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SIAMCO
2010
153views more  SIAMCO 2010»
13 years 3 months ago
Optimal Control for an Elliptic System with Polygonal State Constraints
This work is devoted to stationary optimal control problems with polygonal constraints on the components of the state. Existence of Lagrange multipliers, of different regularity, i...
Karl Kunisch, Kewei Liang, Xiliang Lu
SIAMJO
2010
88views more  SIAMJO 2010»
13 years 3 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
CDC
2010
IEEE
130views Control Systems» more  CDC 2010»
13 years 3 months ago
A fast well-conditioned interior point method for predictive control
Interior point methods (IPMs) have proven to be an efficient way of solving quadratic programming problems in predictive control. A linear system of equations needs to be solved in...
Amir Shahzad, Eric C. Kerrigan, George A. Constant...
SIAMJO
2002
96views more  SIAMJO 2002»
13 years 8 months ago
Lagrangian Dual Interior-Point Methods for Semidefinite Programs
This paper proposes a new predictor-corrector interior-point method for a class of semidefinite programs, which numerically traces the central trajectory in a space of Lagrange mul...
Mituhiro Fukuda, Masakazu Kojima, Masayuki Shida
AMC
2006
119views more  AMC 2006»
13 years 8 months ago
Interval iterative methods for computing Moore-Penrose inverse
In this paper, we import interval method to the iteration for computing Moore-Penrose inverse of the full row (or column) rank matrix. Through modifying the classical Newton itera...
Xian Zhang, Jianfeng Cai, Yimin Wei