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A Fast Newton's Method for a Nonsymmetric Algebraic Riccati Equation

✍ Scribed by Bini, Dario A.; Iannazzo, Bruno; Poloni, Federico


Book ID
118216927
Publisher
Society for Industrial and Applied Mathematics
Year
2008
Tongue
English
Weight
196 KB
Volume
30
Category
Article
ISSN
0895-4798

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A new class of nonsymmetric algebraic Ri
✍ Chun-Hua Guo πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 218 KB

Motivated by the study of linear quadratic differential games, we introduce a new class of nonsymmetric algebraic Riccati equations. It is shown that every equation in this class has a unique stabilizing solution, which is the solution required to find the open-loop Nash equilibrium for the differen