Summary and Info
Part 1. Linear algebra preliminaries -- Linear algebra preliminaries -- Part I. Quadratic vector and matrix equations -- Quadratic vector equations -- A Perron vector iteration for QVEs -- Unilateral quadratic matrix equations -- Nonsymmetric algebraic Riccati equations -- Transforming NAREs into UQMEs -- Part II. Rank-structured NAREs -- Storage-optimal algorithms for Cauchy-like matrices -- Newton method for rank-structured algebraic Riccati equations -- Part III. Matrix equations from control theory -- Lur'e equations -- Generalized SDA -- Part IV. Matrix geometric means -- An effective matrix geometric mean -- Constructing other matrix geometric means -- Conclusions
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