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MOC
1998
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13 years 4 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 6 months ago
From Algebraic Riccati equations to unilateral quadratic matrix equations: old and new algorithms
The problem of reducing an algebraic Riccati equation XCX − AX − XD + B = 0 to a unilateral quadratic matrix equation (UQME) of the kind PX2 + QX + R = 0 is analyzed. New redu...
Dario Andrea Bini, Beatrice Meini, Federico Poloni
EUROPAR
2006
Springer
13 years 8 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 ...