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SIAMJO
2010
137views more  SIAMJO 2010»
13 years 8 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
MOC
1998
115views more  MOC 1998»
13 years 9 months ago
Analysis and modificaton of Newton's method for algebraic Riccati equations
When Newton’s method is applied to find the maximal symmetric solution of an algebraic Riccati equation, convergence can be guaranteed under moderate conditions. In particular, ...
Chun-Hua Guo, Peter Lancaster
AMC
2006
119views more  AMC 2006»
13 years 10 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
CDC
2010
IEEE
130views Control Systems» more  CDC 2010»
13 years 4 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...
STACS
2007
Springer
14 years 3 months ago
On Fixed Point Equations over Commutative Semirings
Fixed point equations x = f(x) over ω-continuous semirings can be seen as the mathematical foundation of interprocedural program analysis. The sequence 0, f(0), f2 (0), . . . conv...
Javier Esparza, Stefan Kiefer, Michael Luttenberge...