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» Analysis and modificaton of Newton's method for algebraic Ri...
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MOC
1998
115views more  MOC 1998»
13 years 7 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
DAGSTUHL
2007
13 years 9 months ago
Nonsymmetric algebraic Riccati equations associated with an M-matrix: recent advances and algorithms
We survey on theoretical properties and algorithms concerning the problem of solving a nonsymmetric algebraic Riccati equation, and we report on some known methods and new algorit...
Dario Andrea Bini, Bruno Iannazzo, Beatrice Meini,...
EUROPAR
2006
Springer
13 years 11 months ago
Parallel Solution of Large-Scale and Sparse Generalized Algebraic Riccati Equations
We discuss a parallel algorithm for the solution of large-scale generalized algebraic Riccati equations with dimension up to O(105 ). We survey the numerical algorithms underlying ...
José M. Badía, Peter Benner, Rafael ...
AMC
2008
86views more  AMC 2008»
13 years 7 months ago
Numerical solution of stochastic Nash games with state-dependent noise for weakly coupled large-scale systems
This paper discusses the infinite horizon stochastic Nash games with state-dependent noise. After establishing the asymptotic structure along with the positive semidefiniteness for...
Muneomi Sagara, Hiroaki Mukaidani, Toru Yamamoto
LSSC
2007
Springer
14 years 1 months ago
Parallel Implementation of LQG Balanced Truncation for Large-Scale Systems
Model reduction of large-scale linear time-invariant systems is an ubiquitous task in control and simulation of complex dynamical processes. We discuss how LQG balanced truncation ...
José M. Badía, Peter Benner, Rafael ...