
Fabrizio Dabbene, P. S. Shcherbakov, Boris T. Poly...
MP
2008
117views more  MP 2008»
13 years 4 months ago
Multiplier convergence in trust-region methods with application to convergence of decomposition methods for MPECs
Abstract. We study piecewise decomposition methods for mathematical programs with equilibrium constraints (MPECs) for which all constraint functions are linear. At each iteration o...
Giovanni Giallombardo, Daniel Ralph
MP
2008
91views more  MP 2008»
13 years 4 months ago
The rate of convergence of the augmented Lagrangian method for nonlinear semidefinite programming
We analyze the rate of local convergence of the augmented Lagrangian method for nonlinear semidefinite optimization. The presence of the positive semidefinite cone constraint requ...
Defeng Sun, Jie Sun, Liwei Zhang